[{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2023-04-14T00:00:00Z","publication_identifier":{"issn":["2666-9366"]},"oa":1,"file":[{"file_id":"13329","creator":"dernst","success":1,"relation":"main_file","access_level":"open_access","date_updated":"2023-07-31T09:02:27Z","content_type":"application/pdf","file_name":"2023_SciPostPhysCore_Tucci.pdf","date_created":"2023-07-31T09:02:27Z","checksum":"b472bc82108747eda5d52adf9e2ac7f3","file_size":523236}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","has_accepted_license":"1","publication":"SciPost Physics Core","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa_version":"Published Version","article_number":"029","month":"04","keyword":["Statistical and Nonlinear Physics","Atomic and Molecular Physics","and Optics","Nuclear and High Energy Physics","Condensed Matter Physics"],"language":[{"iso":"eng"}],"citation":{"chicago":"Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic Representation of the Quantum Quartic Oscillator.” <i>SciPost Physics Core</i>. SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">https://doi.org/10.21468/scipostphyscore.6.2.029</a>.","ieee":"G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation of the quantum quartic oscillator,” <i>SciPost Physics Core</i>, vol. 6, no. 2. SciPost Foundation, 2023.","apa":"Tucci, G., De Nicola, S., Wald, S., &#38; Gambassi, A. (2023). Stochastic representation of the quantum quartic oscillator. <i>SciPost Physics Core</i>. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">https://doi.org/10.21468/scipostphyscore.6.2.029</a>","ama":"Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the quantum quartic oscillator. <i>SciPost Physics Core</i>. 2023;6(2). doi:<a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">10.21468/scipostphyscore.6.2.029</a>","ista":"Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029.","mla":"Tucci, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.” <i>SciPost Physics Core</i>, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">10.21468/scipostphyscore.6.2.029</a>.","short":"G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023)."},"year":"2023","date_updated":"2023-07-31T09:03:28Z","external_id":{"arxiv":["2211.01923"]},"day":"14","doi":"10.21468/scipostphyscore.6.2.029","arxiv":1,"abstract":[{"lang":"eng","text":"Recent experimental advances have inspired the development of theoretical tools to describe the non-equilibrium dynamics of quantum systems. Among them an exact representation of quantum spin systems in terms of classical stochastic processes has been proposed. Here we provide first steps towards the extension of this stochastic approach to bosonic systems by considering the one-dimensional quantum quartic oscillator. We show how to exactly parameterize the time evolution of this prototypical model via the dynamics of a set of classical variables. We interpret these variables as stochastic processes, which allows us to propose a novel way to numerically simulate the time evolution of the system. We benchmark our findings by considering analytically solvable limits and providing alternative derivations of known results."}],"volume":6,"acknowledgement":"S. De Nicola acknowledges funding from the Institute of Science and Technology Austria (ISTA), and from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411. S. De Nicola also acknowledges funding from the EPSRC Center for Doctoral Training in Cross-Disciplinary Approaches to NonEquilibrium Systems (CANES) under Grant EP/L015854/1. ","ddc":["530"],"_id":"13277","issue":"2","author":[{"full_name":"Tucci, Gennaro","last_name":"Tucci","first_name":"Gennaro"},{"last_name":"De Nicola","first_name":"Stefano","full_name":"De Nicola, Stefano","orcid":"0000-0002-4842-6671","id":"42832B76-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Wald, Sascha","last_name":"Wald","first_name":"Sascha"},{"full_name":"Gambassi, Andrea","first_name":"Andrea","last_name":"Gambassi"}],"article_processing_charge":"No","department":[{"_id":"MaSe"}],"date_created":"2023-07-24T10:47:46Z","publication_status":"published","intvolume":"         6","title":"Stochastic representation of the quantum quartic oscillator","ec_funded":1,"quality_controlled":"1","file_date_updated":"2023-07-31T09:02:27Z","publisher":"SciPost Foundation","article_type":"original"},{"ddc":["530"],"volume":189,"acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","isi":1,"external_id":{"isi":["000833007200002"]},"date_updated":"2023-09-05T14:57:49Z","citation":{"ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>.","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022.","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>"},"year":"2022","abstract":[{"text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.","lang":"eng"}],"doi":"10.1007/s10955-022-02965-9","day":"29","file_date_updated":"2022-08-08T07:36:34Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"Springer Nature","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","last_name":"Henheik","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"_id":"11732","scopus_import":"1","title":"The BCS energy gap at high density","intvolume":"       189","publication_status":"published","date_created":"2022-08-05T11:36:56Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","file":[{"date_updated":"2022-08-08T07:36:34Z","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","content_type":"application/pdf","date_created":"2022-08-08T07:36:34Z","checksum":"b398c4dbf65f71d417981d6e366427e9","file_size":419563,"file_id":"11746","creator":"dernst","relation":"main_file","success":1,"access_level":"open_access"}],"date_published":"2022-07-29T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"publication":"Journal of Statistical Physics","has_accepted_license":"1","month":"07","article_number":"5","oa_version":"Published Version","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}]},{"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"dernst","file_id":"11784","access_level":"open_access","success":1,"relation":"main_file","content_type":"application/pdf","file_name":"2022_JourMathPhysics_Bossmann.pdf","date_updated":"2022-08-11T07:03:02Z","file_size":5957888,"checksum":"d0d32c338c1896680174be88c70968fa","date_created":"2022-08-11T07:03:02Z"}],"type":"journal_article","date_published":"2022-06-10T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Mathematical Physics","article_number":"061102","month":"06","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"oa_version":"Published Version","ddc":["530"],"volume":63,"acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"isi":1,"year":"2022","citation":{"ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>","chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>.","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing, 2022.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>.","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102."},"date_updated":"2023-08-03T12:46:28Z","abstract":[{"lang":"eng","text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix."}],"day":"10","arxiv":1,"doi":"10.1063/5.0089983","file_date_updated":"2022-08-11T07:03:02Z","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"AIP Publishing","issue":"6","author":[{"full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","last_name":"Bossmann","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"}],"scopus_import":"1","_id":"11783","intvolume":"        63","title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","department":[{"_id":"RoSe"}],"date_created":"2022-08-11T06:37:52Z","article_processing_charge":"Yes (via OA deal)","publication_status":"published"},{"acknowledgement":"J.H. acknowledges partial financial support from ERC Advanced Grant “RMTBeyond” No. 101020331.","volume":63,"external_id":{"arxiv":["2012.15238"],"isi":["000739446000009"]},"isi":1,"year":"2022","citation":{"ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. 2022;63(1). doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1. AIP Publishing, 2022.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>.","short":"S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1, 011901, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>.","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. Journal of Mathematical Physics. 63(1), 011901."},"date_updated":"2023-08-02T13:44:32Z","abstract":[{"text":"We show that recent results on adiabatic theory for interacting gapped many-body systems on finite lattices remain valid in the thermodynamic limit. More precisely, we prove a generalized super-adiabatic theorem for the automorphism group describing the infinite volume dynamics on the quasi-local algebra of observables. The key assumption is the existence of a sequence of gapped finite volume Hamiltonians, which generates the same infinite volume dynamics in the thermodynamic limit. Our adiabatic theorem also holds for certain perturbations of gapped ground states that close the spectral gap (so it is also an adiabatic theorem for resonances and, in this sense, “generalized”), and it provides an adiabatic approximation to all orders in the adiabatic parameter (a property often called “super-adiabatic”). In addition to the existing results for finite lattices, we also perform a resummation of the adiabatic expansion and allow for observables that are not strictly local. Finally, as an application, we prove the validity of linear and higher order response theory for our class of perturbations for infinite systems. While we consider the result and its proof as new and interesting in itself, we also lay the foundation for the proof of an adiabatic theorem for systems with a gap only in the bulk, which will be presented in a follow-up article.","lang":"eng"}],"day":"03","arxiv":1,"doi":"10.1063/5.0051632","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"AIP Publishing","issue":"1","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha"},{"full_name":"Teufel, Stefan","last_name":"Teufel","first_name":"Stefan"}],"_id":"10600","intvolume":"        63","title":"Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"date_created":"2022-01-03T12:19:48Z","article_processing_charge":"No","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2012.15238","open_access":"1"}],"type":"journal_article","date_published":"2022-01-03T00:00:00Z","oa":1,"publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"keyword":["mathematical physics","statistical and nonlinear physics"],"language":[{"iso":"eng"}],"publication":"Journal of Mathematical Physics","article_number":"011901","month":"01","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"oa_version":"Preprint"},{"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"oa_version":"Published Version","article_number":"9","month":"01","has_accepted_license":"1","publication":"Letters in Mathematical Physics","keyword":["mathematical physics","statistical and nonlinear physics"],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2022-01-18T00:00:00Z","file":[{"content_type":"application/pdf","file_name":"2022_LettersMathPhys_Henheik.pdf","date_updated":"2022-01-19T09:41:14Z","file_size":357547,"checksum":"7e8e69b76e892c305071a4736131fe18","date_created":"2022-01-19T09:41:14Z","creator":"cchlebak","file_id":"10647","success":1,"access_level":"open_access","relation":"main_file"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"article_processing_charge":"No","date_created":"2022-01-18T16:18:25Z","publication_status":"published","intvolume":"       112","title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","_id":"10642","issue":"1","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"full_name":"Teufel, Stefan","last_name":"Teufel","first_name":"Stefan"},{"last_name":"Wessel","first_name":"Tom","full_name":"Wessel, Tom"}],"publisher":"Springer Nature","article_type":"original","quality_controlled":"1","ec_funded":1,"file_date_updated":"2022-01-19T09:41:14Z","day":"18","doi":"10.1007/s11005-021-01494-y","arxiv":1,"abstract":[{"lang":"eng","text":"Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences."}],"year":"2022","citation":{"chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>.","ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1. Springer Nature, 2022.","apa":"Henheik, S. J., Teufel, S., &#38; Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>","ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. 2022;112(1). doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>","ista":"Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).","mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>."},"date_updated":"2023-08-02T13:57:02Z","external_id":{"isi":["000744930400001"],"arxiv":["2106.13780"]},"isi":1,"volume":112,"acknowledgement":"J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL.","ddc":["530"]},{"doi":"10.1007/s10955-022-02940-4","day":"01","abstract":[{"text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.","lang":"eng"}],"date_updated":"2023-08-03T12:55:58Z","citation":{"chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>.","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022.","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022)."},"year":"2022","isi":1,"external_id":{"isi":["000805175000001"]},"acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","volume":188,"ddc":["510"],"publication_status":"published","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2022-08-18T07:23:26Z","title":"Large deviation estimates for weakly interacting bosons","intvolume":"       188","_id":"11917","scopus_import":"1","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","last_name":"Rademacher"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert"}],"publisher":"Springer Nature","article_type":"original","quality_controlled":"1","ec_funded":1,"file_date_updated":"2022-08-18T08:09:00Z","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_published":"2022-07-01T00:00:00Z","type":"journal_article","file":[{"file_size":483481,"checksum":"44418cb44f07fa21ed3907f85abf7f39","date_created":"2022-08-18T08:09:00Z","content_type":"application/pdf","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","date_updated":"2022-08-18T08:09:00Z","success":1,"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"11922"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Published Version","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"month":"07","article_number":"9","publication":"Journal of Statistical Physics","has_accepted_license":"1","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"]},{"issue":"6","author":[{"orcid":"0000-0003-2640-4049","full_name":"Koudjinan, Edmond","first_name":"Edmond","last_name":"Koudjinan","id":"52DF3E68-AEFA-11EA-95A4-124A3DDC885E"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","last_name":"Kaloshin","first_name":"Vadim","full_name":"Kaloshin, Vadim","orcid":"0000-0002-6051-2628"}],"scopus_import":"1","_id":"12145","intvolume":"        27","title":"On some invariants of Birkhoff billiards under conjugacy","date_created":"2023-01-12T12:06:49Z","article_processing_charge":"No","department":[{"_id":"VaKa"}],"publication_status":"published","quality_controlled":"1","ec_funded":1,"page":"525-537","article_type":"original","publisher":"Springer Nature","external_id":{"isi":["000865267300002"],"arxiv":["2105.14640"]},"isi":1,"citation":{"mla":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6, Springer Nature, 2022, pp. 525–37, doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>.","short":"E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.","ista":"Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.","apa":"Koudjinan, E., &#38; Kaloshin, V. (2022). On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>","ama":"Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. 2022;27(6):525-537. doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>","chicago":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>.","ieee":"E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022."},"year":"2022","date_updated":"2023-08-04T08:59:14Z","abstract":[{"lang":"eng","text":"In the class of strictly convex smooth boundaries each of which has no strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In contrast, we prove that any two elliptic billiard maps are C0-conjugate near their respective boundaries, and C∞-conjugate, near the boundary and away from a line passing through the center of the underlying ellipse. We also prove that, if the billiard maps corresponding to two ellipses are topologically conjugate, then the two ellipses are similar."}],"day":"03","doi":"10.1134/S1560354722050021","arxiv":1,"acknowledgement":"We are grateful to the anonymous referees for their careful reading and valuable remarks and\r\ncomments which helped to improve the paper significantly. We gratefully acknowledge support from the European Research Council (ERC) through the Advanced Grant “SPERIG” (#885707).","volume":27,"publication":"Regular and Chaotic Dynamics","month":"10","project":[{"grant_number":"885707","name":"Spectral rigidity and integrability for billiards and geodesic flows","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","call_identifier":"H2020"}],"oa_version":"Preprint","keyword":["Mechanical Engineering","Applied Mathematics","Mathematical Physics","Modeling and Simulation","Statistical and Nonlinear Physics","Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2022-10-03T00:00:00Z","oa":1,"publication_identifier":{"eissn":["1468-4845"],"issn":["1560-3547"]},"related_material":{"link":[{"relation":"erratum","url":"https://doi.org/10.1134/s1560354722060107"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2105.14640"}]},{"ddc":["510"],"volume":23,"acknowledgement":"Open access funding provided by Swiss Federal Institute of Technology Zurich. Supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","external_id":{"isi":["000796323500001"]},"isi":1,"citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Density of Small Singular Values of the Shifted Real Ginibre Ensemble.” <i>Annales Henri Poincaré</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00023-022-01188-8\">https://doi.org/10.1007/s00023-022-01188-8</a>.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Density of small singular values of the shifted real Ginibre ensemble,” <i>Annales Henri Poincaré</i>, vol. 23, no. 11. Springer Nature, pp. 3981–4002, 2022.","ama":"Cipolloni G, Erdös L, Schröder DJ. Density of small singular values of the shifted real Ginibre ensemble. <i>Annales Henri Poincaré</i>. 2022;23(11):3981-4002. doi:<a href=\"https://doi.org/10.1007/s00023-022-01188-8\">10.1007/s00023-022-01188-8</a>","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2022). Density of small singular values of the shifted real Ginibre ensemble. <i>Annales Henri Poincaré</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-022-01188-8\">https://doi.org/10.1007/s00023-022-01188-8</a>","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Density of small singular values of the shifted real Ginibre ensemble. Annales Henri Poincaré. 23(11), 3981–4002.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.","mla":"Cipolloni, Giorgio, et al. “Density of Small Singular Values of the Shifted Real Ginibre Ensemble.” <i>Annales Henri Poincaré</i>, vol. 23, no. 11, Springer Nature, 2022, pp. 3981–4002, doi:<a href=\"https://doi.org/10.1007/s00023-022-01188-8\">10.1007/s00023-022-01188-8</a>."},"year":"2022","date_updated":"2023-08-04T09:33:52Z","abstract":[{"text":"We derive a precise asymptotic formula for the density of the small singular values of the real Ginibre matrix ensemble shifted by a complex parameter z as the dimension tends to infinity. For z away from the real axis the formula coincides with that for the complex Ginibre ensemble we derived earlier in Cipolloni et al. (Prob Math Phys 1:101–146, 2020). On the level of the one-point function of the low lying singular values we thus confirm the transition from real to complex Ginibre ensembles as the shift parameter z becomes genuinely complex; the analogous phenomenon has been well known for eigenvalues. We use the superbosonization formula (Littelmann et al. in Comm Math Phys 283:343–395, 2008) in a regime where the main contribution comes from a three dimensional saddle manifold.","lang":"eng"}],"day":"01","doi":"10.1007/s00023-022-01188-8","file_date_updated":"2023-01-27T11:06:47Z","quality_controlled":"1","page":"3981-4002","article_type":"original","publisher":"Springer Nature","issue":"11","author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J","first_name":"Dominik J","last_name":"Schröder"}],"scopus_import":"1","_id":"12232","intvolume":"        23","title":"Density of small singular values of the shifted real Ginibre ensemble","department":[{"_id":"LaEr"}],"date_created":"2023-01-16T09:50:26Z","article_processing_charge":"No","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"file_id":"12424","creator":"dernst","success":1,"relation":"main_file","access_level":"open_access","date_updated":"2023-01-27T11:06:47Z","content_type":"application/pdf","file_name":"2022_AnnalesHenriP_Cipolloni.pdf","date_created":"2023-01-27T11:06:47Z","checksum":"5582f059feeb2f63e2eb68197a34d7dc","file_size":1333638}],"type":"journal_article","date_published":"2022-11-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["1424-0637"],"eissn":["1424-0661"]},"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Annales Henri Poincaré","month":"11","oa_version":"Published Version"},{"issue":"10","author":[{"orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Dominik J","last_name":"Schröder","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87"},{"id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3","full_name":"Xu, Yuanyuan","first_name":"Yuanyuan","last_name":"Xu"}],"scopus_import":"1","_id":"12243","intvolume":"        63","title":"Directional extremal statistics for Ginibre eigenvalues","date_created":"2023-01-16T09:52:58Z","department":[{"_id":"LaEr"}],"article_processing_charge":"Yes (via OA deal)","publication_status":"published","file_date_updated":"2023-01-30T08:01:10Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"AIP Publishing","external_id":{"arxiv":["2206.04443"],"isi":["000869715800001"]},"isi":1,"citation":{"mla":"Cipolloni, Giorgio, et al. “Directional Extremal Statistics for Ginibre Eigenvalues.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 10, 103303, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0104290\">10.1063/5.0104290</a>.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).","ista":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2022. Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. 63(10), 103303.","apa":"Cipolloni, G., Erdös, L., Schröder, D. J., &#38; Xu, Y. (2022). Directional extremal statistics for Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0104290\">https://doi.org/10.1063/5.0104290</a>","ama":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>. 2022;63(10). doi:<a href=\"https://doi.org/10.1063/5.0104290\">10.1063/5.0104290</a>","ieee":"G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “Directional extremal statistics for Ginibre eigenvalues,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 10. AIP Publishing, 2022.","chicago":"Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu. “Directional Extremal Statistics for Ginibre Eigenvalues.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0104290\">https://doi.org/10.1063/5.0104290</a>."},"year":"2022","date_updated":"2023-08-04T09:40:02Z","abstract":[{"lang":"eng","text":"We consider the eigenvalues of a large dimensional real or complex Ginibre matrix in the region of the complex plane where their real parts reach their maximum value. This maximum follows the Gumbel distribution and that these extreme eigenvalues form a Poisson point process as the dimension asymptotically tends to infinity. In the complex case, these facts have already been established by Bender [Probab. Theory Relat. Fields 147, 241 (2010)] and in the real case by Akemann and Phillips [J. Stat. Phys. 155, 421 (2014)] even for the more general elliptic ensemble with a sophisticated saddle point analysis. The purpose of this article is to give a very short direct proof in the Ginibre case with an effective error term. Moreover, our estimates on the correlation kernel in this regime serve as a key input for accurately locating [Formula: see text] for any large matrix X with i.i.d. entries in the companion paper [G. Cipolloni et al., arXiv:2206.04448 (2022)]. "}],"day":"14","doi":"10.1063/5.0104290","arxiv":1,"ddc":["510","530"],"acknowledgement":"The authors are grateful to G. Akemann for bringing Refs. 19 and 24–26 to their attention. Discussions with Guillaume Dubach on a preliminary version of this project are acknowledged.\r\nL.E. and Y.X. were supported by the ERC Advanced Grant “RMTBeyond” under Grant No. 101020331. D.S. was supported by Dr. Max Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.","volume":63,"has_accepted_license":"1","publication":"Journal of Mathematical Physics","article_number":"103303","month":"10","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"oa_version":"Published Version","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2022-10-14T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"creator":"dernst","file_id":"12436","success":1,"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2022_JourMathPhysics_Cipolloni2.pdf","date_updated":"2023-01-30T08:01:10Z","file_size":7356807,"checksum":"2db278ae5b07f345a7e3fec1f92b5c33","date_created":"2023-01-30T08:01:10Z"}]},{"status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"oa":1,"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"date_published":"2022-09-15T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"month":"09","article_number":"92","oa_version":"Preprint","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"publication":"Letters in Mathematical Physics","acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","volume":112,"abstract":[{"text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy.","lang":"eng"}],"arxiv":1,"doi":"10.1007/s11005-022-01584-5","day":"15","isi":1,"external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"date_updated":"2023-09-05T15:17:34Z","citation":{"apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. 2022;112(5). doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5. Springer Nature, 2022.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5, 92, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>.","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92."},"year":"2022","article_type":"original","publisher":"Springer Nature","ec_funded":1,"quality_controlled":"1","title":"Improved Lieb–Oxford bound on the indirect and exchange energies","intvolume":"       112","publication_status":"published","article_processing_charge":"No","date_created":"2023-01-16T09:53:54Z","department":[{"_id":"RoSe"}],"author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"issue":"5","_id":"12246","scopus_import":"1"},{"intvolume":"        32","title":"Crises and chaotic scattering in hydrodynamic pilot-wave experiments","department":[{"_id":"MaSe"},{"_id":"BjHo"},{"_id":"NanoFab"}],"date_created":"2023-01-16T09:58:16Z","article_processing_charge":"No","publication_status":"published","issue":"9","author":[{"full_name":"Choueiri, George H","last_name":"Choueiri","first_name":"George H","id":"448BD5BC-F248-11E8-B48F-1D18A9856A87"},{"id":"47A5E706-F248-11E8-B48F-1D18A9856A87","first_name":"Balachandra","last_name":"Suri","full_name":"Suri, Balachandra"},{"first_name":"Jack","last_name":"Merrin","orcid":"0000-0001-5145-4609","full_name":"Merrin, Jack","id":"4515C308-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827","last_name":"Serbyn","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","last_name":"Hof","first_name":"Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Nazmi B","last_name":"Budanur","orcid":"0000-0003-0423-5010","full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"}],"scopus_import":"1","_id":"12259","article_type":"original","publisher":"AIP Publishing","file_date_updated":"2023-01-30T09:41:12Z","quality_controlled":"1","abstract":[{"text":"Theoretical foundations of chaos have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena, e.g., weather, arise in systems with many (formally infinite) degrees of freedom, which limits direct quantitative analysis of such systems using chaos theory. In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer a bridge between low- and high-dimensional chaotic phenomena by allowing for a systematic study of how the former connects to the latter. Specifically, we present experimental results, which show the formation of low-dimensional chaotic attractors upon destabilization of regular dynamics and a final transition to high-dimensional chaos via the merging of distinct chaotic regions through a crisis bifurcation. Moreover, we show that the post-crisis dynamics of the system can be rationalized as consecutive scatterings from the nonattracting chaotic sets with lifetimes following exponential distributions. ","lang":"eng"}],"day":"26","arxiv":1,"doi":"10.1063/5.0102904","external_id":{"isi":["000861009600005"],"arxiv":["2206.01531"]},"isi":1,"citation":{"mla":"Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>.","short":"G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2022).","ista":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. 32(9), 093138.","ama":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(9). doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>","apa":"Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., &#38; Budanur, N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>","ieee":"G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur, “Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9. AIP Publishing, 2022.","chicago":"Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>."},"year":"2022","date_updated":"2023-08-04T09:51:17Z","ddc":["530"],"acknowledgement":"This work was partially funded by the Institute of Science and Technology Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos and Quantum Analogies.”","volume":32,"article_number":"093138","month":"09","oa_version":"Published Version","has_accepted_license":"1","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"oa":1,"publication_identifier":{"eissn":["1089-7682"],"issn":["1054-1500"]},"type":"journal_article","date_published":"2022-09-26T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"date_created":"2023-01-30T09:41:12Z","checksum":"17881eff8b21969359a2dd64620120ba","file_size":3209644,"date_updated":"2023-01-30T09:41:12Z","file_name":"2022_Chaos_Choueiri.pdf","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"12445","creator":"dernst"}]},{"ddc":["510","530"],"volume":2022,"acknowledgement":"The authors would like to thank Andrea Montanari for helpful discussions.\r\nM Mondelli was partially supported by the 2019 Lopez-Loreta Prize. R Venkataramanan was partially supported by the Alan Turing Institute under the EPSRC Grant\r\nEP/N510129/1.","isi":1,"external_id":{"isi":["000889589900001"]},"date_updated":"2024-03-07T10:36:52Z","year":"2022","citation":{"ista":"Mondelli M, Venkataramanan R. 2022. Approximate message passing with spectral initialization for generalized linear models. Journal of Statistical Mechanics: Theory and Experiment. 2022(11), 114003.","mla":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2022, no. 11, 114003, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1742-5468/ac9828\">10.1088/1742-5468/ac9828</a>.","short":"M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory and Experiment 2022 (2022).","ieee":"M. Mondelli and R. Venkataramanan, “Approximate message passing with spectral initialization for generalized linear models,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2022, no. 11. IOP Publishing, 2022.","chicago":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2022. <a href=\"https://doi.org/10.1088/1742-5468/ac9828\">https://doi.org/10.1088/1742-5468/ac9828</a>.","apa":"Mondelli, M., &#38; Venkataramanan, R. (2022). Approximate message passing with spectral initialization for generalized linear models. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ac9828\">https://doi.org/10.1088/1742-5468/ac9828</a>","ama":"Mondelli M, Venkataramanan R. Approximate message passing with spectral initialization for generalized linear models. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2022;2022(11). doi:<a href=\"https://doi.org/10.1088/1742-5468/ac9828\">10.1088/1742-5468/ac9828</a>"},"abstract":[{"text":"We consider the problem of estimating a signal from measurements obtained via a generalized linear model. We focus on estimators based on approximate message passing (AMP), a family of iterative algorithms with many appealing features: the performance of AMP in the high-dimensional limit can be succinctly characterized under suitable model assumptions; AMP can also be tailored to the empirical distribution of the signal entries, and for a wide class of estimation problems, AMP is conjectured to be optimal among all polynomial-time algorithms. However, a major issue of AMP is that in many models (such as phase retrieval), it requires an initialization correlated with the ground-truth signal and independent from the measurement matrix. Assuming that such an initialization is available is typically not realistic. In this paper, we solve this problem by proposing an AMP algorithm initialized with a spectral estimator. With such an initialization, the standard AMP analysis fails since the spectral estimator depends in a complicated way on the design matrix. Our main contribution is a rigorous characterization of the performance of AMP with spectral initialization in the high-dimensional limit. The key technical idea is to define and analyze a two-phase artificial AMP algorithm that first produces the spectral estimator, and then closely approximates the iterates of the true AMP. We also provide numerical results that demonstrate the validity of the proposed approach.","lang":"eng"}],"doi":"10.1088/1742-5468/ac9828","day":"24","file_date_updated":"2023-02-02T08:35:52Z","quality_controlled":"1","article_type":"original","publisher":"IOP Publishing","author":[{"first_name":"Marco","last_name":"Mondelli","orcid":"0000-0002-3242-7020","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"first_name":"Ramji","last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji"}],"issue":"11","_id":"12480","scopus_import":"1","title":"Approximate message passing with spectral initialization for generalized linear models","intvolume":"      2022","publication_status":"published","date_created":"2023-02-02T08:31:57Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"MaMo"}],"related_material":{"record":[{"relation":"earlier_version","id":"10598","status":"public"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"file_id":"12481","creator":"dernst","relation":"main_file","access_level":"open_access","success":1,"date_updated":"2023-02-02T08:35:52Z","content_type":"application/pdf","file_name":"2022_JourStatisticalMechanics_Mondelli.pdf","date_created":"2023-02-02T08:35:52Z","file_size":1729997,"checksum":"01411ffa76d3e380a0446baeb89b1ef7"}],"date_published":"2022-11-24T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["1742-5468"]},"language":[{"iso":"eng"}],"keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"publication":"Journal of Statistical Mechanics: Theory and Experiment","has_accepted_license":"1","month":"11","article_number":"114003","oa_version":"Published Version","project":[{"name":"Prix Lopez-Loretta 2019 - Marco Mondelli","_id":"059876FA-7A3F-11EA-A408-12923DDC885E"}]},{"publication":"Reviews in Mathematical Physics","article_number":"2060012","month":"02","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"oa_version":"Preprint","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2021-02-01T00:00:00Z","oa":1,"publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","main_file_link":[{"url":"https://arxiv.org/abs/1912.12509","open_access":"1"}],"issue":"01","author":[{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"scopus_import":"1","_id":"10852","intvolume":"        33","title":"The polaron at strong coupling","department":[{"_id":"RoSe"}],"article_processing_charge":"No","date_created":"2022-03-18T08:11:34Z","publication_status":"published","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"World Scientific Publishing","external_id":{"arxiv":["1912.12509"],"isi":["000613313200013"]},"isi":1,"citation":{"ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>.","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012."},"year":"2021","date_updated":"2023-09-05T16:08:02Z","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"day":"01","arxiv":1,"doi":"10.1142/s0129055x20600120","volume":33,"acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227)."},{"title":"The BCS energy gap at low density","intvolume":"       111","publication_status":"published","department":[{"_id":"GradSch"}],"date_created":"2021-02-15T09:27:14Z","article_processing_charge":"Yes (via OA deal)","author":[{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen"}],"_id":"9121","article_type":"original","publisher":"Springer Nature","file_date_updated":"2021-02-15T09:31:07Z","quality_controlled":"1","abstract":[{"text":"We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin the low density limit μ→0. Together with the similar result for the critical temperature by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in the low density limit, the ratio of the energy gap and critical temperature is a universal constant independent of the interaction potential V. The results hold for a class of potentials with negative scattering length a and no bound states.","lang":"eng"}],"doi":"10.1007/s11005-021-01358-5","day":"12","isi":1,"external_id":{"isi":["000617531900001"]},"date_updated":"2023-09-05T15:17:16Z","citation":{"chicago":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>.","ieee":"A. B. Lauritsen, “The BCS energy gap at low density,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","apa":"Lauritsen, A. B. (2021). The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>","ama":"Lauritsen AB. The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>","ista":"Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical Physics. 111, 20.","mla":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>, vol. 111, 20, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>.","short":"A.B. Lauritsen, Letters in Mathematical Physics 111 (2021)."},"year":"2021","ddc":["510"],"volume":111,"acknowledgement":"Most of this work was done as part of the author’s master’s thesis. The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen Access funding provided by Institute of Science and Technology (IST Austria)","month":"02","article_number":"20","oa_version":"Published Version","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication":"Letters in Mathematical Physics","has_accepted_license":"1","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"oa":1,"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"date_published":"2021-02-12T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"checksum":"eaf1b3ff5026f120f0929a5c417dc842","file_size":329332,"date_created":"2021-02-15T09:31:07Z","file_name":"2021_LettersMathPhysics_Lauritsen.pdf","content_type":"application/pdf","date_updated":"2021-02-15T09:31:07Z","access_level":"open_access","relation":"main_file","success":1,"creator":"dernst","file_id":"9122"}]},{"issue":"1","author":[{"id":"42832B76-F248-11E8-B48F-1D18A9856A87","full_name":"De Nicola, Stefano","orcid":"0000-0002-4842-6671","last_name":"De Nicola","first_name":"Stefano"}],"_id":"9158","intvolume":"      2021","title":"Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation","date_created":"2021-02-17T17:48:46Z","department":[{"_id":"MaSe"}],"article_processing_charge":"No","publication_status":"published","file_date_updated":"2021-02-19T14:04:40Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"IOP Publishing","external_id":{"isi":["000605080300001"]},"isi":1,"year":"2021","citation":{"ieee":"S. De Nicola, “Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2021, no. 1. IOP Publishing, 2021.","chicago":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2021. <a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">https://doi.org/10.1088/1742-5468/abc7c7</a>.","apa":"De Nicola, S. (2021). Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">https://doi.org/10.1088/1742-5468/abc7c7</a>","ama":"De Nicola S. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2021;2021(1). doi:<a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">10.1088/1742-5468/abc7c7</a>","ista":"De Nicola S. 2021. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory and Experiment. 2021(1), 013101.","mla":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:<a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">10.1088/1742-5468/abc7c7</a>.","short":"S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021 (2021)."},"date_updated":"2023-08-07T13:46:28Z","abstract":[{"text":"While several tools have been developed to study the ground state of many-body quantum spin systems, the limitations of existing techniques call for the exploration of new approaches. In this manuscript we develop an alternative analytical and numerical framework for many-body quantum spin ground states, based on the disentanglement formalism. In this approach, observables are exactly expressed as Gaussian-weighted functional integrals over scalar fields. We identify the leading contribution to these integrals, given by the saddle point of a suitable effective action. Analytically, we develop a field-theoretical expansion of the functional integrals, performed by means of appropriate Feynman rules. The expansion can be truncated to a desired order to obtain analytical approximations to observables. Numerically, we show that the disentanglement approach can be used to compute ground state expectation values from classical stochastic processes. While the associated fluctuations grow exponentially with imaginary time and the system size, this growth can be mitigated by means of an importance sampling scheme based on knowledge of the saddle point configuration. We illustrate the advantages and limitations of our methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions. Our analytical and numerical approaches are applicable to a broad class of systems, bridging concepts from quantum lattice models, continuum field theory, and classical stochastic processes.","lang":"eng"}],"day":"05","doi":"10.1088/1742-5468/abc7c7","ddc":["530"],"volume":2021,"acknowledgement":"S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev, A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology (IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D N is grateful to IST\r\nAustria for providing open access funding.","has_accepted_license":"1","publication":"Journal of Statistical Mechanics: Theory and Experiment","article_number":"013101","month":"01","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"oa_version":"Published Version","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2021-01-05T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["1742-5468"]},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"access_level":"open_access","relation":"main_file","success":1,"creator":"dernst","file_id":"9172","checksum":"64e2aae4837790db26e1dd1986c69c07","file_size":1693609,"date_created":"2021-02-19T14:04:40Z","file_name":"2021_JourStatMech_deNicola.pdf","content_type":"application/pdf","date_updated":"2021-02-19T14:04:40Z"}]},{"article_type":"original","publisher":"World Scientific Publishing","quality_controlled":"1","intvolume":"        33","title":"Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results","date_created":"2021-03-26T11:29:46Z","article_processing_charge":"No","publication_status":"published","issue":"01","author":[{"full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"first_name":"Stefan","last_name":"Teufel","full_name":"Teufel, Stefan"}],"scopus_import":"1","_id":"9285","ddc":["500"],"extern":"1","volume":33,"abstract":[{"text":"We first review the problem of a rigorous justification of Kubo’s formula for transport coefficients in gapped extended Hamiltonian quantum systems at zero temperature. In particular, the theoretical understanding of the quantum Hall effect rests on the validity of Kubo’s formula for such systems, a connection that we review briefly as well. We then highlight an approach to linear response theory based on non-equilibrium almost-stationary states (NEASS) and on a corresponding adiabatic theorem for such systems that was recently proposed and worked out by one of us in [51] for interacting fermionic systems on finite lattices. In the second part of our paper, we show how to lift the results of [51] to infinite systems by taking a thermodynamic limit.","lang":"eng"}],"day":"01","doi":"10.1142/s0129055x20600041","arxiv":1,"external_id":{"arxiv":["2002.08669"]},"citation":{"apa":"Henheik, S. J., &#38; Teufel, S. (2021). Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600041\">https://doi.org/10.1142/s0129055x20600041</a>","ama":"Henheik SJ, Teufel S. Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600041\">10.1142/s0129055x20600041</a>","ieee":"S. J. Henheik and S. Teufel, “Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for Gapped Systems at Zero Temperature: A Brief Review and Some New Results.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600041\">https://doi.org/10.1142/s0129055x20600041</a>.","short":"S.J. Henheik, S. Teufel, Reviews in Mathematical Physics 33 (2021).","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for Gapped Systems at Zero Temperature: A Brief Review and Some New Results.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060004, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600041\">10.1142/s0129055x20600041</a>.","ista":"Henheik SJ, Teufel S. 2021. Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results. Reviews in Mathematical Physics. 33(01), 2060004."},"year":"2021","date_updated":"2023-02-23T13:53:59Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"article_number":"2060004","month":"02","oa_version":"Preprint","has_accepted_license":"1","publication":"Reviews in Mathematical Physics","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://arxiv.org/abs/2002.08669","open_access":"1"}],"oa":1,"publication_identifier":{"issn":["0129-055X","1793-6659"]},"type":"journal_article","date_published":"2021-02-01T00:00:00Z"},{"publication":"Journal of Mathematical Physics","has_accepted_license":"1","month":"08","article_number":"083305","oa_version":"Published Version","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"date_published":"2021-08-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"file_id":"10188","creator":"cziletti","success":1,"relation":"main_file","access_level":"open_access","date_updated":"2021-10-27T12:57:06Z","content_type":"application/pdf","file_name":"2021_JMathPhy_Lauritsen.pdf","date_created":"2021-10-27T12:57:06Z","file_size":4352640,"checksum":"d035be2b894c4d50d90ac5ce252e27cd"}],"author":[{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard"}],"issue":"8","_id":"9891","scopus_import":"1","title":"Floating Wigner crystal and periodic jellium configurations","intvolume":"        62","publication_status":"published","article_processing_charge":"No","date_created":"2021-08-12T07:08:36Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file_date_updated":"2021-10-27T12:57:06Z","quality_controlled":"1","article_type":"original","publisher":"AIP Publishing","isi":1,"external_id":{"isi":["000683960800003"],"arxiv":["2103.07975"]},"date_updated":"2023-08-11T10:29:48Z","year":"2021","citation":{"ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305.","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8. AIP Publishing, 2021.","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2021. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. 2021;62(8). doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>"},"abstract":[{"lang":"eng","text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations."}],"doi":"10.1063/5.0053494","arxiv":1,"day":"01","ddc":["530"],"volume":62,"acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes."},{"oa":1,"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"date_published":"2021-08-30T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"content_type":"application/pdf","file_name":"2021_CommunMathPhys_Wirth.pdf","date_updated":"2021-09-08T09:46:34Z","file_size":505971,"checksum":"8a602f916b1c2b0dc1159708b7cb204b","date_created":"2021-09-08T07:34:24Z","creator":"cchlebak","file_id":"9990","access_level":"open_access","relation":"main_file"}],"month":"08","oa_version":"Published Version","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"publication":"Communications in Mathematical Physics","has_accepted_license":"1","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"abstract":[{"lang":"eng","text":"In this article we introduce a complete gradient estimate for symmetric quantum Markov semigroups on von Neumann algebras equipped with a normal faithful tracial state, which implies semi-convexity of the entropy with respect to the recently introduced noncommutative 2-Wasserstein distance. We show that this complete gradient estimate is stable under tensor products and free products and establish its validity for a number of examples. As an application we prove a complete modified logarithmic Sobolev inequality with optimal constant for Poisson-type semigroups on free group factors."}],"doi":"10.1007/s00220-021-04199-4","arxiv":1,"day":"30","isi":1,"external_id":{"isi":["000691214200001"],"arxiv":["2007.13506"]},"date_updated":"2023-08-11T11:09:07Z","year":"2021","citation":{"apa":"Wirth, M., &#38; Zhang, H. (2021). Complete gradient estimates of quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-021-04199-4\">https://doi.org/10.1007/s00220-021-04199-4</a>","ama":"Wirth M, Zhang H. Complete gradient estimates of quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. 2021;387:761–791. doi:<a href=\"https://doi.org/10.1007/s00220-021-04199-4\">10.1007/s00220-021-04199-4</a>","ieee":"M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” <i>Communications in Mathematical Physics</i>, vol. 387. Springer Nature, pp. 761–791, 2021.","chicago":"Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00220-021-04199-4\">https://doi.org/10.1007/s00220-021-04199-4</a>.","short":"M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.","mla":"Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>, vol. 387, Springer Nature, 2021, pp. 761–791, doi:<a href=\"https://doi.org/10.1007/s00220-021-04199-4\">10.1007/s00220-021-04199-4</a>.","ista":"Wirth M, Zhang H. 2021. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 387, 761–791."},"ddc":["621"],"acknowledgement":"Both authors would like to thank Jan Maas for fruitful discussions and helpful comments.","volume":387,"title":"Complete gradient estimates of quantum Markov semigroups","intvolume":"       387","publication_status":"published","article_processing_charge":"Yes (via OA deal)","date_created":"2021-08-30T10:07:44Z","department":[{"_id":"JaMa"}],"author":[{"orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","first_name":"Melchior","last_name":"Wirth","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E"},{"first_name":"Haonan","last_name":"Zhang","full_name":"Zhang, Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"_id":"9973","scopus_import":"1","article_type":"original","publisher":"Springer Nature","file_date_updated":"2021-09-08T09:46:34Z","page":"761–791","quality_controlled":"1","ec_funded":1},{"extern":"1","volume":374,"external_id":{"arxiv":["1809.08947"]},"year":"2019","citation":{"chicago":"Bálint, Péter, Jacopo De Simoi, Vadim Kaloshin, and Martin Leguil. “Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00220-019-03448-x\">https://doi.org/10.1007/s00220-019-03448-x</a>.","ieee":"P. Bálint, J. De Simoi, V. Kaloshin, and M. Leguil, “Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards,” <i>Communications in Mathematical Physics</i>, vol. 374, no. 3. Springer Nature, pp. 1531–1575, 2019.","apa":"Bálint, P., De Simoi, J., Kaloshin, V., &#38; Leguil, M. (2019). Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-019-03448-x\">https://doi.org/10.1007/s00220-019-03448-x</a>","ama":"Bálint P, De Simoi J, Kaloshin V, Leguil M. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. <i>Communications in Mathematical Physics</i>. 2019;374(3):1531-1575. doi:<a href=\"https://doi.org/10.1007/s00220-019-03448-x\">10.1007/s00220-019-03448-x</a>","ista":"Bálint P, De Simoi J, Kaloshin V, Leguil M. 2019. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. Communications in Mathematical Physics. 374(3), 1531–1575.","mla":"Bálint, Péter, et al. “Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards.” <i>Communications in Mathematical Physics</i>, vol. 374, no. 3, Springer Nature, 2019, pp. 1531–75, doi:<a href=\"https://doi.org/10.1007/s00220-019-03448-x\">10.1007/s00220-019-03448-x</a>.","short":"P. Bálint, J. De Simoi, V. Kaloshin, M. Leguil, Communications in Mathematical Physics 374 (2019) 1531–1575."},"date_updated":"2021-01-12T08:19:08Z","abstract":[{"text":"We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift on three symbols that provides a natural labeling of all periodic orbits. We study the following inverse problem: does the Marked Length Spectrum (i.e., the set of lengths of periodic orbits together with their labeling), determine the geometry of the billiard table? We show that from the Marked Length Spectrum it is possible to recover the curvature at periodic points of period two, as well as the Lyapunov exponent of each periodic orbit.","lang":"eng"}],"day":"09","arxiv":1,"doi":"10.1007/s00220-019-03448-x","quality_controlled":"1","page":"1531-1575","article_type":"original","publisher":"Springer Nature","issue":"3","author":[{"full_name":"Bálint, Péter","first_name":"Péter","last_name":"Bálint"},{"full_name":"De Simoi, Jacopo","last_name":"De Simoi","first_name":"Jacopo"},{"id":"FE553552-CDE8-11E9-B324-C0EBE5697425","full_name":"Kaloshin, Vadim","orcid":"0000-0002-6051-2628","last_name":"Kaloshin","first_name":"Vadim"},{"first_name":"Martin","last_name":"Leguil","full_name":"Leguil, Martin"}],"_id":"8415","intvolume":"       374","title":"Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards","article_processing_charge":"No","date_created":"2020-09-17T10:41:27Z","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","main_file_link":[{"url":"https://arxiv.org/abs/1809.08947","open_access":"1"}],"type":"journal_article","date_published":"2019-05-09T00:00:00Z","oa":1,"publication_identifier":{"issn":["0010-3616","1432-0916"]},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","month":"05","oa_version":"Preprint"},{"abstract":[{"text":"The restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet or an asteroid) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of mass on elliptic orbits with some positive eccentricity. The aim of this paper is to show the existence of orbits whose angular momentum performs arbitrary excursions in a large region. In particular, there exist diffusive orbits, that is, with a large variation of angular momentum. The leading idea of the proof consists in analyzing parabolic motions of the comet. By a well-known result of McGehee, the union of future (resp. past) parabolic orbits is an analytic manifold P+ (resp. P−). In a properly chosen coordinate system these manifolds are stable (resp. unstable) manifolds of a manifold at infinity P∞, which we call the manifold at parabolic infinity. On P∞ it is possible to define two scattering maps, which contain the map structure of the homoclinic trajectories to it, i.e. orbits parabolic both in the future and the past. Since the inner dynamics inside P∞ is trivial, two different scattering maps are used. The combination of these two scattering maps permits the design of the desired diffusive pseudo-orbits. Using shadowing techniques and these pseudo orbits we show the existence of true trajectories of the RPETBP whose angular momentum varies in any predetermined fashion.","lang":"eng"}],"doi":"10.1007/s00220-018-3248-z","publication_identifier":{"issn":["0010-3616","1432-0916"]},"day":"05","date_published":"2018-09-05T00:00:00Z","type":"journal_article","date_updated":"2021-01-12T08:19:08Z","year":"2018","citation":{"chicago":"Delshams, Amadeu, Vadim Kaloshin, Abraham de la Rosa, and Tere M. Seara. “Global Instability in the Restricted Planar Elliptic Three Body Problem.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1007/s00220-018-3248-z\">https://doi.org/10.1007/s00220-018-3248-z</a>.","ieee":"A. Delshams, V. Kaloshin, A. de la Rosa, and T. M. Seara, “Global instability in the restricted planar elliptic three body problem,” <i>Communications in Mathematical Physics</i>, vol. 366, no. 3. Springer Nature, pp. 1173–1228, 2018.","apa":"Delshams, A., Kaloshin, V., de la Rosa, A., &#38; Seara, T. M. (2018). Global instability in the restricted planar elliptic three body problem. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-018-3248-z\">https://doi.org/10.1007/s00220-018-3248-z</a>","ama":"Delshams A, Kaloshin V, de la Rosa A, Seara TM. Global instability in the restricted planar elliptic three body problem. <i>Communications in Mathematical Physics</i>. 2018;366(3):1173-1228. doi:<a href=\"https://doi.org/10.1007/s00220-018-3248-z\">10.1007/s00220-018-3248-z</a>","ista":"Delshams A, Kaloshin V, de la Rosa A, Seara TM. 2018. Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. 366(3), 1173–1228.","mla":"Delshams, Amadeu, et al. “Global Instability in the Restricted Planar Elliptic Three Body Problem.” <i>Communications in Mathematical Physics</i>, vol. 366, no. 3, Springer Nature, 2018, pp. 1173–228, doi:<a href=\"https://doi.org/10.1007/s00220-018-3248-z\">10.1007/s00220-018-3248-z</a>.","short":"A. Delshams, V. Kaloshin, A. de la Rosa, T.M. Seara, Communications in Mathematical Physics 366 (2018) 1173–1228."},"extern":"1","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":366,"title":"Global instability in the restricted planar elliptic three body problem","month":"09","intvolume":"       366","oa_version":"None","publication_status":"published","article_processing_charge":"No","date_created":"2020-09-17T10:41:43Z","author":[{"first_name":"Amadeu","last_name":"Delshams","full_name":"Delshams, Amadeu"},{"first_name":"Vadim","last_name":"Kaloshin","orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"last_name":"de la Rosa","first_name":"Abraham","full_name":"de la Rosa, Abraham"},{"first_name":"Tere M.","last_name":"Seara","full_name":"Seara, Tere M."}],"issue":"3","publication":"Communications in Mathematical Physics","_id":"8417","article_type":"original","publisher":"Springer Nature","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"page":"1173-1228","quality_controlled":"1"}]