[{"publisher":"Cambridge University Press","doi":"10.1017/fms.2023.45","article_processing_charge":"Yes","type":"journal_article","date_updated":"2023-11-02T12:30:50Z","_id":"13178","ddc":["500"],"page":"1-52","quality_controlled":"1","external_id":{"isi":["001005008800001"],"arxiv":["2203.02454"]},"isi":1,"year":"2023","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication":"Forum of Mathematics","status":"public","date_published":"2023-06-13T00:00:00Z","acknowledgement":"This research was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.).","ec_funded":1,"oa_version":"Published Version","title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","author":[{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"},{"first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"day":"13","scopus_import":"1","article_type":"original","date_created":"2023-07-02T22:00:43Z","volume":11,"abstract":[{"lang":"eng","text":"We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar."}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"intvolume":"        11","has_accepted_license":"1","publication_identifier":{"eissn":["2050-5094"]},"publication_status":"published","file_date_updated":"2023-07-03T10:36:25Z","arxiv":1,"month":"06","file":[{"file_id":"13186","creator":"alisjak","date_updated":"2023-07-03T10:36:25Z","date_created":"2023-07-03T10:36:25Z","file_size":943192,"checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.","chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>.","mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>.","apa":"Mitrouskas, D. J., Mysliwy, K., &#38; Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>","ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. 2023;11:1-52. doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.","ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” <i>Forum of Mathematics</i>, vol. 11. Cambridge University Press, pp. 1–52, 2023."}},{"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"3","citation":{"chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>.","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17.","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3, 17, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>.","apa":"Lampart, J., Mitrouskas, D. J., &#38; Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. 2023;26(3). doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3. Springer Nature, 2023."},"arxiv":1,"month":"07","file":[{"checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_name":"2023_MathPhysics_Lampart.pdf","file_id":"14225","date_updated":"2023-08-23T10:59:15Z","creator":"dernst","file_size":317026,"date_created":"2023-08-23T10:59:15Z"}],"article_number":"17","department":[{"_id":"RoSe"}],"abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"intvolume":"        26","has_accepted_license":"1","publication_status":"published","publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"file_date_updated":"2023-08-23T10:59:15Z","title":"On the global minimum of the energy–momentum relation for the polaron","oa_version":"Published Version","author":[{"full_name":"Lampart, Jonas","last_name":"Lampart","first_name":"Jonas"},{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"},{"last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof"}],"scopus_import":"1","day":"26","article_type":"original","date_created":"2023-08-22T14:09:47Z","volume":26,"status":"public","publication":"Mathematical Physics, Analysis and Geometry","date_published":"2023-07-26T00:00:00Z","acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","external_id":{"isi":["001032992600001"],"arxiv":["2206.14708"]},"year":"2023","isi":1,"keyword":["Geometry and Topology","Mathematical Physics"],"ddc":["510"],"quality_controlled":"1","publisher":"Springer Nature","doi":"10.1007/s11040-023-09460-x","article_processing_charge":"Yes (via OA deal)","type":"journal_article","date_updated":"2023-12-13T12:16:19Z","_id":"14192"},{"alternative_title":["ISTA Thesis"],"article_processing_charge":"No","doi":"10.15479/at:ista:11473","publisher":"Institute of Science and Technology Austria","_id":"11473","date_updated":"2023-09-07T13:43:52Z","type":"dissertation","page":"138","ddc":["515","539"],"year":"2022","related_material":{"record":[{"id":"10564","status":"public","relation":"part_of_dissertation"},{"id":"8705","relation":"part_of_dissertation","status":"public"}]},"degree_awarded":"PhD","status":"public","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program"}],"ec_funded":1,"date_published":"2022-07-01T00:00:00Z","day":"01","author":[{"last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof"}],"oa_version":"Published Version","title":"Polarons in Bose gases and polar crystals: Some rigorous energy estimates","date_created":"2022-06-30T12:15:03Z","has_accepted_license":"1","acknowledged_ssus":[{"_id":"SSU"}],"abstract":[{"text":"The polaron model is a basic model of quantum field theory describing a single particle\r\ninteracting with a bosonic field. It arises in many physical contexts. We are mostly concerned\r\nwith models applicable in the context of an impurity atom in a Bose-Einstein condensate as\r\nwell as the problem of electrons moving in polar crystals.\r\nThe model has a simple structure in which the interaction of the particle with the field is given\r\nby a term linear in the field’s creation and annihilation operators. In this work, we investigate\r\nthe properties of this model by providing rigorous estimates on various energies relevant to the\r\nproblem. The estimates are obtained, for the most part, by suitable operator techniques which\r\nconstitute the principal mathematical substance of the thesis.\r\nThe first application of these techniques is to derive the polaron model rigorously from first\r\nprinciples, i.e., from a full microscopic quantum-mechanical many-body problem involving an\r\nimpurity in an otherwise homogeneous system. We accomplish this for the N + 1 Bose gas\r\nin the mean-field regime by showing that a suitable polaron-type Hamiltonian arises at weak\r\ninteractions as a low-energy effective theory for this problem.\r\nIn the second part, we investigate rigorously the ground state of the model at fixed momentum\r\nand for large values of the coupling constant. Qualitatively, the system is expected to display\r\na transition from the quasi-particle behavior at small momenta, where the dispersion relation\r\nis parabolic and the particle moves through the medium dragging along a cloud of phonons, to\r\nthe radiative behavior at larger momenta where the polaron decelerates and emits free phonons.\r\nAt the same time, in the strong coupling regime, the bosonic field is expected to behave purely\r\nclassically. Accordingly, the effective mass of the polaron at strong coupling is conjectured to\r\nbe asymptotically equal to the one obtained from the semiclassical counterpart of the problem,\r\nfirst studied by Landau and Pekar in the 1940s. For polaron models with regularized form\r\nfactors and phonon dispersion relations of superfluid type, i.e., bounded below by a linear\r\nfunction of the wavenumbers for all phonon momenta as in the interacting Bose gas, we prove\r\nthat for a large window of momenta below the radiation threshold, the energy-momentum\r\nrelation at strong coupling is indeed essentially a parabola with semi-latus rectum equal to the\r\nLandau–Pekar effective mass, as expected.\r\nFor the Fröhlich polaron describing electrons in polar crystals where the dispersion relation is\r\nof the optical type and the form factor is formally UV–singular due to the nature of the point\r\ncharge-dipole interaction, we are able to give the corresponding upper bound. In contrast to\r\nthe regular case, this requires the inclusion of the quantum fluctuations of the phonon field,\r\nwhich makes the problem considerably more difficult.\r\nThe results are supplemented by studies on the absolute ground-state energy at strong coupling,\r\na proof of the divergence of the effective mass with the coupling constant for a wide class of\r\npolaron models, as well as the discussion of the apparent UV singularity of the Fröhlich model\r\nand the application of the techniques used for its removal for the energy estimates.\r\n","lang":"eng"}],"file_date_updated":"2022-07-05T08:17:12Z","publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"supervisor":[{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"month":"07","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file":[{"file_size":1830973,"date_created":"2022-07-05T08:12:56Z","date_updated":"2022-07-05T08:12:56Z","creator":"kmysliwy","file_id":"11486","file_name":"thes1_no_isbn_2_1b.pdf","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"7970714a20a6052f75fb27a6c3e9976e"},{"checksum":"647a2011fdf56277096c9350fefe1097","relation":"source_file","access_level":"closed","content_type":"application/zip","file_name":"thes_source.zip","file_id":"11487","date_updated":"2022-07-05T08:17:12Z","creator":"kmysliwy","file_size":5831060,"date_created":"2022-07-05T08:15:52Z"}],"oa":1,"language":[{"iso":"eng"}],"citation":{"ista":"Mysliwy K. 2022. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria.","chicago":"Mysliwy, Krzysztof. “Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:11473\">https://doi.org/10.15479/at:ista:11473</a>.","apa":"Mysliwy, K. (2022). <i>Polarons in Bose gases and polar crystals: Some rigorous energy estimates</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:11473\">https://doi.org/10.15479/at:ista:11473</a>","mla":"Mysliwy, Krzysztof. <i>Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:11473\">10.15479/at:ista:11473</a>.","ama":"Mysliwy K. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:11473\">10.15479/at:ista:11473</a>","ieee":"K. Mysliwy, “Polarons in Bose gases and polar crystals: Some rigorous energy estimates,” Institute of Science and Technology Austria, 2022.","short":"K. Mysliwy, Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates, Institute of Science and Technology Austria, 2022."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"oa":1,"language":[{"iso":"eng"}],"citation":{"ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5."},"issue":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"01","arxiv":1,"department":[{"_id":"RoSe"}],"file":[{"relation":"main_file","checksum":"da03f6d293c4b9802091bce9471b1d29","file_name":"2022_JournalStatPhys_Myśliwy.pdf","success":1,"content_type":"application/pdf","access_level":"open_access","file_id":"10716","file_size":434957,"date_created":"2022-02-02T14:24:41Z","creator":"cchlebak","date_updated":"2022-02-02T14:24:41Z"}],"article_number":"5","has_accepted_license":"1","abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"intvolume":"       186","file_date_updated":"2022-02-02T14:24:41Z","publication_status":"published","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"day":"01","scopus_import":"1","author":[{"full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","first_name":"Krzysztof"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"title":"Polaron models with regular interactions at strong coupling","oa_version":"Published Version","volume":186,"date_created":"2021-12-19T23:01:32Z","article_type":"original","publication":"Journal of Statistical Physics","status":"public","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","name":"International IST Doctoral Program","grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"ec_funded":1,"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","date_published":"2022-01-01T00:00:00Z","isi":1,"year":"2022","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"11473"}]},"external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"ddc":["530"],"quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","doi":"10.1007/s10955-021-02851-w","publisher":"Springer Nature","_id":"10564","date_updated":"2023-09-07T13:43:51Z","type":"journal_article"},{"article_type":"original","date_created":"2020-10-25T23:01:19Z","volume":21,"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","oa_version":"Published Version","author":[{"last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"scopus_import":"1","day":"01","publication_status":"published","publication_identifier":{"issn":["1424-0637"]},"file_date_updated":"2020-10-27T12:49:04Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model."}],"intvolume":"        21","has_accepted_license":"1","file":[{"checksum":"c12c9c1e6f08def245e42f3cb1d83827","relation":"main_file","content_type":"application/pdf","access_level":"open_access","file_name":"2020_Annales_Mysliwy.pdf","success":1,"file_id":"8711","date_updated":"2020-10-27T12:49:04Z","creator":"cziletti","file_size":469831,"date_created":"2020-10-27T12:49:04Z"}],"department":[{"_id":"RoSe"}],"arxiv":1,"month":"12","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","issue":"12","citation":{"ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>.","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. 2020;21(12):4003-4025. doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” <i>Annales Henri Poincare</i>, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025."},"language":[{"iso":"eng"}],"oa":1,"type":"journal_article","date_updated":"2023-09-07T13:43:51Z","_id":"8705","publisher":"Springer Nature","doi":"10.1007/s00023-020-00969-3","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","ddc":["530"],"page":"4003-4025","external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"related_material":{"record":[{"id":"11473","status":"public","relation":"dissertation_contains"}]},"year":"2020","isi":1,"date_published":"2020-12-01T00:00:00Z","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)","ec_funded":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program"}],"status":"public","publication":"Annales Henri Poincare"},{"_id":"6840","date_updated":"2023-08-29T07:19:13Z","type":"journal_article","article_processing_charge":"No","doi":"10.1088/1742-5468/ab190d","publisher":"IOP Publishing","main_file_link":[{"url":"https://arxiv.org/abs/1810.02209","open_access":"1"}],"quality_controlled":"1","year":"2019","isi":1,"external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"ec_funded":1,"date_published":"2019-06-13T00:00:00Z","status":"public","publication":"Journal of Statistical Mechanics: Theory and Experiment","project":[{"call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"volume":2019,"date_created":"2019-09-01T22:00:59Z","day":"13","scopus_import":"1","author":[{"full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","first_name":"Krzysztof"},{"first_name":"Marek","full_name":"Napiórkowski, Marek","last_name":"Napiórkowski"}],"title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","oa_version":"Preprint","publication_status":"published","publication_identifier":{"eissn":["1742-5468"]},"intvolume":"      2019","abstract":[{"text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases.","lang":"eng"}],"department":[{"_id":"RoSe"}],"article_number":"063101","month":"06","arxiv":1,"citation":{"ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2019;2019(6). doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6. IOP Publishing, 2019.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2019. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>.","ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","apa":"Mysliwy, K., &#38; Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>."},"issue":"6","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"language":[{"iso":"eng"}]}]