[{"title":"Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models","arxiv":1,"article_number":"093","author":[{"full_name":"Brighi, Pietro","id":"4115AF5C-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7969-2729","first_name":"Pietro","last_name":"Brighi"},{"id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","orcid":"0000-0003-0038-7068","full_name":"Ljubotina, Marko","first_name":"Marko","last_name":"Ljubotina"},{"first_name":"Maksym","last_name":"Serbyn","full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827"}],"file":[{"file_id":"14350","date_updated":"2023-09-20T10:46:10Z","checksum":"4cef6a8021f6b6c47ab2f2f2b1387ac2","date_created":"2023-09-20T10:46:10Z","access_level":"open_access","file_name":"2023_SciPostPhysics_Brighi.pdf","success":1,"file_size":4866506,"relation":"main_file","content_type":"application/pdf","creator":"dernst"}],"day":"13","publication":"SciPost Physics","article_processing_charge":"No","ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","publisher":"SciPost Foundation","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"MaSe"}],"doi":"10.21468/scipostphys.15.3.093","quality_controlled":"1","publication_identifier":{"issn":["2542-4653"]},"keyword":["General Physics and Astronomy"],"language":[{"iso":"eng"}],"issue":"3","project":[{"_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","grant_number":"850899"}],"volume":15,"file_date_updated":"2023-09-20T10:46:10Z","date_created":"2023-09-14T13:08:23Z","date_updated":"2023-09-20T10:46:29Z","abstract":[{"text":"Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring conserved particle number and strong inversion-symmetry breaking due to facilitated hopping. We demonstrate that these models provide a generic example of so-called quantum Hilbert space fragmentation, that is manifested in disconnected sectors in the Hilbert space that are not apparent in the computational basis. Quantum Hilbert space fragmentation leads to an exponential in system size number of eigenstates with exactly zero entanglement entropy across several bipartite cuts. These eigenstates can be probed dynamically using quenches from simple initial product states. In addition, we study the particle spreading under unitary dynamics launched from the domain wall state, and find faster than diffusive dynamics at high particle densities, that crosses over into logarithmically slow relaxation at smaller densities. Using a classically simulable cellular automaton, we reproduce the logarithmic dynamics observed in the quantum case. Our work suggests that particle conserving constrained models with inversion symmetry breaking realize so far unexplored dynamical behavior and invite their further theoretical and experimental studies.","lang":"eng"}],"oa_version":"Published Version","type":"journal_article","month":"09","_id":"14334","acknowledgement":"We would like to thank Raimel A. Medina, Hansveer Singh, and Dmitry Abanin for useful\r\ndiscussions.The authors acknowledge support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation program (Grant\r\nAgreement No. 850899). We acknowledge support by the Erwin Schrödinger International\r\nInstitute for Mathematics and Physics (ESI).","year":"2023","date_published":"2023-09-13T00:00:00Z","ddc":["530"],"publication_status":"published","oa":1,"has_accepted_license":"1","intvolume":"        15","related_material":{"record":[{"id":"12750","status":"public","relation":"earlier_version"}]},"citation":{"ieee":"P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models,” <i>SciPost Physics</i>, vol. 15, no. 3. SciPost Foundation, 2023.","chicago":"Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>SciPost Physics</i>. SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphys.15.3.093\">https://doi.org/10.21468/scipostphys.15.3.093</a>.","short":"P. Brighi, M. Ljubotina, M. Serbyn, SciPost Physics 15 (2023).","ama":"Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>SciPost Physics</i>. 2023;15(3). doi:<a href=\"https://doi.org/10.21468/scipostphys.15.3.093\">10.21468/scipostphys.15.3.093</a>","mla":"Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>SciPost Physics</i>, vol. 15, no. 3, 093, SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphys.15.3.093\">10.21468/scipostphys.15.3.093</a>.","ista":"Brighi P, Ljubotina M, Serbyn M. 2023. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. SciPost Physics. 15(3), 093.","apa":"Brighi, P., Ljubotina, M., &#38; Serbyn, M. (2023). Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>SciPost Physics</i>. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphys.15.3.093\">https://doi.org/10.21468/scipostphys.15.3.093</a>"},"status":"public","external_id":{"arxiv":["2210.15607"]}},{"ddc":["530"],"date_published":"2023-08-01T00:00:00Z","has_accepted_license":"1","oa":1,"publication_status":"published","citation":{"chicago":"Brighi, Pietro, Marko Ljubotina, Dmitry A. Abanin, and Maksym Serbyn. “Many-Body Localization Proximity Effect in a Two-Species Bosonic Hubbard Model.” <i>Physical Review B</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/physrevb.108.054201\">https://doi.org/10.1103/physrevb.108.054201</a>.","ieee":"P. Brighi, M. Ljubotina, D. A. Abanin, and M. Serbyn, “Many-body localization proximity effect in a two-species bosonic Hubbard model,” <i>Physical Review B</i>, vol. 108, no. 5. American Physical Society, 2023.","short":"P. Brighi, M. Ljubotina, D.A. Abanin, M. Serbyn, Physical Review B 108 (2023).","ama":"Brighi P, Ljubotina M, Abanin DA, Serbyn M. Many-body localization proximity effect in a two-species bosonic Hubbard model. <i>Physical Review B</i>. 2023;108(5). doi:<a href=\"https://doi.org/10.1103/physrevb.108.054201\">10.1103/physrevb.108.054201</a>","apa":"Brighi, P., Ljubotina, M., Abanin, D. A., &#38; Serbyn, M. (2023). Many-body localization proximity effect in a two-species bosonic Hubbard model. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.108.054201\">https://doi.org/10.1103/physrevb.108.054201</a>","mla":"Brighi, Pietro, et al. “Many-Body Localization Proximity Effect in a Two-Species Bosonic Hubbard Model.” <i>Physical Review B</i>, vol. 108, no. 5, 054201, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/physrevb.108.054201\">10.1103/physrevb.108.054201</a>.","ista":"Brighi P, Ljubotina M, Abanin DA, Serbyn M. 2023. Many-body localization proximity effect in a two-species bosonic Hubbard model. Physical Review B. 108(5), 054201."},"intvolume":"       108","status":"public","external_id":{"arxiv":["2303.16876"]},"file_date_updated":"2023-08-07T09:48:08Z","date_created":"2023-08-05T18:25:22Z","volume":108,"oa_version":"Published Version","type":"journal_article","month":"08","abstract":[{"lang":"eng","text":"The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and nonergodic behavior in these systems gives rise to a rich phase diagram, whose exploration is an active field of research. In this paper, we study a bosonic Hubbard model featuring two particle species representing the bath and the disordered system. Using state-of-the-art numerical techniques, we investigate the dynamics of the model in different regimes, based on which we obtain a tentative phase diagram as a function of coupling strength and bath size. When the bath is composed of a single particle, we observe clear signatures of a transition from an MBL proximity effect to a delocalized phase. Increasing the bath size, however, its thermalizing effect becomes stronger and eventually the whole system delocalizes in the range of moderate interaction strengths studied. In this regime, we characterize particle transport, revealing diffusive behavior of the originally localized bosons."}],"date_updated":"2023-08-07T09:51:39Z","_id":"13963","year":"2023","acknowledgement":"We thank A. A. Michailidis and A. Mirlin for insightful discussions. P.B., M.L., and M.S. acknowledge support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899). D.A. was\r\nsupported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 864597) and by the Swiss National Science Foundation. P.B., M.L., and M.S. acknowledge PRACE for awarding us access to Joliot-Curie at GENCI@CEA, France, where the TEBD simulations were performed. The TEBD simulations were performed using the ITensor library [60].","quality_controlled":"1","doi":"10.1103/physrevb.108.054201","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"issue":"5","language":[{"iso":"eng"}],"project":[{"grant_number":"850899","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E"}],"article_number":"054201","title":"Many-body localization proximity effect in a two-species bosonic Hubbard model","arxiv":1,"day":"01","file":[{"file_name":"2023_PhysRevB_Brighi.pdf","success":1,"file_size":3051398,"relation":"main_file","content_type":"application/pdf","creator":"dernst","file_id":"13981","date_updated":"2023-08-07T09:48:08Z","checksum":"f763000339b5fd543c14377109920690","date_created":"2023-08-07T09:48:08Z","access_level":"open_access"}],"author":[{"last_name":"Brighi","first_name":"Pietro","orcid":"0000-0002-7969-2729","id":"4115AF5C-F248-11E8-B48F-1D18A9856A87","full_name":"Brighi, Pietro"},{"first_name":"Marko","last_name":"Ljubotina","full_name":"Ljubotina, Marko","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E"},{"full_name":"Abanin, Dmitry A.","last_name":"Abanin","first_name":"Dmitry A."},{"full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym"}],"article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"scopus_import":"1","ec_funded":1,"article_processing_charge":"Yes (in subscription journal)","publication":"Physical Review B","department":[{"_id":"MaSe"}],"publisher":"American Physical Society","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"abstract":[{"text":"Universal nonequilibrium properties of isolated quantum systems are typically probed by studying transport of conserved quantities, such as charge or spin, while transport of energy has received considerably less attention. Here, we study infinite-temperature energy transport in the kinetically constrained PXP model describing Rydberg atom quantum simulators. Our state-of-the-art numerical simulations, including exact diagonalization and time-evolving block decimation methods, reveal the existence of two distinct transport regimes. At moderate times, the energy-energy correlation function displays periodic oscillations due to families of eigenstates forming different su(2) representations hidden within the spectrum. These families of eigenstates generalize the quantum many-body scarred states found in previous works and leave an imprint on the infinite-temperature energy transport. At later times, we observe a long-lived superdiffusive transport regime that we attribute to the proximity of a nearby integrable point. While generic strong deformations of the PXP model indeed restore diffusive transport, adding a strong chemical potential intriguingly gives rise to a well-converged superdiffusive exponent z≈3/2. Our results suggest constrained models to be potential hosts of novel transport regimes and call for developing an analytic understanding of their energy transport.","lang":"eng"}],"date_updated":"2023-08-01T14:11:28Z","type":"journal_article","oa_version":"Published Version","month":"03","date_created":"2023-04-16T22:01:09Z","file_date_updated":"2023-04-17T08:36:53Z","volume":13,"year":"2023","acknowledgement":"We would like to thank Alexios Michailidis, Sarang Gopalakrishnan, and Achilleas Lazarides for useful comments. M. L. and M. S. acknowledge support by the European Research Council under the European Union’s Horizon 2020 research and innovation program (Grant\r\nAgreement No. 850899). J.-Y. D. and Z. P. acknowledge support by EPSRC Grant No. EP/R513258/1 and the Leverhulme Trust Research Leadership Grant No. RL2019-015. Statement of compliance with EPSRC policy framework on research data: This publication is theoretical work that does not require supporting research data. M. S., M. L., and Z. P. acknowledge support by the Erwin Schrödinger International Institute for Mathematics and\r\nPhysics. M. L. and M. S. acknowledge PRACE for awarding us access to Joliot-Curie at GENCI@CEA, France, where the TEBD simulations were performed. The TEBD\r\nsimulations were performed using the ITENSOR library [54].","_id":"12839","has_accepted_license":"1","publication_status":"published","oa":1,"ddc":["530"],"date_published":"2023-03-07T00:00:00Z","status":"public","external_id":{"isi":["000957625700001"]},"citation":{"short":"M. Ljubotina, J.Y. Desaules, M. Serbyn, Z. Papić, Physical Review X 13 (2023).","ieee":"M. Ljubotina, J. Y. Desaules, M. Serbyn, and Z. Papić, “Superdiffusive energy transport in kinetically constrained models,” <i>Physical Review X</i>, vol. 13, no. 1. American Physical Society, 2023.","chicago":"Ljubotina, Marko, Jean Yves Desaules, Maksym Serbyn, and Zlatko Papić. “Superdiffusive Energy Transport in Kinetically Constrained Models.” <i>Physical Review X</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/PhysRevX.13.011033\">https://doi.org/10.1103/PhysRevX.13.011033</a>.","mla":"Ljubotina, Marko, et al. “Superdiffusive Energy Transport in Kinetically Constrained Models.” <i>Physical Review X</i>, vol. 13, no. 1, 011033, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/PhysRevX.13.011033\">10.1103/PhysRevX.13.011033</a>.","ista":"Ljubotina M, Desaules JY, Serbyn M, Papić Z. 2023. Superdiffusive energy transport in kinetically constrained models. Physical Review X. 13(1), 011033.","apa":"Ljubotina, M., Desaules, J. Y., Serbyn, M., &#38; Papić, Z. (2023). Superdiffusive energy transport in kinetically constrained models. <i>Physical Review X</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevX.13.011033\">https://doi.org/10.1103/PhysRevX.13.011033</a>","ama":"Ljubotina M, Desaules JY, Serbyn M, Papić Z. Superdiffusive energy transport in kinetically constrained models. <i>Physical Review X</i>. 2023;13(1). doi:<a href=\"https://doi.org/10.1103/PhysRevX.13.011033\">10.1103/PhysRevX.13.011033</a>"},"intvolume":"        13","file":[{"checksum":"ee060cea609af79bba7af74b1ce28078","file_id":"12845","date_updated":"2023-04-17T08:36:53Z","access_level":"open_access","date_created":"2023-04-17T08:36:53Z","file_name":"2023_PhysReviewX_Ljubotina.pdf","success":1,"creator":"dernst","file_size":1958523,"relation":"main_file","content_type":"application/pdf"}],"day":"07","author":[{"last_name":"Ljubotina","first_name":"Marko","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","full_name":"Ljubotina, Marko"},{"last_name":"Desaules","first_name":"Jean Yves","full_name":"Desaules, Jean Yves"},{"full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","first_name":"Maksym","last_name":"Serbyn"},{"full_name":"Papić, Zlatko","last_name":"Papić","first_name":"Zlatko"}],"title":"Superdiffusive energy transport in kinetically constrained models","article_number":"011033","department":[{"_id":"MaSe"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"American Physical Society","scopus_import":"1","ec_funded":1,"article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","publication":"Physical Review X","publication_identifier":{"eissn":["2160-3308"]},"quality_controlled":"1","doi":"10.1103/PhysRevX.13.011033","project":[{"grant_number":"850899","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020"}],"language":[{"iso":"eng"}],"issue":"1","isi":1},{"day":"31","author":[{"first_name":"Marko","last_name":"Ljubotina","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","full_name":"Ljubotina, Marko"},{"full_name":"Roy, Dibyendu","first_name":"Dibyendu","last_name":"Roy"},{"full_name":"Prosen, Tomaž","last_name":"Prosen","first_name":"Tomaž"}],"title":"Absence of thermalization of free systems coupled to gapped interacting reservoirs","arxiv":1,"article_number":"054314","department":[{"_id":"MaSe"}],"publisher":"American Physical Society","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ec_funded":1,"scopus_import":"1","article_processing_charge":"No","article_type":"original","publication":"Physical Review B","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"quality_controlled":"1","doi":"10.1103/physrevb.106.054314","project":[{"grant_number":"850899","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E"}],"language":[{"iso":"eng"}],"issue":"5","isi":1,"date_updated":"2023-08-04T10:07:33Z","abstract":[{"text":"We study the thermalization of a small XX chain coupled to long, gapped XXZ leads at either side by observing the relaxation dynamics of the whole system. Using extensive tensor network simulations, we show that such systems, although not integrable, appear to show either extremely slow thermalization or even lack thereof since the two cannot be distinguished within the accuracy of our numerics. We show that the persistent oscillations observed in the spin current in the middle of the XX chain are related to eigenstates of the entire system located within the gap of the boundary chains. We find from exact diagonalization that some of these states remain strictly localized within the XX chain and do not hybridize with the rest of the system. The frequencies of the persistent oscillations determined by numerical simulations of dynamics match the energy differences between these states exactly. This has important implications for open systems, where the strongly interacting leads are often assumed to thermalize the central system. Our results suggest that, if we employ gapped systems for the leads, this assumption does not hold.","lang":"eng"}],"type":"journal_article","oa_version":"Preprint","month":"08","date_created":"2023-01-16T10:00:39Z","volume":106,"year":"2022","acknowledgement":"M.L. and T.P. acknowledge support from the European Research Council (ERC) through the advanced grant 694544 – OMNES and the grant P1-0402 of Slovenian Research Agency (ARRS). M.L. acknowledges support from the European Research Council (ERC) through the starting grant 850899 – NEQuM. D.R. acknowledges support from the Ministry of Electronics & Information Technology (MeitY), India under the grant for “Centre for Excellence in Quantum\r\nTechnologies” with Ref. No. 4(7)/2020-ITEA. ","_id":"12269","publication_status":"published","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.08373"}],"date_published":"2022-08-31T00:00:00Z","external_id":{"arxiv":["2106.08373"],"isi":["000861332900005"]},"status":"public","citation":{"chicago":"Ljubotina, Marko, Dibyendu Roy, and Tomaž Prosen. “Absence of Thermalization of Free Systems Coupled to Gapped Interacting Reservoirs.” <i>Physical Review B</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/physrevb.106.054314\">https://doi.org/10.1103/physrevb.106.054314</a>.","ieee":"M. Ljubotina, D. Roy, and T. Prosen, “Absence of thermalization of free systems coupled to gapped interacting reservoirs,” <i>Physical Review B</i>, vol. 106, no. 5. American Physical Society, 2022.","short":"M. Ljubotina, D. Roy, T. Prosen, Physical Review B 106 (2022).","ama":"Ljubotina M, Roy D, Prosen T. Absence of thermalization of free systems coupled to gapped interacting reservoirs. <i>Physical Review B</i>. 2022;106(5). doi:<a href=\"https://doi.org/10.1103/physrevb.106.054314\">10.1103/physrevb.106.054314</a>","apa":"Ljubotina, M., Roy, D., &#38; Prosen, T. (2022). Absence of thermalization of free systems coupled to gapped interacting reservoirs. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.106.054314\">https://doi.org/10.1103/physrevb.106.054314</a>","mla":"Ljubotina, Marko, et al. “Absence of Thermalization of Free Systems Coupled to Gapped Interacting Reservoirs.” <i>Physical Review B</i>, vol. 106, no. 5, 054314, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/physrevb.106.054314\">10.1103/physrevb.106.054314</a>.","ista":"Ljubotina M, Roy D, Prosen T. 2022. Absence of thermalization of free systems coupled to gapped interacting reservoirs. Physical Review B. 106(5), 054314."},"intvolume":"       106"},{"publication_identifier":{"eissn":["2691-3399"]},"quality_controlled":"1","doi":"10.1103/prxquantum.3.030343","project":[{"name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020","grant_number":"850899"}],"language":[{"iso":"eng"}],"issue":"3","keyword":["General Medicine"],"day":"23","file":[{"creator":"dernst","file_size":7661905,"relation":"main_file","content_type":"application/pdf","file_name":"2022_PRXQuantum_Ljubotina.pdf","success":1,"access_level":"open_access","date_created":"2023-01-30T11:02:50Z","checksum":"ef8f0a1b5a019b3958009162de0fa4c3","file_id":"12457","date_updated":"2023-01-30T11:02:50Z"}],"author":[{"id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","full_name":"Ljubotina, Marko","first_name":"Marko","last_name":"Ljubotina"},{"full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos","first_name":"Barbara"},{"full_name":"Abanin, Dmitry A.","last_name":"Abanin","first_name":"Dmitry A."},{"full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","last_name":"Serbyn","first_name":"Maksym"}],"arxiv":1,"title":"Optimal steering of matrix product states and quantum many-body scars","article_number":"030343","department":[{"_id":"MaSe"},{"_id":"RoSe"}],"publisher":"American Physical Society","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","ec_funded":1,"scopus_import":"1","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publication":"PRX Quantum","has_accepted_license":"1","oa":1,"publication_status":"published","ddc":["530"],"date_published":"2022-09-23T00:00:00Z","external_id":{"arxiv":["2204.02899"]},"status":"public","citation":{"short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” <i>PRX Quantum</i>, vol. 3, no. 3. American Physical Society, 2022.","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>.","ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>.","apa":"Ljubotina, M., Roos, B., Abanin, D. A., &#38; Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. American Physical Society. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>","ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. 2022;3(3). doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>"},"intvolume":"         3","abstract":[{"lang":"eng","text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model."}],"date_updated":"2023-01-30T11:05:23Z","month":"09","type":"journal_article","oa_version":"Published Version","file_date_updated":"2023-01-30T11:02:50Z","date_created":"2023-01-16T10:01:56Z","volume":3,"year":"2022","acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","_id":"12276"},{"doi":"10.48550/arXiv.2210.15607","date_published":"2022-11-07T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2210.15607"}],"oa":1,"publication_status":"submitted","related_material":{"record":[{"relation":"dissertation_contains","id":"12732","status":"public"},{"id":"14334","status":"public","relation":"later_version"}]},"language":[{"iso":"eng"}],"citation":{"short":"P. Brighi, M. Ljubotina, M. Serbyn, ArXiv (n.d.).","ieee":"P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models,” <i>arXiv</i>. .","chicago":"Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2210.15607\">https://doi.org/10.48550/arXiv.2210.15607</a>.","mla":"Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>ArXiv</i>, 2210.15607, doi:<a href=\"https://doi.org/10.48550/arXiv.2210.15607\">10.48550/arXiv.2210.15607</a>.","ista":"Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. arXiv, 2210.15607.","apa":"Brighi, P., Ljubotina, M., &#38; Serbyn, M. (n.d.). Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2210.15607\">https://doi.org/10.48550/arXiv.2210.15607</a>","ama":"Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2210.15607\">10.48550/arXiv.2210.15607</a>"},"status":"public","external_id":{"arxiv":["2210.15607"]},"article_number":"2210.15607","arxiv":1,"title":"Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models","date_created":"2023-03-23T14:33:13Z","author":[{"last_name":"Brighi","first_name":"Pietro","orcid":"0000-0002-7969-2729","id":"4115AF5C-F248-11E8-B48F-1D18A9856A87","full_name":"Brighi, Pietro"},{"first_name":"Marko","last_name":"Ljubotina","full_name":"Ljubotina, Marko","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","orcid":"0000-0003-0038-7068"},{"last_name":"Serbyn","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym"}],"type":"preprint","oa_version":"Preprint","month":"11","abstract":[{"lang":"eng","text":"Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring a conserved particle number and strong inversion-symmetry breaking due to facilitated hopping. We demonstrate that these models provide a generic example of so-called quantum Hilbert space fragmentation, that is manifested in disconnected sectors in the Hilbert space that are not apparent in the computational basis. Quantum Hilbert space fragmentation leads to an exponential in system size number of eigenstates with exactly zero entanglement entropy across several bipartite cuts. These eigenstates can be probed dynamically using quenches from simple initial product states. In addition, we study the particle spreading under unitary dynamics launched from the domain wall state, and find faster than diffusive dynamics at high particle densities, that crosses over into logarithmically slow relaxation at smaller densities. Using a classically simulable cellular automaton, we reproduce the logarithmic dynamics observed in the quantum case. Our work suggests that particle conserving constrained models with inversion symmetry breaking realize so far unexplored universality classes of dynamics and invite their further theoretical and experimental studies."}],"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","date_updated":"2023-09-20T10:46:29Z","day":"07","_id":"12750","publication":"arXiv","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)"},"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"GradSch"},{"_id":"MaSe"}],"year":"2022"}]