{"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"American Physical Society","ec_funded":1,"language":[{"iso":"eng"}],"article_processing_charge":"No","issue":"1","publication_identifier":{"eissn":["2160-3308"]},"author":[{"last_name":"Ljubotina","first_name":"Marko","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","full_name":"Ljubotina, Marko"},{"full_name":"Desaules, Jean Yves","last_name":"Desaules","first_name":"Jean Yves"},{"last_name":"Serbyn","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827"},{"full_name":"Papić, Zlatko","last_name":"Papić","first_name":"Zlatko"}],"date_published":"2023-03-07T00:00:00Z","date_created":"2023-04-16T22:01:09Z","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)"},"ddc":["530"],"article_type":"original","title":"Superdiffusive energy transport in kinetically constrained models","_id":"12839","oa":1,"file_date_updated":"2023-04-17T08:36:53Z","day":"07","quality_controlled":"1","publication":"Physical Review X","abstract":[{"lang":"eng","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."}],"scopus_import":"1","has_accepted_license":"1","year":"2023","intvolume":"        13","isi":1,"doi":"10.1103/PhysRevX.13.011033","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].","citation":{"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>.","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>","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>.","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>","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.","ista":"Ljubotina M, Desaules JY, Serbyn M, Papić Z. 2023. Superdiffusive energy transport in kinetically constrained models. Physical Review X. 13(1), 011033."},"department":[{"_id":"MaSe"}],"publication_status":"published","month":"03","type":"journal_article","file":[{"file_id":"12845","date_created":"2023-04-17T08:36:53Z","success":1,"creator":"dernst","relation":"main_file","date_updated":"2023-04-17T08:36:53Z","file_size":1958523,"checksum":"ee060cea609af79bba7af74b1ce28078","file_name":"2023_PhysReviewX_Ljubotina.pdf","access_level":"open_access","content_type":"application/pdf"}],"project":[{"name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","grant_number":"850899"}],"oa_version":"Published Version","article_number":"011033","volume":13,"date_updated":"2023-08-01T14:11:28Z","external_id":{"isi":["000957625700001"]}}