{"abstract":[{"text":"Eigenstate thermalization in quantum many-body systems implies that eigenstates at high energy are similar to random vectors. Identifying systems where at least some eigenstates are nonthermal is an outstanding question. In this Letter we show that interacting quantum models that have a nullspace—a degenerate subspace of eigenstates at zero energy (zero modes), which corresponds to infinite temperature, provide a route to nonthermal eigenstates. We analytically show the existence of a zero mode which can be represented as a matrix product state for a certain class of local Hamiltonians. In the more general case we use a subspace disentangling algorithm to generate an orthogonal basis of zero modes characterized by increasing entanglement entropy. We show evidence for an area-law entanglement scaling of the least-entangled zero mode in the broad parameter regime, leading to a conjecture that all local Hamiltonians with the nullspace feature zero modes with area-law entanglement scaling and, as such, break the strong thermalization hypothesis. Finally, we find zero modes in constrained models and propose a setup for observing their experimental signatures.","lang":"eng"}],"department":[{"_id":"MaSe"},{"_id":"GradSch"},{"_id":"MiLe"}],"issue":"6","date_published":"2021-08-06T00:00:00Z","publication_status":"published","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2023-08-11T10:43:27Z","month":"08","article_processing_charge":"Yes (in subscription journal)","day":"06","file":[{"content_type":"application/pdf","creator":"mserbyn","access_level":"open_access","file_name":"PhysRevLett.127.060602_SOM.pdf","checksum":"51218f302dcef99d90d1209809fcc874","relation":"main_file","success":1,"file_id":"9904","file_size":5064231,"date_created":"2021-08-13T09:28:08Z","date_updated":"2021-08-13T09:28:08Z"}],"type":"journal_article","status":"public","quality_controlled":"1","title":"Area-law entangled eigenstates from nullspaces of local Hamiltonians","publisher":"American Physical Society","date_created":"2021-08-13T09:27:39Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"oa_version":"Published Version","language":[{"iso":"eng"}],"_id":"9903","article_number":"060602","ec_funded":1,"article_type":"letter_note","citation":{"ieee":"V. Karle, M. Serbyn, and A. Michailidis, “Area-law entangled eigenstates from nullspaces of local Hamiltonians,” <i>Physical Review Letters</i>, vol. 127, no. 6. American Physical Society, 2021.","mla":"Karle, Volker, et al. “Area-Law Entangled Eigenstates from Nullspaces of Local Hamiltonians.” <i>Physical Review Letters</i>, vol. 127, no. 6, 060602, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/physrevlett.127.060602\">10.1103/physrevlett.127.060602</a>.","short":"V. Karle, M. Serbyn, A. Michailidis, Physical Review Letters 127 (2021).","ista":"Karle V, Serbyn M, Michailidis A. 2021. Area-law entangled eigenstates from nullspaces of local Hamiltonians. Physical Review Letters. 127(6), 060602.","chicago":"Karle, Volker, Maksym Serbyn, and Alexios Michailidis. “Area-Law Entangled Eigenstates from Nullspaces of Local Hamiltonians.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/physrevlett.127.060602\">https://doi.org/10.1103/physrevlett.127.060602</a>.","apa":"Karle, V., Serbyn, M., &#38; Michailidis, A. (2021). Area-law entangled eigenstates from nullspaces of local Hamiltonians. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.127.060602\">https://doi.org/10.1103/physrevlett.127.060602</a>","ama":"Karle V, Serbyn M, Michailidis A. Area-law entangled eigenstates from nullspaces of local Hamiltonians. <i>Physical Review Letters</i>. 2021;127(6). doi:<a href=\"https://doi.org/10.1103/physrevlett.127.060602\">10.1103/physrevlett.127.060602</a>"},"publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"external_id":{"arxiv":["2102.13633"],"isi":["000684276000002"]},"doi":"10.1103/physrevlett.127.060602","publication":"Physical Review Letters","has_accepted_license":"1","author":[{"id":"D7C012AE-D7ED-11E9-95E8-1EC5E5697425","full_name":"Karle, Volker","first_name":"Volker","last_name":"Karle","orcid":"0000-0002-6963-0129"},{"id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym","first_name":"Maksym","last_name":"Serbyn","orcid":"0000-0002-2399-5827"},{"orcid":"0000-0002-8443-1064","id":"36EBAD38-F248-11E8-B48F-1D18A9856A87","full_name":"Michailidis, Alexios","first_name":"Alexios","last_name":"Michailidis"}],"ddc":["539"],"project":[{"call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","grant_number":"850899"}],"isi":1,"acknowledgement":"We acknowledge useful discussions with V. Gritsev and A. Garkun and suggestions on implementation of the\r\nPPXPP model by D. Bluvstein. A. M. and M. S. were supported by the European Research Council (ERC) under\r\nthe European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899)","file_date_updated":"2021-08-13T09:28:08Z","year":"2021","volume":127,"intvolume":"       127"}