{"doi":"10.1007/s00220-024-05143-y","OA_type":"hybrid","arxiv":1,"file":[{"checksum":"c9ae0ea195bd39b8b3a630d492fb00dc","success":1,"creator":"dernst","relation":"main_file","file_name":"2024_CommMathPhysics_Erdoes.pdf","access_level":"open_access","date_created":"2024-11-18T08:15:07Z","content_type":"application/pdf","file_id":"18562","file_size":1426046,"date_updated":"2024-11-18T08:15:07Z"}],"OA_place":"publisher","date_created":"2024-11-17T23:01:46Z","ddc":["510"],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).","date_updated":"2024-11-18T08:17:52Z","title":"Eigenstate Thermalization Hypothesis for Wigner-type matrices","oa_version":"Published Version","article_number":"282","quality_controlled":"1","publisher":"Springer Nature","issue":"12","language":[{"iso":"eng"}],"article_type":"original","scopus_import":"1","abstract":[{"text":"We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for obs ervables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables. Our results hold under very general conditions on the variance profile, even allowing many vanishing entries, demonstrating that Eigenstate Thermalization occurs robustly across a diverse class of random matrix ensembles, for which the underlying quantum system has a non-trivial spatial structure.","lang":"eng"}],"citation":{"ista":"Erdös L, Riabov V. 2024. Eigenstate Thermalization Hypothesis for Wigner-type matrices. Communications in Mathematical Physics. 405(12), 282.","mla":"Erdös, László, and Volodymyr Riabov. “Eigenstate Thermalization Hypothesis for Wigner-Type Matrices.” <i>Communications in Mathematical Physics</i>, vol. 405, no. 12, 282, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00220-024-05143-y\">10.1007/s00220-024-05143-y</a>.","apa":"Erdös, L., &#38; Riabov, V. (2024). Eigenstate Thermalization Hypothesis for Wigner-type matrices. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-024-05143-y\">https://doi.org/10.1007/s00220-024-05143-y</a>","ieee":"L. Erdös and V. Riabov, “Eigenstate Thermalization Hypothesis for Wigner-type matrices,” <i>Communications in Mathematical Physics</i>, vol. 405, no. 12. Springer Nature, 2024.","short":"L. Erdös, V. Riabov, Communications in Mathematical Physics 405 (2024).","ama":"Erdös L, Riabov V. Eigenstate Thermalization Hypothesis for Wigner-type matrices. <i>Communications in Mathematical Physics</i>. 2024;405(12). doi:<a href=\"https://doi.org/10.1007/s00220-024-05143-y\">10.1007/s00220-024-05143-y</a>","chicago":"Erdös, László, and Volodymyr Riabov. “Eigenstate Thermalization Hypothesis for Wigner-Type Matrices.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00220-024-05143-y\">https://doi.org/10.1007/s00220-024-05143-y</a>."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"1","month":"12","date_published":"2024-12-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","external_id":{"arxiv":["2403.10359"]},"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"volume":405,"author":[{"first_name":"László","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","last_name":"Erdös"},{"full_name":"Riabov, Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","last_name":"Riabov"}],"day":"01","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"LaEr"}],"publication":"Communications in Mathematical Physics","type":"journal_article","publication_status":"published","intvolume":"       405","oa":1,"corr_author":"1","year":"2024","file_date_updated":"2024-11-18T08:15:07Z","_id":"18554"}