{"department":[{"_id":"LaEr"}],"abstract":[{"lang":"eng","text":"We consider two Hamiltonians that are close to each other, H1≈H2, and analyze the time-decay of the corresponding Loschmidt echo M(t):=|⟨ψ0,eitH2e−itH1ψ0⟩|2 that expresses the effect of an imperfect time reversal on the initial state ψ0. Our model Hamiltonians are deformed Wigner matrices that do not share a common eigenbasis. The main tools for our results are two-resolvent laws for such H1 and H2."}],"OA_place":"publisher","file_date_updated":"2025-02-05T07:01:40Z","month":"01","scopus_import":"1","isi":1,"project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"citation":{"ama":"Erdös L, Henheik SJ, Kolupaiev O. Loschmidt echo for deformed Wigner matrices. <i>Letters in Mathematical Physics</i>. 2025;115. doi:<a href=\"https://doi.org/10.1007/s11005-025-01904-5\">10.1007/s11005-025-01904-5</a>","ista":"Erdös L, Henheik SJ, Kolupaiev O. 2025. Loschmidt echo for deformed Wigner matrices. Letters in Mathematical Physics. 115, 14.","chicago":"Erdös, László, Sven Joscha Henheik, and Oleksii Kolupaiev. “Loschmidt Echo for Deformed Wigner Matrices.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s11005-025-01904-5\">https://doi.org/10.1007/s11005-025-01904-5</a>.","apa":"Erdös, L., Henheik, S. J., &#38; Kolupaiev, O. (2025). Loschmidt echo for deformed Wigner matrices. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-025-01904-5\">https://doi.org/10.1007/s11005-025-01904-5</a>","mla":"Erdös, László, et al. “Loschmidt Echo for Deformed Wigner Matrices.” <i>Letters in Mathematical Physics</i>, vol. 115, 14, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s11005-025-01904-5\">10.1007/s11005-025-01904-5</a>.","short":"L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025).","ieee":"L. Erdös, S. J. Henheik, and O. Kolupaiev, “Loschmidt echo for deformed Wigner matrices,” <i>Letters in Mathematical Physics</i>, vol. 115. Springer Nature, 2025."},"_id":"19001","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_type":"hybrid","language":[{"iso":"eng"}],"ddc":["510"],"type":"journal_article","volume":115,"intvolume":"       115","file":[{"file_id":"19004","file_name":"2025_LettersMathPhysics_Erdoes.pdf","file_size":828335,"relation":"main_file","date_updated":"2025-02-05T07:01:40Z","access_level":"open_access","creator":"dernst","date_created":"2025-02-05T07:01:40Z","content_type":"application/pdf","checksum":"ee07edf5f85a6f2651926b2f8760af74","success":1}],"ec_funded":1,"article_number":"14","publication":"Letters in Mathematical Physics","pmid":1,"related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"quality_controlled":"1","date_published":"2025-01-30T00:00:00Z","arxiv":1,"title":"Loschmidt echo for deformed Wigner matrices","article_processing_charge":"Yes (via OA deal)","article_type":"original","publisher":"Springer Nature","date_created":"2025-02-05T06:48:29Z","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"acknowledgement":"We thank Giorgio Cipolloni for helpful discussions in a closely related joint project. Open access funding provided by Institute of Science and Technology (IST Austria). All authors were supported by the ERC Advanced Grant “RMTBeyond” No. 101020331.","author":[{"last_name":"Erdös","full_name":"Erdös, László","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha"},{"last_name":"Kolupaiev","full_name":"Kolupaiev, Oleksii","first_name":"Oleksii","id":"149b70d4-896a-11ed-bdf8-8c63fd44ca61"}],"year":"2025","doi":"10.1007/s11005-025-01904-5","publication_status":"published","has_accepted_license":"1","date_updated":"2025-05-19T14:10:03Z","status":"public","oa":1,"oa_version":"Published Version","day":"30","corr_author":"1","publication_identifier":{"issn":["1573-0530"]},"external_id":{"isi":["001409618800002"],"arxiv":["2410.08108"],"pmid":["39896265"]}}