[{"type":"journal_article","scopus_import":"1","article_type":"original","volume":115,"arxiv":1,"date_created":"2025-02-05T06:48:29Z","doi":"10.1007/s11005-025-01904-5","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["1573-0530"]},"pmid":1,"language":[{"iso":"eng"}],"month":"01","title":"Loschmidt echo for deformed Wigner matrices","ec_funded":1,"oa":1,"oa_version":"Published Version","has_accepted_license":"1","related_material":{"record":[{"id":"19540","status":"public","relation":"dissertation_contains"}]},"citation":{"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>","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.","ista":"Erdös L, Henheik SJ, Kolupaiev O. 2025. Loschmidt echo for deformed Wigner matrices. Letters in Mathematical Physics. 115, 14.","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>.","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>.","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>","short":"L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025)."},"isi":1,"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331"}],"quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","publication_status":"published","ddc":["510"],"status":"public","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["001409618800002"],"pmid":["39896265"],"arxiv":["2410.08108"]},"date_updated":"2026-07-29T13:18:16Z","date_published":"2025-01-30T00:00:00Z","day":"30","intvolume":"       115","publication":"Letters in Mathematical Physics","department":[{"_id":"LaEr"}],"file":[{"success":1,"relation":"main_file","file_name":"2025_LettersMathPhysics_Erdoes.pdf","date_created":"2025-02-05T07:01:40Z","creator":"dernst","checksum":"ee07edf5f85a6f2651926b2f8760af74","file_id":"19004","content_type":"application/pdf","access_level":"open_access","date_updated":"2025-02-05T07:01:40Z","file_size":828335}],"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.","OA_place":"publisher","corr_author":"1","_id":"19001","article_number":"14","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."}],"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László"},{"first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","last_name":"Henheik"},{"last_name":"Kolupaiev","orcid":"0000-0003-1491-4623","id":"149b70d4-896a-11ed-bdf8-8c63fd44ca61","full_name":"Kolupaiev, Oleksii","first_name":"Oleksii"}],"publisher":"Springer Nature","OA_type":"hybrid","file_date_updated":"2025-02-05T07:01:40Z","year":"2025"}]