Loschmidt echo for deformed Wigner matrices Erdös, László ; https://orcid.org/0000-0001-5366-9603 Henheik, Sven Joscha ; https://orcid.org/0000-0003-1106-327X Kolupaiev, Oleksii ; https://orcid.org/0000-0003-1491-4623 ddc:510 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. Springer Nature 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/19001 https://research-explorer.ista.ac.at/download/19001/19004 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s11005-025-01904-5 info:eu-repo/semantics/altIdentifier/issn/1573-0530 info:eu-repo/semantics/altIdentifier/wos/001409618800002 info:eu-repo/semantics/altIdentifier/arxiv/2410.08108 info:eu-repo/semantics/altIdentifier/pmid/39896265 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess