Loschmidt echo for deformed Wigner matrices - Erdös, László; Henheik, Sven Joscha; Kolupaiev, Oleksii; Random matrices beyond Wigner-Dyson-Mehta (Letters in Mathematical Physics, 2025)
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.
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Rights: https://creativecommons.org/licenses/by/4.0/
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