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math-ph2026
Anomalous rate of eigenstate thermalisation at singularities of the density of states
László ErdÅs, Joscha Henheik, Volodymyr Riabov
We prove the Eigenstate Thermalisation Hypothesis (ETH), also known as Quantum Unique Ergodicity (QUE), for large mean-field random matrices with general correlation st…
math-ph2025
Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model
László ErdÅs, Joscha Henheik, Cornelia Vogel
We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve in…
math-ph2024
Loschmidt Echo for Deformed Wigner Matrices
László ErdÅs, Joscha Henheik, Oleksii Kolupaiev
We consider two Hamiltonians that are close to each other, , and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle Ï_0, \ma…