105 citations · 119 across the 22 of their papers we have counts for
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Anomalous rate of eigenstate thermalisation at singularities of the density of states
László Erdős, 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…
Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model
László Erdős, 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…
Loschmidt Echo for Deformed Wigner Matrices
László Erdős, 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 ψ_0, \mat…
Prethermalization for Deformed Wigner Matrices
László Erdős, Joscha Henheik, Jana Reker +1
We prove that a class of weakly perturbed Hamiltonians of the form , with being a Wigner matrix, exhibits prethermalization. That is, the time evolution generate…
Phase Transition in the Density of States of Quantum Spin Glasses
László Erdős, Dominik Schröder
We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared wi…