From the 1 of 14 linked papers with an AI index.
14 papers
On a Rosenzweig-Porter-type model
Giorgio Cipolloni, László ErdÅs, Joscha Henheik
The paper analyzes a general Rosenzweig‑Porter random matrix model, studying how eigenvector localization and the eigenstate thermalisation hypothesis evolve as the coupling streng…
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…
Eigenvector decorrelation for random matrices
Giorgio Cipolloni, László ErdÅs, Joscha Henheik +1
We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two defo…
Uniform-in-temperature locality estimates for weakly interacting quantum systems
Arka Adhikari, Joscha Henheik, Marius Lemm +1
The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by th…
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…
Spectral rigidity of two-dimensional Liouville tori
Joscha Henheik, Vadim Kaloshin, Yunzhe Li +1
It is a folklore conjecture that Liouville metrics are the only Riemannian metrics with integrable geodesic flow on the two-dimensional torus. In this paper, we study Laplace-isosp…