11 papers · 1 filter
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…
On a Rosenzweig-Porter-type model
Giorgio Cipolloni, László Erdős, Joscha Henheik
We consider a very general Rosenzweig-Porter-type model, , where is an arbitrary Hermitian matrix and is a standard Wigner matrix. We precisely trace the locali…
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 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…
Multi-band superconductors have enhanced critical temperatures
Joscha Henheik, Edwin Langmann, Asbjørn Bækgaard Lauritsen
We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, ir…
Response theory for locally gapped systems
Joscha Henheik, Tom Wessel
We introduce a notion of a \emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbatio…