5 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
Cusp Universality for Correlated Random Matrices
László Erdős, Joscha Henheik, Volodymyr Riabov
For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states…
Eigenstate Thermalization Hypothesis for Wigner-type Matrices
Volodymyr Riabov, László Erdős
We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observa…
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…
Linear Eigenvalue Statistics at the Cusp
Volodymyr Riabov
We establish universal Gaussian fluctuations for the mesoscopic linear eigenvalue statistics in the vicinity of the cusp-like singularities of the limiting spectral density for Wig…
Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems
Shoki Sugimoto, Joscha Henheik, Volodymyr Riabov +1
We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with mean field interaction. This mathemati…
Mesoscopic eigenvalue statistics for Wigner-type matrices
Volodymyr Riabov
We prove a universal mesoscopic central limit theorem for linear eigenvalue statistics of a Wigner-type matrix inside the bulk of the spectrum with compactly supported twice contin…