344 citations · 2.8k across the 83 of their papers we have counts for
98 papers
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…
Gaussian fluctuations in the Equipartition Principle for Wigner matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik +1
The total energy of an eigenstate in a composite quantum system tends to be distributed equally among its constituents. We identify the quantum fluctuation around this equipartitio…
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
Laszlo Erdos, Benjamin McKenna
We consider quadratic forms of deterministic matrices evaluated at the random eigenvectors of a large GOE or GUE matrix, or equivalently evaluated at the columns o…
Directional Extremal Statistics for Ginibre Eigenvalues
Giorgio Cipolloni, László Erdős, Dominik Schröder +1
We consider the eigenvalues of a large dimensional real or complex Ginibre matrix in the region of the complex plane where their real parts reach their maximum value. This maximum…
Rank-uniform local law for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We prove a general local law for Wigner matrices which optimally handles observables of arbitrary rank and thus it unifies the well-known averaged and isotropic local laws. As an a…
On the Spectral Form Factor for Random Matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disord…