Eigenstate thermalization hypothesis for Wigner matrices
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Publication:2244923
DOI10.1007/s00220-021-04239-zzbMath1491.60011arXiv2012.13215OpenAlexW3210245353MaRDI QIDQ2244923
László Erdős, Giorgio Cipolloni, Dominik Schröder
Publication date: 12 November 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13215
random matrix theoryeigenstate thermalization hypothesismulti-resolvent local lawsrandom Wigner matrix
Random matrices (probabilistic aspects) (60B20) General mathematical topics and methods in quantum theory (81Q99) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
Related Items (13)
Rank-uniform local law for Wigner matrices ⋮ Normal fluctuation in quantum ergodicity for Wigner matrices ⋮ Gaussian fluctuations in the equipartition principle for Wigner matrices ⋮ Functional central limit theorems for Wigner matrices ⋮ Dynamical localization for random band matrices up to \(W \ll N^{1/4}\) ⋮ Extremal statistics of quadratic forms of GOE/GUE eigenvectors ⋮ Eigenvectors of the square grid plus GUE ⋮ Eigenstate thermalisation hypothesis for translation invariant spin systems ⋮ Quantitative CLT for linear eigenvalue statistics of Wigner matrices ⋮ Mesoscopic central limit theorem for non-Hermitian random matrices ⋮ Thermalisation for Wigner matrices ⋮ Optimal multi-resolvent local laws for Wigner matrices ⋮ Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
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