Quantum Ergodicity on Regular Graphs
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DOI: 10.1007/s00220-017-2879-9
Abstract: We give three different proofs of the main result of Anantharaman and Le Masson (Duke Math J 164(4):723–765, 2015), establishing quantum ergodicity—a form of delocalization—for eigenfunctions of the laplacian on large regular graphs of fixed… read more here.
Keywords: graphs; large regular; quantum ergodicity; physics ... See more keywords
New Variants of Arithmetic Quantum Ergodicity
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DOI: 10.1007/s00220-024-05203-3
Abstract: We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual GL2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{GL}_2$$\end{document} Hecke–Maaß newforms over Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}… read more here.
Keywords: variants arithmetic; quantum ergodicity; new variants; arithmetic quantum ... See more keywords
Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
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DOI: 10.1103/physrevx.14.041059
Abstract: Despite its long history, a canonical formulation of quantum ergodicity that applies to general classes of quantum dynamics, including driven systems, has not been fully established. Here we introduce and study a notion of quantum… read more here.
Keywords: hilbert space; quantum ergodicity; space ergodicity; ergodicity ... See more keywords