From Random Matrix Theory to Statistical Mechanics - Anyon Gas

Abstract

Motivated by numerical experiments and studies of quantum systems which are classically chaotic, we take a Random Matrix description of a Hard-sphere gas to Statistical Mechanical description. We apply this to Anyon gas and obtain a formal expression for the momentum distribution. Various limiting situations are discussed and are found in agreement with the well-known results on Hard-sphere gas in low-density regime.

11 pages, Revtex, to appear in Physics Letters B

References in corpus (4)

• Chaos and Quantum Thermalization
• The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
• The Third Virial Coefficient of Free Anyons
• The third virial coefficient of anyons revisited

Cited by in corpus (13)

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• Random free fermions: An analytical example of eigenstate thermalization
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• Strongly interacting mesoscopic systems of anyons in one dimension
• Quantum chaos, random matrix theory, and statistical mechanics in two dimensions - a unified approach
• Pseudo-Hermitian random matrix theory
• Random cyclic matrices
• Dissipation in finite Fermi systems
• Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
• Action scales for quantum decoherence and their relation to structures in phase space
• A Diffusion Equation for Quantum Adiabatic Systems
• Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model