Generalized thermalization in an integrable lattice system

After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE) [M. Rigol et al., Phys. Rev. Lett. 98, 050405 (2007)]. The GGE has been shown to accurately describe observables in various on...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2011-04, Vol.106 (14), p.140405, Article 140405
Main Authors: Cassidy, Amy C, Clark, Charles W, Rigol, Marcos
Format: Article
Language:English
Subjects:
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EIGENSTATES
HYPOTHESIS
INTEGRAL CALCULUS
MATHEMATICS
ONE-DIMENSIONAL CALCULATIONS
RELAXATION
SLOWING-DOWN
THERMALIZATION
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE) [M. Rigol et al., Phys. Rev. Lett. 98, 050405 (2007)]. The GGE has been shown to accurately describe observables in various one-dimensional integrable systems, but the origin of its success is not fully understood. Here we introduce a microcanonical version of the GGE and provide a justification of the GGE based on a generalized interpretation of the eigenstate thermalization hypothesis, which was previously introduced to explain thermalization of nonintegrable systems. We study relaxation after a quench of one-dimensional hard-core bosons in an optical lattice. Exact numerical calculations for up to 10 particles on 50 lattice sites (≈10(10) eigenstates) validate our approach.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.106.140405