Generalized Thermalization in an Integrable Lattice System
Abstract
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.
Cite
@article{arxiv.1008.4794,
title = {Generalized Thermalization in an Integrable Lattice System},
author = {Amy C. Cassidy and Charles W. Clark and Marcos Rigol},
journal= {arXiv preprint arXiv:1008.4794},
year = {2011}
}
Comments
8 pages, 9 figures, as published