Title | Generalized Thermalization in an Integrable Lattice System |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | A. Cassidy, C. W. Clark, and M. Rigol |
Journal | Phys. Rev. Lett. |
Volume | 106 |
Pagination | 140405 |
Date Published | apr |
ISSN | 0031-9007 |
Keywords | 2011, Multiple JQI Affil., Single Fellow |
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. |
URL | http://arxiv.org/abs/1008.4794 http://prl.aps.org/abstract/PRL/v106/i14/e140405 |