RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

Generalized Thermalization in an Integrable Lattice System

TitleGeneralized Thermalization in an Integrable Lattice System
Publication TypeJournal Article
Year of Publication2011
AuthorsA. Cassidy, C. W. Clark, and M. Rigol
JournalPhys. Rev. Lett.
Volume106
Pagination140405
Date Publishedapr
ISSN0031-9007
Keywords2011, 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.

URLhttp://arxiv.org/abs/1008.4794 http://prl.aps.org/abstract/PRL/v106/i14/e140405

Subscribe to A Quantum Bit 

Quantum physics began with revolutionary discoveries in the early twentieth century and continues to be central in today’s physics research. Learn about quantum physics, bit by bit. From definitions to the latest research, this is your portal. Subscribe to receive regular emails from the quantum world. Previous Issues...

Sign Up Now

Sign up to receive A Quantum Bit in your email!

 Have an idea for A Quantum Bit? Submit your suggestions to jqi-comm@umd.edu