Generalized thermalization in an integrable lattice system

Amy C. Cassidy, Charles W. Clark, Marcos Rigol

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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). 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 (∼1010 eigenstates) validate our approach.

Original languageEnglish (US)
Article number140405
JournalPhysical Review Letters
Volume106
Issue number14
DOIs
StatePublished - Apr 8 2011

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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