Generalized Thermalization in an Integrable Lattice System

Details Generalized Thermalization in an Integrable Lattice System Generalized Thermalization in an Integrable Lattice System

2010-08-27

arxiv.org/abs/1008.4794v4

Phys. Rev. Lett. 106, 140405 (2011)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 9 figures, as published

Scientific paper

10.1103/PhysRevLett.106.140405

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.

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