Dynamics and thermalization in correlated one-dimensional lattice systems

Details Dynamics and thermalization in correlated one-dimensional lattice systems Dynamics and thermalization in correlated one-dimensional lattice systems

2010-08-11

arxiv.org/abs/1008.1930v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 4 figures, to appear in the book "Non-Equilibrium and Finite Temperature Quantum Gases", edited by M. Davis, S. Gard

Scientific paper

We review exact approaches and recent results related to the relaxation dynamics and description after relaxation of various one-dimensional lattice systems of hard-core bosons after a sudden quench. We first analyze the integrable case, where the combination of analytical insights and computational techniques enable one to study large systems sizes. Thermalization does not occur in that regime. However, after relaxation, observables can be described by a generalization of the Gibbs ensemble. We then utilize full exact diagonalization to study what happens as integrability is broken. We show that thermalization does occur in finite nonintegrable systems provided they are sufficiently far away from the integrable point. We argue that the onset of thermalization can be understood in terms of the Eigenstate Thermalization Hypothesis.

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