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Breakdown of thermalization in finite one-dimensional systems

2009/04/30 by Marcos Rigol · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.quant-gas

paper · pdf · doi:10.1103/physrevlett.103.100403

published as Phys. Rev. Lett. 103, 100403 (2009) · 9 pages, 13 figures, as published

arxiv created 2009/09/02 · arxiv updated 2009/12/01

Abstract

We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then study the breakdown of thermalization as one approaches an integrable point. This is found to be a smooth process in which the predictions of standard statistical mechanics continuously worsen as the system moves toward integrability. We establish a direct connection between the presence or absence of thermalization and the validity or failure of the eigenstate thermalization hypothesis, respectively.

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