Breakdown of thermalization in finite one-dimensional systems

Details Breakdown of thermalization in finite one-dimensional systems Breakdown of thermalization in finite one-dimensional systems

2009-04-23

arxiv.org/abs/0904.3746v2

Phys. Rev. Lett. 103, 100403 (2009)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 13 figures, as published

Scientific paper

10.1103/PhysRevLett.103.100403

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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