Breakdown of Thermalization in Finite One-Dimensional Systems

Marcos Rigol
Phys. Rev. Lett. 103, 100403 – Published 2 September 2009
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Abstract

We use quantum quenches to study the dynamics and thermalization of hard core 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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  • Received 17 April 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.100403

©2009 American Physical Society

Authors & Affiliations

Marcos Rigol

  • Department of Physics, Georgetown University, Washington, D.C. 20057, USA

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Vol. 103, Iss. 10 — 4 September 2009

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