Phys. Rev. Lett. 102, 025302 (2009) [4 pages]

Threshold for Chaos and Thermalization in the One-Dimensional Mean-Field Bose-Hubbard Model

Abstract

References

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Amy C. Cassidy^1,2, Douglas Mason³, Vanja Dunjko², and Maxim Olshanii²
¹Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA
²Department of Physics, University of Massachusetts Boston, Boston, Massachusetts 02125, USA
³Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Received 22 May 2008; revised 8 November 2008; published 16 January 2009

We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which, in particular, describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic limit, and show that it is indeed a precursor of thermalization. Far above the threshold, the state of the system after relaxation is governed by the usual laws of statistical mechanics.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.102.025302

DOI:

10.1103/PhysRevLett.102.025302

PACS:

67.85.−d, 03.75.Lm, 05.45.Jn

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Phys. Rev. Lett. 102, 025302 (2009) [4 pages]

Threshold for Chaos and Thermalization in the One-Dimensional Mean-Field Bose-Hubbard Model