Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid

Fernando M. Cucchietti, Bogdan Damski, Jacek Dziarmaga, and Wojciech H. Zurek
Phys. Rev. A 75, 023603 – Published 2 February 2007

Abstract

We study the dynamics of phase transitions in the one-dimensional Bose-Hubbard model. To drive the system from a Mott insulator to a superfluid phase, we change the tunneling frequency at a finite rate. We investigate the buildup of correlations during fast and slow transitions using variational wave functions, dynamical Bogoliubov theory, Kibble-Zurek mechanism, and numerical simulations. We show that time-dependent correlations satisfy characteristic scaling relations that can be measured in optical lattices filled with cold atoms.

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  • Received 15 February 2006

DOI:https://doi.org/10.1103/PhysRevA.75.023603

©2007 American Physical Society

Authors & Affiliations

Fernando M. Cucchietti1, Bogdan Damski1, Jacek Dziarmaga2, and Wojciech H. Zurek1

  • 1Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 2Institute of Physics and Centre for Complex Systems, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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Vol. 75, Iss. 2 — February 2007

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