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

Bogdan Damski; Fernando M. Cucchietti; Jacek Dziarmaga; Wojciech H. Zurek

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

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arxiv cond-mat/0601650 v4 pith:FJ4QGEXN submitted 2006-01-29 cond-mat.other hep-thquant-ph

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

Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek This is my paper

classification cond-mat.other hep-thquant-ph

keywords bose-hubbardcorrelationsdynamicsinsulatormodelmottphasesuperfluid

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We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up 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.

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

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