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

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

2006-01-29

arxiv.org/abs/cond-mat/0601650v4

Phys.Rev. A75 (2007) 023603

Physics

Condensed Matter

Other Condensed Matter

7+ pages, the Bogolubov section is completely rewritten

Scientific paper

10.1103/PhysRevA.75.023603

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.

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