Dynamics of the Bose-Hubbard model: transition from Mott insulator to superfluid
Other Condensed Matter
2009-11-11 v4 High Energy Physics - Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0601650,
title = {Dynamics of the Bose-Hubbard model: transition from Mott insulator to superfluid},
author = {Fernando M. Cucchietti and Bogdan Damski and Jacek Dziarmaga and Wojciech H. Zurek},
journal= {arXiv preprint arXiv:cond-mat/0601650},
year = {2009}
}
Comments
7+ pages, the Bogolubov section is completely rewritten