Two-component Bose gas in an optical lattice at single-particle filling
Statistical Mechanics
2009-11-10 v1
Abstract
The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a continued-fraction approach. The ground state of the effective model is studied in mean-field approximation for a modulated optical lattice. A dimerized mean-field state gives a Mott insulator whereas the lattice without modulations develops long-range correlated phase fluctuations due to a Goldstone mode. This result is discussed in comparison with the superfluid and the Mott-insulating state of a single-component hard-core Bose.
Cite
@article{arxiv.cond-mat/0308235,
title = {Two-component Bose gas in an optical lattice at single-particle filling},
author = {K. Ziegler},
journal= {arXiv preprint arXiv:cond-mat/0308235},
year = {2009}
}
Comments
11 pages