Two-component Bose gas in an optical lattice at single-particle filling

Details Two-component Bose gas in an optical lattice at single-particle filling Two-component Bose gas in an optical lattice at single-particle filling

2003-08-12

arxiv.org/abs/cond-mat/0308235v1

Phys. Rev. A 68, 053602 (2003)

Physics

Condensed Matter

Statistical Mechanics

11 pages

Scientific paper

10.1103/PhysRevA.68.053602

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.

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