Phase transitions of a Bose gas in an optical lattice

Details Phase transitions of a Bose gas in an optical lattice Phase transitions of a Bose gas in an optical lattice

2003-03-27

arxiv.org/abs/cond-mat/0303593v1

Laser Physics 13, 587-593 (2003)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures, talk given at LPHYS '02

Scientific paper

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott insulator) and a symmetry-broken phase (Bose-Einstein condensate). An exact solution was found by introducing $N$ colors and taking the limit $N\to\infty$.

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