Condensation of a Hard-Core Bose Gas

Details Condensation of a Hard-Core Bose Gas Condensation of a Hard-Core Bose Gas

2000-01-07

arxiv.org/abs/cond-mat/0001074v1

Phys. Rev. A 62, 23611 (2000)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.62.023611

A grand canonical system of hard-core bosons, subject to thermal fluctuations, is studied on a lattice. Starting from the slave-boson representation with fields for occupied and unoccupied sites, an effective field theory is derived in which a complex field corresponds with the order parameter of the condensate and a real field with the total density of bosons. Near the boundary between the normal and the superfluid phase we obtain the Ginzburg-Landau functional for the superfluid order parameter. A mean-field calculation shows that the critical temperature $T_c$ increases with increasing density up to a maximum and decreases with further increasing density.

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