Condensation of a Hard-Core Bose Gas

Abstract

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.

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

References in corpus (1)

• The transition temperature of the dilute interacting Bose gas

Cited by in corpus (5)

• Interacting bosons in an optical lattice
• Slave particle approach to the finite temperature properties of ultracold Bose gases in optical lattices
• A renormalized Gross-Pitaevskii Theory and vortices in a strongly interacting Bose gas
• Formation of vortices in a dense Bose-Einstein condensate
• Superfluid transition temperature from the Lindemann-like criterion