Bose-Einstein condensation shown by Monte Carlo simulation

A Monte Carlo algorithm was constructed for calculating statistical physics quantities characterizing an ideal bosonic lattice gas. To demonstrate the possibilities of the algorithm the Bose-Einstein condensation was simulate d within a three-dimensional isotropic harmonic oscillator where, in the fr ame of a canonical ensemble, average occupancy of the ground state and spec ific heat was calculated versus temperature and number of bosons. The algor ithm can be further applied for studying both the static properties of idea l bosons within other trapping potentials and the relaxation of the system to the condensate. (C) 1999 Elsevier Science B.V. All rights reserved.