2002/03/28 by R. K. Bhaduri, M. V. N. Murthy, Muoi N. Tran
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0953-4075/35/12/316
published as J. Phys. B: At. Mol. Opt. Phys., 35, 2817 (2002) · 11 pages, 1 appendix, 3 figures. Submitted to J. Phys. B: Atomic, Molecular & Optical
arxiv created 2002/03/28 · openalex publication_date 2002/06/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
It is well known that the number fluctuation in the grand canonical ensemble, which is directly proportional to the compressibility, diverges for an ideal Bose gas as T →0. We show that this divergence is removed when the atoms interact in one dimension through an inverse square two-body interaction. In two dimensions, similar results are obtained using a self-consistent Thomas-Fermi model for a repulsive zero-range interaction. Both models may be mapped on to a system of non-interacting particles obeying the Haldane-Wu exclusion statistics. We also calculate the number fluctuation from the ground state of the gas in these interacting models, and compare the grand canonical results with those obtained from the canonical ensemble.