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arXiv:cond-mat/0108328 · Journal of Physics B Atomic Molecular and Optical Physics

Exclusion statistics in a two-dimensional trapped Bose gas

S Viefers, T. H. Hansson, J M Leinaas

Published Nov 23, 2001• 8 citations
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Abstract

We briefly explain the notion of exclusion statistics and, in particular, discuss the concept of an ideal exclusion statistics gas. We then review recent work where it is demonstrated that a two-dimensional Bose gas with repulsive delta function interactions obeys ideal exclusion statistics, with a fractional parameter related to the interaction strength.

DOI
10.1088/0953-4075/34/23/306

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We briefly explain the notion of exclusion statistics and, in particular, discuss the concept of an ideal exclusion statistics gas. We then review recent work where it is demonstrated that a two-dimensional Bose gas with repulsive delta function interactions obeys ideal exclusion statistics, with a fractional parameter related to the interaction strength.
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The quantum statistical mechanics of an ideal gas with fractional exclusion (i.e., Haldane-Wu) statistics in arbitrary dimensions is discussed. The general formulation for pressure and density of the system is obtained in a closed form in terms of the DDD-dimensional momentum representation, which can be regarded as a natural generalization of the classic results for Fermi and Bose gases. Using this, it is shown that ideal gases with fractional exclusion statistics can be regarded as composites of fermions and bosons, and that no condensation occurs at low temperature except for the pure boson case.