Exclusion statistics in a two-dimensional trapped Bose gas

2001/08/21 by S. Viefers, S Viefers, T. H. Hansson +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Random Matrices and Applications #Spectral Theory in Mathematical Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-4075/34/23/306

10 pages, RevTeX. Proceedings of the Salerno workshop "Theory of Quantum Gases and Quantum Coherence", to appear in a special issue of J.Phys. B, Dec. 2001

arxiv created 2001/08/21 · openalex publication_date 2001/11/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• On the theory of identical particles
• The effect of interactions on Bose-Einstein condensation in a quasi two-dimensional harmonic trap
• Thermodynamics for fractional exclusion statistics