Statistical Properties of Interacting Bose Gases in Quasi-2D Harmonic Traps

Abstract

The analytical probability distribution of the quasi-2D (and purely 2D) ideal and interacting Bose gas are investigated by using a canonical ensemble approach. Using the analytical probability distribution of the condensate, the statistical properties such as the mean occupation number and particle number fluctuations of the condensate are calculated. Researches show that there is a continuous crossover of the statistical properties from a quasi-2D to a purely 2D ideal or interacting gases. Different from the case of a 3D Bose gas, the interaction between atoms changes in a deep way the nature of the particle number fluctuations.

RevTex, 10pages, 4 figures, E-mail: [email protected]

References in corpus (6)

• Realization of Bose-Einstein condensates in lower dimensions
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Bose-Einstein Condensation of Metastable Helium
• Canonical Statistics of Trapped Ideal and Interacting Bose Gases
• Fluctuations of the Condensate in Ideal and Interacting Bose Gases
• Critical Temperature and Condensate Fraction of the Trapped Interacting Bose Gas with Finite-size Effects

Cited by in corpus (8)

• Number Fluctuation in an interacting trapped gas in one and two dimensions
• Anomalous fluctuations of two-dimensional Bose-Einstein condensates
• Phase diffusion of Bose-Einstein Condensation close to zero temperature
• Exact ground state number fluctuations of trapped ideal and interacting fermions
• Phase diffusion of Bose-Einstein condensates in a one-dimensional optical lattice
• Number Fluctuation and the Fundamental Theorem of Arithmetic
• Anomalous particle-number fluctuations in a three-dimensional interacting Bose-Einstein condensate
• On the fluctuations of the number of atoms in the condensate