1 Exclusion Statistics in a two - dimensional trapped Bose gas
نویسنده
چکیده
We briefly explain the notion of exclusion statistics and in particular discuss the concept of an ideal exclusion statistics gas. We then review a 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. PACS numbers: 05.30.Pr, 05.30.Jp, 03.75.Fi Typeset using REVTEX
منابع مشابه
Dynamical role of anyonic excitation statistics in rapidly rotating bose gases.
We show that for rotating harmonically trapped Bose gases in a fractional quantum Hall state, the anyonic excitation statistics in the rotating gas can effectively play a dynamical role. For particular values of the two-dimensional coupling constant g=-2pih2(2k-1)/m, where k is a positive integer, the system becomes a noninteracting gas of anyons, with exactly obtainable solutions satisfying Bo...
متن کاملFluctuation in an interacting trapped gas in one and two dimensions
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 ThomasFermi (TF) model...
متن کاملFractional statistics and finite bosonic system: A one-dimensional case
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for...
متن کاملar X iv : c on d - m at / 0 70 32 00 v 1 8 M ar 2 00 7 Critical Point of an Interacting Two - Dimensional Atomic Bose Gas
We have measured the critical atom number in a harmonically trapped two-dimensional (2D) Bose gas of rubidium atoms at different temperatures. We found this number to be about five times higher than predicted by the semi-classical theory of Bose-Einstein condensation (BEC) in the ideal gas. This demonstrates that the conventional BEC picture is inapplicable in an interacting 2D atomic gas, in s...
متن کاملHartree-Fock treatment of the two-component Bose-Einstein condensate
We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in two and three dimensions. We find a symmetry breaking in the two dimensional case where the two condensates separate. We also present a phase diagram in the...
متن کامل