Anomalous fluctuations of two-dimensional Bose-Einstein condensates

Abstract

We investigate the particle-number fluctuations due to the collective excitations created in a two-dimensional (2D) and a quasi-2D Bose-Einstein condensates (BECs) at low temperature. We find that the fluctuations display an anomalous behavior, i. e. for the 2D BEC they are proportional to $N^2$, where $N$ is the total number of particles. For the quasi-2D BEC, the particle-number fluctuations are proportional not only to $N^2$ but also to the square root of the trapping frequency in the strongly-confined direction.

RevTex format, no figures, [email protected], to appear in Phys. Rev. A

References in corpus (6)

• Realization of Bose-Einstein condensates in lower dimensions
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Canonical Statistics of Trapped Ideal and Interacting Bose Gases
• Fluctuations of the Condensate in Ideal and Interacting Bose Gases
• Statistical Properties of Interacting Bose Gases in Quasi-2D Harmonic Traps
• Number Fluctuation in an interacting trapped gas in one and two dimensions

Cited by in corpus (5)

• Principal problems in Bose-Einstein condensation of dilute gases
• Dephasing-assisted parameter estimation in the presence of dynamical decoupling
• Anomalous particle-number fluctuations in a three-dimensional interacting Bose-Einstein condensate
• On the fluctuations of the number of atoms in the condensate
• Condensate fluctuations in the dilute Bose gas