Condensate fluctuations in finite Bose-Einstein condensates at finite temperature

2000/05/07 by Robert Graham · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.soft

paper · pdf · doi:10.1103/physreva.62.023609

29 pages, Revtex, to appear in Phys.Rev.A

arxiv created 2000/05/07 · openalex publication_date 2000/07/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A Langevin equation for the complex amplitude of a single-mode Bose-Einstein condensate is derived. The equation is first formulated phenomenologically, defining three transport parameters. It is then also derived microscopically. Expressions for the transport parameters in the form of Green-Kubo formulas are thereby derived and evaluated for simple trap geometries, a cubic box with cyclic boundary conditions, and an isotropic parabolic trap. The number fluctuations in the condensate, their correlation time \ensuremathτ_c, and the temperature-dependent collapse time of the order parameter as well as its phase-diffusion coefficient are calculated.

Citations

• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Excited states of a dilute Bose-Einstein condensate in a harmonic trap
• Structure of a quantized vortex in boson systems

Cited by

• Fluctuations of the condensate in ideal and interacting Bose gases