Variational self-consistent theory for trapped Bose gases at finite temperature
arXiv:1102.3630 · doi:10.1140/epjd/e2010-00177-5
Abstract
We apply the time-dependent variational principle of Balian-Vénéroni to a system of self-interacting trapped bosons at finite temperature. The method leads to a set of coupled non-linear time dependent equations for the condensate density, the thermal cloud and the anomalous density. We solve numerically these equations in the static case for a harmonic trap. We analyze the various densities as functions of the radial distance and the temperature. We find an overall good qualitative agreement with recent experiments as well as with the results of many theoretical groups. We also discuss the behavior of the anomalous density at low temperatures owing to its importance to account for many-body effects.
8 pages, 8 figures
References in corpus (18)
- Theory of Bose-Einstein condensation in trapped gases
- Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
- Dynamics of Bose condensed gases in highly deformed traps
- The critical temperature of a trapped, weakly interacting Bose gas
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
- A Gapless Theory of Bose-Einstein Condensation in Dilute Gases at Finite Temperature
- Quantum Kinetic Theory V: Quantum kinetic master equation for mutual interaction of condensate and noncondensate
- Initial Stages of Bose-Einstein Condensation
- Representative statistical ensembles for Bose systems with broken gauge symmetry
- Rigorous approach to the problem of ultraviolet divergencies in dilute Bose gases
- Fluctuations of composite observables and stability of statistical systems
- Self-Consistent Theory of Bose-Condensed Systems
- Variational approach for the two-dimensional trapped Bose Einstein condensate
- Nonequilibrium Bose systems and nonground-state Bose-Einstein condensates
- Generalized coherent state representation of Bose-Einstein condensates
- Theory of Bose-Einstein condensation for trapped atoms
- BEC From a Time-Dependent Variational Point of View
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