PGPE theory of finite temperature collective modes for a trapped Bose gas

Abstract

We develop formalism based on the projected Gross Pitaevskii equation to simulate the finite temperature collective mode experiments of Jin et al. [PRL 78, 764 (1997)]. We examine the $m=0$ and $m=2$ quadrupolar modes on the temperature range $0.51T_c-0.83T_c$ and calculate the frequencies of, and phase between, the condensate and noncondensate modes, and the condensate mode damping rate. This study is the first quantitative comparison of the projected Gross-Pitaevskii equation to experimental results in a dynamical regime.

15 pages, 16 figures

References in corpus (6)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Finite Temperature Models of Bose-Einstein Condensation
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Numerical method for evolving the Projected Gross-Pitaevskii equation
• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
• Two point correlations of a trapped interacting Bose gas at finite temperature

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• Many-body physics in the classical-field description of a degenerate Bose gas
• Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
• Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
• Effects of classical stochastic webs on the quantum dynamics of cold atomic gases in a moving optical lattice
• Nonequilibrium Thermo Field Dynamics Using 4x4-Matrix Transformation for System with Bose--Einstein Condensation