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 0.51Tc-0.83Tc 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.
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