Projected Gross-Pitaevskii equation theory of finite-temperature collective modes for a trapped Bose gas

2008/11/17 by A. Bezett, P. B. Blakie · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other

paper · pdf · doi:10.1103/physreva.79.023602

published as Phys. Rev. A 79, 023602 (2009) · 15 pages, 16 figures

arxiv created 2008/11/17 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We develop a formalism based on the projected Gross-Pitaevskii equation to simulate the finite-temperature collective mode experiments of Jin et al. [Phys. Rev. Lett. 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.

Citations

• Dynamics of Trapped Bose Gases at Finite Temperatures
• Shifts and widths of collective excitations in trapped Bose gases determined by the dielectric formalism
• Dynamics of thermal Bose fields in the classical limit
• Two-point correlations of a trapped interacting Bose gas at finite temperature
• Numerical method for evolving the projected Gross-Pitaevskii equation
• Linear density response in the random-phase approximation for confined Bose vapours at finite temperature
• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation

Cited by

• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
• Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap

Related

• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
• Temperature dependent shifts in collective excitations of a gaseous Bose-Einstein condensate
• Theory of excitations of the condensate and non-condensate at finite temperatures
• Finite-temperature excitations of a trapped Bose-Fermi mixture
• Dynamical Simulations of Trapped Bose Gases at Finite Temperatures