中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1871-1878.doi: 10.1088/1009-1963/15/8/040

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Landau damping of collective modes in a harmonically trapped Bose--Einstein condensate

周　昱1, 黄国翔1, 马晓栋2, 马永利3   

  1. (1)Department of Physics and Institute of Theoretical Physics, East China Normal University,Shanghai 200062, China; (2)Department of Physics and Institute of Theoretical Physics, East China Normal University,Shanghai 200062, China;Department of Physics, Xinjiang Normal University, Urumchi 830054, China; (3)Department of Physics, Fudan University, Shanghai 200433, China
  • 收稿日期:2006-02-26 修回日期:2006-03-20 出版日期:2006-08-20 发布日期:2006-08-20
  • 基金资助:
    Project supported by the National Nature Science Foundation of China (Grant Nos 90403008 and 10434060), and State Key Development Program for Basic Research of China (Grant No 2005CB724508).

Landau damping of collective modes in a harmonically trapped Bose--Einstein condensate

Ma Xiao-Dong(马晓栋)a,b), Zhou Yu(周昱)a), Ma Yong-Li(马永利)c), and Huang Guo-Xiang(黄国翔)a)   

  1. a Department of Physics and Institute of Theoretical Physics, East China Normal University, Shanghai 200062, China; b Department of Physics, Xinjiang Normal University, Urumchi 830054, China; c Department of Physics, Fudan University, Shanghai 200433, China
  • Received:2006-02-26 Revised:2006-03-20 Online:2006-08-20 Published:2006-08-20
  • Supported by:
    Project supported by the National Nature Science Foundation of China (Grant Nos 90403008 and 10434060), and State Key Development Program for Basic Research of China (Grant No 2005CB724508).

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摘要： This paper proposes a method for calculating the Landau damping of a low-energy collective mode in a harmonically trapped Bose--Einstein condensate. Based on the divergence-free analytical solutions for ground-state wavefunction of the condensate and eigenvalues and eigenfunctions for thermally excited quasiparticles, obtained beyond Thomas--Fermi approximation, this paper calculates the coupling matrix elements describing the interaction between the collective mode and the quasiparticles. With these analytical results this paper evaluates the Landau damping rate of a monopole mode in a spherical trap and discusses its dependence on temperature, particle number and trapping frequency of the system.

关键词: Bose--Einstein condensation, collective modes, Landau damping

Abstract: This paper proposes a method for calculating the Landau damping of a low-energy collective mode in a harmonically trapped Bose--Einstein condensate. Based on the divergence-free analytical solutions for ground-state wavefunction of the condensate and eigenvalues and eigenfunctions for thermally excited quasiparticles, obtained beyond Thomas--Fermi approximation, this paper calculates the coupling matrix elements describing the interaction between the collective mode and the quasiparticles. With these analytical results this paper evaluates the Landau damping rate of a monopole mode in a spherical trap and discusses its dependence on temperature, particle number and trapping frequency of the system.

Key words: Bose--Einstein condensation, collective modes, Landau damping

中图分类号:  (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

  • 03.75.Kk
05.30.Jp (Boson systems)