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Landau damping and frequency-shift of a quadrupole mode in a disc-shaped rubidium Bose-Einstein condensate |
| Rahmut Arzigul (阿孜古丽·热合木提), Peng Sheng-Qiang (彭胜强), Ma Xiao-Dong (马晓栋) |
| College of Physics and Electronic Engineering, Xinjiang Normal University, Urumchi 830054, China |
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Abstract The damping and frequency-shift in Landau mechanism of a quadrupole mode in a disc-shaped rubidium Bose-Einstein condensate are investigated by using the Hartree-Fock-Bogoliubov approximation. The practical relaxations of the elementary excitations and the orthometric relation among them are taken into account to obtain advisable calculation formula for damping as well as frequency-shift. The first approximation of Gaussian distribution function is employed for the ground-state wavefunction to suitably eliminate the divergence of the analytic three-mode coupling matrix elements. According to these methods, both Landau damping rate and frequency-shift of the quadrupole mode are analytically calculated. In addition, all the theoretical results agree with the experimental ones.
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Received: 27 January 2014
Revised: 04 March 2014
Accepted manuscript online:
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PACS:
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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05.30.Jp
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(Boson systems)
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67.85.De
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(Dynamic properties of condensates; excitations, and superfluid flow)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11264039), the Key Discipline of Theoretical Physics of Xinjiang, China (Grant Nos. LLWLY201202 and LLWLY201203), and the Postgraduate Scientific and Theoretical Innovation Project of Xinjiang Normal University, China (Grant No. 20131234). |
Corresponding Authors:
Ma Xiao-Dong
E-mail: xdma07@aliyun.com
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Cite this article:
Rahmut Arzigul (阿孜古丽·热合木提), Peng Sheng-Qiang (彭胜强), Ma Xiao-Dong (马晓栋) Landau damping and frequency-shift of a quadrupole mode in a disc-shaped rubidium Bose-Einstein condensate 2014 Chin. Phys. B 23 090311
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