中国物理B ›› 2009, Vol. 18 ›› Issue (11): 4734-4737.doi: 10.1088/1674-1056/18/11/021

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Quantum backreaction of quantum fluid in Bose Einstein condensates

徐岩1, 陈兵1, 李照鑫1, 熊祖周2, 谭磊2   

  1. (1)College of Science, Shandong University of Science & Technology, Qingdao 266000, China; (2)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2009-03-12 修回日期:2009-05-10 出版日期:2009-11-20 发布日期:2009-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10704031 and 1087150), the Scientific Research Foundation for Returned Scholars, Ministry of Education of China, the Foundation of Shandong Educational Committee, China (Grant No J08LI60), and the Research Project of `SUST Spring Bud', China (Grant No 2008AZZ093).

Quantum backreaction of quantum fluid in Bose--Einstein condensates

Xu Yan(徐岩)a), Xiong Zu-Zhou(熊祖周)b)†, Chen Bing(陈兵)a), Li Zhao-Xin(李照鑫)a), and Tan Lei(谭磊)b)   

  1. a College of Science, Shandong University of Science & Technology, Qingdao 266000, China; b Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2009-03-12 Revised:2009-05-10 Online:2009-11-20 Published:2009-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10704031 and 1087150), the Scientific Research Foundation for Returned Scholars, Ministry of Education of China, the Foundation of Shandong Educational Committee, China (Grant No J08LI60), and the Research Project of `SUST Spring Bud', China (Grant No 2008AZZ093).

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摘要： In this paper, with the full field operator \hat ψ expressed in terms of a particle-number-conserving mean-field ansatz, we investigate the dynamical behaviour of Bose--Einstein condensates from microscopic physics. Including the first-order term correction from single-particle excitation and the remaining higher-order term correction from collective excitations simultaneously, we obtain the formulation for a closed local expression of quantum backreaction Q, and discuss the influence on static Bose--Einstein condensates. Even though the quantum backreaction is small, it still has some influence on its dynamics.

Abstract: In this paper, with the full field operator $\hat{\psi}$  expressed in terms of a particle-number-conserving mean-field ansatz, we investigate the dynamical behaviour of Bose--Einstein condensates from microscopic physics. Including the first-order term correction from single-particle excitation and the remaining higher-order term correction from collective excitations simultaneously, we obtain the formulation for a closed local expression of quantum backreaction Q, and discuss the influence on static Bose--Einstein condensates. Even though the quantum backreaction is small, it still has some influence on its dynamics.

Key words: Bose--Einstein condensate, quantum fluctuation, mean-field theory

中图分类号:  (Quantum ensemble theory)

  • 05.30.Ch
03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)