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Abstract

The are investigated by using the time-dependent Hartree-Fock-Bogoliubov approximation. Improving the previous approach, We have taken into account the practical relaxations of elementary excitations and the orthogonal relation among them. With such an approach, we provide a new calculation formula for Landau damping rate and frequency-shift. In addition, our previous method of eliminating the divergence in three-mode coupling matrix elements is also improved by zeroing the kinetic energy at the condensate boundary instead of minimizing the ground-state energy. Based on these improvements, both the Landau damping rate and the frequency-shift of the monopole mode are analytically calculated and their temperature dependences are also discussed. And all the theoretical results are in agree meat with experimental data.

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Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 10864006, 11047101, 11264039, 11205071), the Key Research Project of Xinjiang Higher Education, China (Grant No. XJED2010141), the Key Discipline of Theoretical Physics of Xinjiang, China (Grant Nos. LLWLY201106, LLWLY201107), the Postgraduate Scientific and Technological Innovation Project of Xinjiang Normal University, China (Grant Nos. 20111202, 20121214).

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Vol. 62, Issue 13 - 2013-07-05

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