Resonant Interactions of Collective Modes in a Quasi-One-Dimensional Attractive Bose--Einstein Condensate

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概要

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• The resonant interaction between collective modes in a quasi-one-dimensional (Q1D) attractive Bose--Einstein condensate (BEC) is considered. Nonlinearly coupled amplitude equations are derived using a method of multiple scales. Coupling matrix elements describing mode--mode resonances in both Landau and Beliaev mechanisms are calculated analytically. In particular, second-harmonic generation and three-mode resonant interaction of the collective modes in Q1D BEC are investigated in detail. The result shows that the physics of the resonant mode couplings in attractive Q1D BEC is richer than that of repulsive Q1D BEC.

• 2013-04-15

著者

• Ma Yong-Li

  Department of Physics, Fudan University, Shanghai 200433, China

• Ma Yong-Li

  Department of Materials Science, Lanzhou University

• Huang Guoxiang

  Department of Physics, East China Normal University, Shanghai 200062, China

• Li Chenxu

  College of Physics and Electronic Engineering, Xinjiang Normal University, Urumchi 830054, China

• Ma Xiaodong

  College of Physics and Electronic Engineering, Xinjiang Normal University, Urumchi 830054, China

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