中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1866-1876.doi: 10.1088/1009-1963/13/11/018

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Second harmonic generation of propagating collective excitations in Bose－Einstein condensates

黄国翔   

  1. Department of Physics and Institute of Theoretical Physics, East China Normal University, Shanghai 200062, China
  • 收稿日期:2004-04-29 修回日期:2004-05-24 出版日期:2005-06-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10274021) and in part by Chinese National Key Basic Research Special Fund.

Second harmonic generation of propagating collective excitations in Bose－Einstein condensates

Huang Guo-Xiang (黄国翔)   

  1. Department of Physics and Institute of Theoretical Physics, East China Normal University, Shanghai 200062, China
  • Received:2004-04-29 Revised:2004-05-24 Online:2005-06-20 Published:2005-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10274021) and in part by Chinese National Key Basic Research Special Fund.

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摘要： We consider a possible second harmonic generation (SHG) of propagating collective excitations in a two-component Bose－Einstein condensate (BEC) with repulsive atom－atom interactions. We show that the phase-matching condition for the SHG can be fulfilled if the wave vectors and frequencies of the excitations are chosen adequately from different dispersion branches. We solve the nonlinear amplitude equations for the SHG derived using a method of multiple-scales and provide SHG solutions similar to those obtained for a SHG in nonlinear optical media. A possible experimental realization of the SHG for the propagating collective modes in a cigar-shaped two-component BEC is also discussed.

Abstract: We consider a possible second harmonic generation (SHG) of propagating collective excitations in a two-component Bose－Einstein condensate (BEC) with repulsive atom－atom interactions. We show that the phase-matching condition for the SHG can be fulfilled if the wave vectors and frequencies of the excitations are chosen adequately from different dispersion branches. We solve the nonlinear amplitude equations for the SHG derived using a method of multiple-scales and provide SHG solutions similar to those obtained for a SHG in nonlinear optical media. A possible experimental realization of the SHG for the propagating collective modes in a cigar-shaped two-component BEC is also discussed.

Key words: second harmonic generation, collective excitations, Bose－Einstein condensation

中图分类号:  (Quantum optics)

  • 42.50.-p
42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)