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.
Received: 29 April 2004
Revised: 24 May 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10274021) and in part by Chinese National Key Basic Research Special Fund.
Cite this article:
Huang Guo-Xiang (黄国翔) Second harmonic generation of propagating collective excitations in Bose－Einstein condensates 2004 Chinese Physics 13 1866
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