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arXiv quant-ph/0412153quant-phcond-mat.othercond-mat.soft
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光晶格中二组分玻色-爱因斯坦凝聚体的调制不稳定性

Modulational instability of two-component Bose-Einstein condensates in an optical lattice

Guang-Ri Jin, Chul Koo Kim, Kyun Nahm

摘要:

研究了光晶格中两组分玻色-爱因斯坦凝聚体的调制不稳定性,模型为耦合离散非线性薛定谔方程。解析地给出了整个系统的激发谱和调制不稳定性条件。在长波长范围内,我们的结果与均匀二组分玻色-爱因斯坦凝聚体的情况一致。离散效应导致了混溶区凝聚体调制不稳定性的出现。数值计算证实了我们的分析结果,并表明种间耦合可以将不稳定性从一个组分转移到另一个组分。

英文摘要:

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr ödinger equation. The excitation spectrum and the modulational instability condition of the total system are presented analytically. In the long-wavelength limit, our results agree with the homogeneous two-component Bose-Einstein condensates case. The discreteness effects result in the appearance of the modulational instability for the condensates in miscible region. The numerical calculations confirm our analytical results and show that the interspecies coupling can transfer the instability from one component to another.

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