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arXiv 1209.3148cond-mat.quant-gasquant-ph
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玻色-爱因斯坦凝聚体的参数共振

Parametric Resonance in Bose-Einstein Condensates

William Cairncross, Axel Pelster

摘要:

通过周期性调制s波散射长度,在谐波势阱中研究了具有吸引两体相互作用的玻色-爱因斯坦凝聚体(BEC)的参数共振.利用高斯变分方法对Gross-Pitaevskii凝聚体的波函数进行分析,得到了凝聚体宽度的非线性运动方程。我们进行线性和非线性的稳定性分析的运动方程,并找到定性的协议,从而得出结论,BEC的两个平衡宽度的稳定性可能被参数激励反转。

英文摘要:

We demonstrate parametric resonance in Bose-Einstein condensates (BECs) with attractive two-body interaction in a harmonic trap under parametric excitation by periodic modulation of the s-wave scattering length. We obtain nonlinear equations of motion for the widths of the condensate using a Gaussian variational ansatz for the Gross-Pitaevskii condensate wave function. We conduct both linear and nonlinear stability analyses for the equations of motion and find qualitative agreement, thus concluding that the stability of two equilibrium widths of a BEC might be inverted by parametric excitation.

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