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首页> 外文会议>NATO Advanced Research Workshop on Nonlinearity and Disorder: Theory and Applications Oct 2-6, 2001 Tashkent, Uzbekistan >DYNAMICS OF A BOSE-EINSTEIN CONDENSATE IN OPTICAL TRAP
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DYNAMICS OF A BOSE-EINSTEIN CONDENSATE IN OPTICAL TRAP

机译：玻阱中的玻色-爱因斯坦凝聚态的动力学

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摘要

Dynamics of a 2D Bose-Einstein condensate in an optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii equation with randomly varying trap potential. An analytic approach based on the moments method has been employed to describe the noise induced evolution of the condensate properties. Stochastic parametric resonance in oscillations of the condensate width is proved to exist. For the condensate with negative scattering length, it is shown that the noise can delay or even prevent the collapse. Analytical predictions are confirmed by numerical simulations of the underlying PDE and ODE models.
机译：考虑了远共振激光场强度的波动，研究了光阱中二维玻色-爱因斯坦凝聚物的动力学。问题在具有随机变化陷阱势的平均场Gross-Pitaevskii方程的框架中描述。已采用基于矩量法的分析方法来描述噪声引起的凝结水性质的演变。冷凝水宽度振荡中存在随机参数共振。对于具有负散射长度的冷凝液，表明噪声可以延迟甚至防止崩溃。通过基本PDE和ODE模型的数值模拟可以确认分析预测。

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