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arXiv quant-ph/9809049quant-ph
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囚禁原子运动的高阶非线性

High-order nonlinearities in the motion of a trapped atom

S. Wallentowitz, W. Vogel, P. L. Knight

摘要:

研究了囚禁原子量子化运动中的多光子下转换。对于k>=3的k量子下转换,Lamb-Dicke近似导致有限相互作用时间内平均运动激发的发散,类似于非线性光学的参数近似中的情况。与Lamb-Dicke近似相比,我们发现,正确处理原子质心波函数和驱动激光波的重叠可以得到一个没有发散问题的动力学。也就是说,物质和光的波动性质是一个重要的物理性质,它不能被忽略,用于描述一个被困原子的运动动力学,即使是小的Lamb-Dicke参数。

英文摘要:

We study the counterpart to the multi-photon down conversion in the quantised motion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of the mean motional excitation in a finite interaction time for k-quantum down conversions with k>=3, analogous to the situation in the parametric approximation of nonlinear optics. We show that, in contrast to the Lamb-Dicke approximation, the correct treatment of the overlap of the atomic center-of-mass wave function and the driving laser waves leads to a proper dynamics without any divergence problem. That is, the wavy nature of both matter and light is an important physical property which cannot be neglected for describing the motional dynamics of a trapped atom, even for small Lamb-Dicke parameters.

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