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arXiv 0909.0540cond-mat.quant-gas
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冷分子形成中的两个强非线性区

Two strong nonlinearity regimes in cold molecule formation

A. M. Ishkhanyan, B. Joulakian, K. -A. Suominen

摘要:

揭示了原子玻色-爱因斯坦凝聚体中分子形成的两种不同的强非线性情形(通过光缔合或费什巴赫共振)对应于大和小的场失谐.通过检查任意的外部场配置,我们表明,在第一种情况下的关联过程几乎是非振荡的时间,而在第二种情况下,系统的演化显示强烈明显的拉比型振荡。我们构造了两种极限情况下的高精度近似解。我们表明,在强耦合限制的非交叉模型能够提供不超过三分之一的初始原子布居的转换。最后,我们表明,恒定振幅模型涉及有限的最终失谐的强相互作用限制是不是最佳的分子形成。

英文摘要:

Two distinct strongly non-linear scenarios of molecule formation in an atomic Bose-Einstein condensate (either by photoassociation or Feshbach resonance) corresponding to large and small field detuning are revealed. By examining arbitrary external field configurations, we show that the association process in the first case is almost non-oscillatory in time while in the second case the evolution of the system displays strongly pronounced Rabi-type oscillations. We construct highly accurate approximate solutions for both limit cases. We show that at strong coupling limit the non-crossing models are able to provide conversion of no more than one third of the initial atomic population. Finally, we show that for constant-amplitude models involving a finite final detuning the strong interaction limit is not optimal for molecule formation.

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