相位起伏准凝聚源中的原子双光束和运动态贝尔不等式的破坏
Atomic twin-beams and violation of a motional-state Bell inequality from a phase-fluctuating quasi-condensate source
摘要：
我们研究了从相位波动源产生的原子孪生光束的动力学，特别是准凝聚态的一维玻色气体，其动机是Nature Physics 7，608（2011）中报道的实验。一个短时间的分析模型的构建，这是一个修改后的版本的非耗尽泵浦近似广泛应用于量子和原子光学，除了在这里，我们考虑到泵浦源的初始相位波动，而不是假设远程相位相干。我们使用这个模型来定量和定性地预测源的相位起伏如何影响散射原子对的两粒子关联。该模型的基准对详细的数值模拟使用随机相空间方法，并验证直观的概念，即扩大的动量空间之间的关联函数从准凝聚体散射的原子是由扩大的动量宽度的源相比，一个真正的相位相干凝聚体。最后，我们结合这些理论工具和结果来研究双光束源的相位波动的效果，可以对违反贝尔不等式，本质上依赖于相位敏感对相关性的建议演示。
英文摘要：
We investigate the dynamics of atomic twin beams produced from a phase-fluctuating source, specifically a 1D Bose gas in the quasi-condensate regime, motivated by the experiment reported in Nature Physics 7, 608 (2011). A short-time analytic model is constructed, which is a modified version of the undepleted pump approximation widely used in quantum and atom optics, except that here we take into account the initial phase fluctuations of the pump source as opposed to assuming long-range phase coherence. We use this model to make quantitative and qualitative predictions of how phase-fluctuations of the source impact the two-particle correlations of scattered atom-pairs. The model is benchmarked against detailed numerical simulations using stochastic phase-space methods, and is shown to validate the intuitive notion that the broadening of momentum-space correlation functions between atoms scattered from a quasi-condensate is driven by the broadened momentum width of the source compared to a true phase coherent condensate. Finally, we combine these theoretical tools and results to investigate the effect phase fluctuations of the twin-beam source can have on a proposed demonstration of a violation of a Bell inequality, which intrinsically relies on phase-sensitive pair correlations.
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