通过对易观测量测量评估原子玻色气体中声子态的纠缠度
Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
摘要：
我们表明，测量可交换的可观测量可以是足够的，以评估一个二分态纠缠根据不可分性或更强的标准的“steerability”。事实上，对单个可观测量的测量可能揭示两个子系统之间的干扰强度，就像使用干涉仪一样。为明确起见，我们着重于在均匀一维冷原子玻色气体中原位测量得到的密度涨落的两点关联函数。然后，我们比较这种情况下，发现在跨音速稳态流模仿一个黑洞的几何形状，相关的声子对发射在任何一侧的声波视界的模拟霍金效应。我们简单地将我们的考虑应用到最近的两个实验。
英文摘要：
We show that measuring commuting observables can be sufficient to assess that a bipartite state is entangled according to either nonseparability or the stronger criterion of 'steerability'. Indeed, the measurement of a single observable might reveal the strength of the interferences between the two subsystems, as if an interferometer were used. For definiteness we focus on the two-point correlation function of density fluctuations obtained by in situ measurements in homogeneous one-dimensional cold atomic Bose gases. We then compare this situation to that found in transonic stationary flows mimicking a black hole geometry where correlated phonon pairs are emitted on either side of the sonic horizon by the analogue Hawking effect. We briefly apply our considerations to two recent experiments.
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