作为开放量子系统的声学黑洞动力学
Dynamics of an Acoustic Black Hole as an Open Quantum System
摘要：
利用开放量子系统方法研究了声黑洞中环境诱导的退相干过程，推广了前人的工作。我们专注于离子阱模型，但形式主义是一般的任何实验实施。我们计算了那个装置的退相干时间。我们发现在测量过程中发生了量子到经典的转变，我们提出了改进的参数来避免这样的特征。我们提供了零温度和有限温度的解析估计。我们还研究了一个声学黑洞的霍金对声子之间的纠缠，而在与水库，通过量子关联，表明它们保持强相关足够小的时间和温度。我们采用随机形式和特征线法求解场波动方程。
英文摘要：
We studied the process of decoherence induced by the presence of an environment in acoustic black holes, using the open quantum system approach, thus extending previous work. We focused on the ion trap model but the formalism is general to any experimental implementation. We computed the decoherence time for that setup. We found that a quantum to classical transition occurs during the measurement and we proposed improved parameters to avoid such a feature. We provide analytic estimations for both zero and finite temperature. We also studied the entanglement between the Hawking-pair phonons for an acoustic black hole while in contact with a reservoir, through the quantum correlations, showing that they remain strongly correlated for small enough times and temperatures. We used the stochastic formalism and the method of characteristic to solve the field wave equation.
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