标题： 施瓦西时空中的热化过程的相对熵表述 显示英文标题

标题： Relative entropy formulation of thermalization process in a Schwarzschild spacetime

摘要： 我们重新审视了Schwarzschild黑洞外部Unruh-DeWitt（UDW）探测器的热化过程的熵表述问题。 我们在开放量子系统的背景下推导出探测器的晚期动力学，并利用量子相对熵（QRE）捕捉探测器热化过程中的路径可区分性和热力学不可逆性。 我们发现，超过Planckian跃迁率后，探测器Hilbert空间中的精炼热化过程可以通过相关QRE的时间行为加以区分。 我们表明，与黑洞真空（即Boulware、Hartle-Hawking和Unruh真空）的不同选择相对应，QRE表现出奇异的位置依赖性行为。 最后，从量子热力学的角度出发，我们将经历霍金辐射的UDW探测器的自由能变化重写为熵组合形式，在其中经典Kullback-Leibler散度和量子相干性以特定的QRE类似形式呈现。 随着霍金温度的增加，我们发现量子相干性的消耗速率大于其经典对应物的消耗速率。 显示英文摘要

摘要： We revisit the problem of the thermalization process in an entropic formulation for the Unruh-DeWitt (UDW) detector outside a Schwarzschild black hole. We derive the late-time dynamics of the detector in the context of open quantum system, and capture the path distinguishability and thermodynamic irreversibility of detector thermalization process by using quantum relative entropy (QRE). We find that beyond the Planckian transition rate, the refined thermalization process in detector Hilbert space can be distinguished by the time behavior of the related QRE. We show that the exotic position-dependent behaviors of the QRE emerge corresponding to different choices of black hole vacua (i.e., the Boulware, Hartle-Hawking, and Unruh vacua). Finally, from a perspective of quantum thermodynamics, we recast the free energy change of the UDW detector undergoing Hawking radiation into an entropic combination form, where the classical Kullback-Leibler divergence and quantum coherence are presented in specific QRE-like forms. With growing Hawking temperature, we find that the consumption rate of quantum coherence is larger than that of its classical counterpart.