论文标题
因果钻石中的热效应:开放量子系统方法
Thermal effect in a causal diamond: open quantum systems approach
论文作者
论文摘要
具有有限寿命的静态观察者只能进入一个有限的时空区域,称为因果钻石。由于观察者的有限寿命,在因果钻石中存在明显的地平线,是Unruh样热效应的起源。因此,即使观察者是静态的并且背景是平坦的,但有限的观察者在Minkowski真空中经历了热浴。在本文中,我们提供了一种开放的量子系统方法,该方法通过观察者的稳态密度矩阵产生完整的热表征,该矩阵矩阵显示为热量,温度与其寿命成反比。这种相关的钻石温度与其他方法得出的既定结果一致。此外,我们的方法对于在因果钻石中设计纠缠收集方案特别有用。此外,我们引入了一个有见地的程序,该程序使用保形转换定义了钻石坐标,并导致热性能的更直接推导。
A static observer with a finite lifetime has causal access to only a limited region of spacetime known as the causal diamond. The presence of an apparent horizon in the causal diamond, due to the observer's finite lifetime, is the origin of an Unruh-like thermal effect. Thus, even though the observer is static and the background is flat, the finite-lifetime observer experiences a thermal bath in the Minkowski vacuum. In this article, we provide an open quantum systems approach that yields a complete thermal characterization via the observer's steady-state density matrix, which is shown to be thermal with a temperature inversely proportional to its lifetime. This associated diamond temperature agrees with the established result derived from other methods. Moreover, our approach is particularly useful for designing entanglement harvesting protocols in the causal diamond. In addition, we introduce an insightful procedure that defines diamond coordinates using conformal transformations, and which leads to a more direct derivation of the thermal properties.