论文标题
二元性在同型相关的空间中的Unruh-Dewitt探测器的动力学中
Duality in the dynamics of Unruh-DeWitt detectors in conformally related spacetimes
论文作者
论文摘要
我们证明了关于弯曲空间中谐波振荡器型unruh-dewitt探测器的动力学的非扰动二元性。具体而言，使用高吉转换，我们表明，在时空中具有一个频率的谐波振荡器Unruh-Dewitt检测器的作用等于在相关的时空中具有不同频率的检测器的作用。例如，我们表明，在宇宙学场景中，平面时空中简单固定检测器的动力学对于检测器的动力学是双重的。非视扰性二元性使我们能够通过使用以更简单的，相关的空间为单位获得的结果来研究弯曲时空中新场景中的纠缠收获。
We prove a nonperturbative duality concerning the dynamics of harmonic-oscillator-type Unruh-DeWitt detectors in curved spacetimes. Concretely, using the Takagi transformation we show that the action of a harmonic oscillator Unruh-DeWitt detector with one frequency in a spacetime is equal to that of a detector with a different frequency in a conformally related spacetime. As an example, we show that the dynamics of simple stationary detectors in flat spacetime is dual to that of detectors in a cosmological scenario. The nonperturbative duality enables us to investigate entanglement harvesting in new scenarios in curved spacetime by using results obtained in simpler, conformally related spacetimes.
