脉冲平面波时空中Unruh-DeWitt探测器的开放量子系统方法
Open quantum system approach to the Unruh-DeWitt detector in impulsive plane wave spacetimes
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中文总结 AI 辅助
本研究利用开放量子系统框架与影响泛函形式，非微扰分析脉冲平面波时空中Unruh-DeWitt探测器的响应，计算了两类波下的相关期望值与跃迁概率，发现波会抑制激发跃迁，且方法可覆盖弱、强耦合情形。
中文摘要 AI 辅助
本文采用开放量子系统框架与影响泛函形式，对脉冲平面波时空中与无质量标量场相互作用的、以简谐振子为模型的Unruh-DeWitt探测器的响应进行非微扰分析。通过减去闵可夫斯基时空的结果，我们得到了$\u27e8 Q^2 \u27e9$、$\u27e8 P^2 \u27e9$、$\u27e8 \{Q,P\} \u27e9$的期望值，以及受波影响下探测器从基态到第一激发态的跃迁概率$P_{0\ ightarrow 1}$。我们对纯引力波（里奇张量为零）和类光电磁波（外尔张量为零）两种情况进行了显式计算，两种场景下波均会抑制激发跃迁。由于采用非微扰方法，我们能够同时研究弱耦合与强耦合常数的情形。
英文摘要
In this paper we employ the open quantum system framework with the influence functional formalism to non-perturbatively analyze the response of an Unruh-DeWitt detector modeled as a harmonic oscillator which interacts with a massless scalar field in impulsive plane wave spacetimes. Subtracting the Minkowski results, we obtain the expectation values for $\langle Q^2 \rangle$, $\langle P^2 \rangle$, and $\langle \{Q,P\} \rangle$, along with transition probabilities $P_{0\rightarrow 1}$ from ground state to the first excited state of the detector due to the influence of the wave. Explicit calculations are performed for both a pure gravitational wave (vanishing Ricci tensor) and a null electromagnetic wave (vanishing Weyl tensor). In both scenarios, the wave suppresses excitation transitions. Since our approach is non-perturbative, we are able to consider cases with both weak and strong coupling constants.
