Resonance Casimir-Polder interaction ( RCPI ) occurs in nature when two or more atoms are in their excited states and the exchange of a real photon occurs between them due to vacuum fluctuations of the quantum fields. In recent times, many attempts have been made to show that some curved spacetimes can be differentiated from a thermal Minkowski spacetime by using the RCPI . Motivated by these ideas, here we study the RCPI between two atoms that interact with a massive scalar field in Schwarzschild spacetime provided the atoms are placed in the near-horizon region. In this context we use the tool of the open quantum system and calculate the Lamb shift of the atomic energy level of the entangled states. We show that the behavior of RCPI changes depending on the mass of the scalar field. In the high mass limit, the interaction becomes short-ranged and eventually disappears beyond a characteristic length scale of ##IMG##

中文翻译：

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标量场的质量如何影响Schwarzschild时空中的共振Casimir-Polder相互作用

当两个或多个原子处于激发态时，自然会发生卡西米尔-波德相互作用（RCPI），并且由于量子场的真空涨落，在它们之间发生了实际的光子交换。近年来，已经进行了许多尝试以表明可以通过使用RCPI将某些弯曲时空与热Minkowski时空区分开。受这些想法的激励，在这里，我们研究两个原子之间的RCPI，这些原子与Schwarzschild时空中的大量标量场相互作用，前提是这些原子位于近地平线区域。在这种情况下，我们使用开放量子系统的工具并计算纠缠态原子能级的兰姆位移。我们表明，RCPI的行为根据标量场的质量而变化。在高质量限制下，