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 1/m, where m is the mass of the scalar field.

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We consider a two-atom system uniformly moving through a circular ring at an ultra-relativistic speed and weakly interacting with the common quantum fields. Two kinds of fields are introduced here: a massive free scalar field and electromagnetic (EM) vector fields. The vacuum fluctuations of the quantum fields give rise to the resonance Casimir–Polder interaction (RCPI) in the system. Using the quantum master equation formalism, we calculate the second-order energy shift of the entangled states of the system. We find two major aspects of RCPI in a circular trajectory. The first one is the presence of the centripetal acceleration, which gives rise to non-thermality in the system, and secondly, due to the interaction with the above fields, the energy shift for RCPI is retarded in comparison with the massless scalar field. The retardation effect can die out by decreasing the centripetal acceleration and increasing the Zeeman frequency of the atoms. We also show that this phenomenon can be observed via the polarization transfer technique. The coherence time for the polarization transfer is calculated, which is different for the different fields.