Abstract
The effective mass that approximately describes the influence of a classical homogeneous gravitational field on an interacting atom–radiation field system is determined within the framework of the Jaynes–Cummings model. By taking into account both the atomic motion and the gravitational field, a full quantum treatment of the internal and external dynamics of the atom is presented. By exactly solving the Schrödinger equation in the interaction picture, the evolving state of the system is found. The influence of a classical homogeneous gravitational field on the energy eigenvalues, the effective mass of the atom–radiation field system and the Wigner distribution of the radiation field are studied, when the initial condition is such that the radiation field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states.
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