The effective mass of atom-radiation field system and the cavity-field Wigner distribution in the presence of a homogeneous gravitational field in the Jaynes-Cummings model

TL;DR

This paper investigates how a homogeneous gravitational field affects the effective mass and quantum state distribution of an atom-radiation system modeled by Jaynes-Cummings, including exact solutions and quantum properties.

Contribution

It provides a full quantum analysis of the atom-radiation system under gravity, deriving the effective mass and Wigner distribution considering atomic motion and gravitational effects.

Findings

Gravitational field modifies the energy eigenvalues.

The effective mass of the system is influenced by gravity.

The Wigner distribution of the radiation field is affected by gravitational effects.

Abstract

The effective mass that approximately describes the effect 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 gravitational field, a full quantum treatment of the internal and external dynamics of the atom is presented. By solving exactly the Schrodinger equation in the interaction picture, the evolving state of the system is found. Influence of a classical homogeneous gravitational field on the energy eigenvalues, the effective mass of atom-radiation field system and the Wigner distribution of the radiation field are studied, when initially 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.