The effective mass of the atomradiation field system and the cavityfield Wigner distribution in the presence of a homogeneous gravitational field in the JaynesCummings model
Abstract
The effective mass that approximately describes the influence of a classical homogeneous gravitational field on an interacting atomradiation field system is determined within the framework of the JaynesCummings 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 atomradiation 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 twolevel atom is in a coherent superposition of the excited and ground states.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 July 2009
 DOI:
 10.1088/09534075/42/14/145507
 arXiv:
 arXiv:0902.0113
 Bibcode:
 2009JPhB...42n5507M
 Keywords:

 Quantum Physics
 EPrint:
 12 pages, 9 figures