Dynamics of a Dissipative Jaynes-Cummings Model

Abstract

A new type of the dissipative Jaynes-Cummings model is presented. Interaction between a composite relevant system and a reservoir is introduced to modulate the coupling constant in the relevant system. A quantal master equation is obtained with use of the time convolutionless (TCL) projection operator formalism and is expanded in terms of eigenstates of the composite relevant system. The resulting basic equations become solvable and can be used irrespective of the interaction strength between the relevant subsystems. Moreover, these equations give the correct equilibrium values in each subspace. Several explicit numerical calculations are done.