Exact time-evolution of the dispersive Jaynes–Cummings model: the effect of initial correlation and master equation approach

Abstract

Time-evolution of the dispersive Jaynes–Cummings model interacting with a bosonic reservoir is considered in the presence of an initial correlation between the cavity field and reservoir. When there is at most one excitation in the whole system, the exact time-evolution can be obtained. The effects of the initial correlation on the decoherence of the two-level system and cavity field are investigated. Furthermore, the validity of the time-convolutionless quantum master equation in the second-order approximation with respect to the system-reservoir interaction is examined by means of the exact solution.

Keywords:

• dispersive Jaynes–Cummings model
• initial correlation
• exact dynamics
• master equation

Acknowledgements

The author greatly appreciates the useful comments and encouragement of Professor F. Shibata of Ochanomizu University and International Christian University (ICU) and Professor S. Kitajima of Ochanomizu University.