Master Equation for the Density Operator

Xiang‐Guo Meng, Ji‐Suo Wang, Bao‐Long Liang

Z. Ficek, Mohamed Ridza Wahiddin

In Chapter 9, we derived the master equation for a reduced density operator of a two-level atom coupled to a multi-mode vacuum field. We have seen that the master equation is an operator type equation that, in general, is not easy to solve. We have illustrated the solution of the master equation by representing the density operator in the basis of the two states of the two-level atom. The purpose of the representation of the master equation was to obtain c-number differential equations that are equivalent to the operator equations, but are more readily soluble.

Ravinder Rupchand Puri

Seyed Mahmoud Ashrafi, M. R. Bazrafkan

By introducing thermal entangled state representation which can map master equations of density operator in quantum statistics as state vector evolution equations and using dissipative interaction picture we solve the master equation of J-C model with cavity damping. In addition we derive the Wigner function for density operator when the atom is initially in the up state and the cavity mode is in coherent state.