A Generalized Master Equation for a Driven Quantal Oscillator
Mizuhiko Saeki · Journal of the Physical Society of Japan · 1986
The time-convolutionless master equation for driven open system derived in a previous paper, is applied to a simple system of a driven quantal oscillator. This system is assumed to be interacting weakly with its surroundings (heat bath). The operator form of equation is transcribed into the c -number one by the phase-space method. The equations of motion for the expectation values of the boson operator and boson number operator are derived from the c -number equations and are solved for the case of a non-adiabatic oscillator-bath interaction. The results are compared with the ones in the conventional Markoffian approximation for the time-convolution equation in the narrowing limit.