Solution of the Master Equation in the Amplitude Damping Model Under the Action of Linear Resonance Force

Abstract

The amplitude damping model master equations of density operators under the action of linear resonance force can be concisely solved by virtue of thermo entangled state representation and the technique of integration within an ordered product of operators. We obtain the infinitive operator-sum representation of density operators. This approach may also be effective to treat other master equations. Further, the evolution of the coherent state in this model is discussed. The results show that the coherent state maintains its original coherence character in the amplitude damping model under the action of linear resonance force.