Analytic Solution of Non-resonant Multiphoton Jaynes-Cummings Model with Dissipation at Finite Temperature

We derive a new master equation with and without Markovian approximation for the reduced density operator of a quantum system. We study a multiphoton Jaynes-Cummings model (JCM) with the dissipation at a finite temperature by making use of the new master equation under Markovian approximation. We present an exact solution of a non-resonant multiphoton JCM with the dissipstion by the use of the superoperator technique, and obtain analytic expressions for the atomic inversion and the intensity of the cavity field in the JCM. It is shown that the new master equation under the Markovian approximation can better describe the suppression of the revivals of the inversion and oscillatary behavoirs of the photonnumber distribution in the JCM. When the damping vanishes, the usual expressions for the inversion and the intensity are recovered. PACS number(s): 42.50.Md, 42.50.Dv, 03.65.Bz