Abstract
In this paper, we derive the time-dependent solution of the effective master equation for the reduced density matrix operator of a two-level atom driven by a coherent laser field and damped by a finite-bandwidth squeezed Vacuum. The master equation has the standard form known from the broadband squeezing approaches but with new effective squeezing parameters (N) over tilde and (M) over tilde and new rate coefficients. There are also new terms, proportional to beta, which are essentially narrow-bandwidth modifications determined by the parameters gamma(n), delta(n) and the Shifts delta(N) and delta(M). These parameters become zero when the squeezing bandwidth tends to infinity. The effects of the detuning parameter Delta of the driving Laser field frequency omega(L) from the atomic resonance omega(A) and the squeezing parameters (N) over tilde and (M) over tilde on the atomic inversion, the von Neumann entropy and the resonance fluorescence spectrum are discussed. (C) 2009 Elsevier B.V. All rights reserved.