Applications of the master equation of a two-level atom in a narrow-bandwidth squeezed vacuum

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 ˜ and M ˜ and new rate coefficients. There are also new terms, proportional to β , which are essentially narrow-bandwidth modifications determined by the parameters γ n , δ n and the shifts δ N and δ M . These parameters become zero when the squeezing bandwidth tends to infinity. The effects of the detuning parameter Δ of the driving laser field frequency ω L from the atomic resonance ω A and the squeezing parameters N ˜ and M ˜ on the atomic inversion, the von Neumann entropy and the resonance fluorescence spectrum are discussed.