Three-Level Atom in the Presence of a Stochastic Broad-Band Squeezed Vacuum
We incorporate broad-band squeezed fluctuations in a three-level atom in Ξ, Λ and V configurations1,2 assuming that the squeezed vacuum is described by the following complex random Rabi amplitudes Ω tj and Ω vj , where j = 1,2. The thermal parts Ω tj of the squeezed light couples to the atomic degrees of freedom like the coherent fields Ω j . The thermal fluctuations are characterized by a Gaussian white-noise with the following diagonal diffusion matrix (for real and imaginary components of the noise): d(j) = A j N j I where A l and A 2 are the atomic decay rates and for spontaneous emission into the unsqueezed vacuum and the parameters N j characterize the “thermal” contribution of the squeezed vacuum. The quantum part Ω vj of the squeezed vacuum couples to the atomic components in such a way that spontaneous absorption is eliminated.3 The statistical properties of such c-number squeezed vacuum fluctuations are given by a Gaussian white-noise with the following non-diagonal diffusion matrix (for real and imaginary components of the noise):where the complex parameters describe the phase-dependent vacuum contributions due to the squeezed noise.
KeywordsSpontaneous Emission Thermal Fluctuation Imaginary Component Diffusion Matrix Atomic Component
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© Springer Science+Business Media New York 1996