Abstract
In this paper, the detailed inseparability criteria of entanglement quantification of correlated two-mode light generated by a three-level laser with a coherently driven parametric amplifier and coupled to a two-mode vacuum reservoir is thoroughly analyzed. Using the master equation, we obtain the stochastic differential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the squeezing and the photon entanglement by considering different inseparability criteria. The various criteria of entanglement used in this paper show that the light generated by the quantum optical system is entangled and the amount of entanglement is amplified by introducing the parametric amplifier into the laser cavity and manipulating the linear gain coefficient.
Highlights
A three-level cascade laser has a great deal of interest over the years in connection with its potential as a source of the strong correlated photons exhibiting various nonclassical properties [1,2,3,4,5,6]
One of the possible mechanisms of producing this strong correlation is linked to atomic coherence that can be induced by preparing the atoms initially in a coherent superposition of the up and down levels [7, 8]
Three-level lasers can be defined as a two-photon quantum optical device that produces a strong correlated light with some nonclassical features such as squeezing and entanglement which are the subject of this paper
Summary
A three-level cascade laser has a great deal of interest over the years in connection with its potential as a source of the strong correlated photons exhibiting various nonclassical properties [1,2,3,4,5,6]. One of the possible mechanisms of producing this strong correlation is linked to atomic coherence that can be induced by preparing the atoms initially in a coherent superposition of the up and down levels [7, 8] In this regard, three-level lasers can be defined as a two-photon quantum optical device that produces a strong correlated light with some nonclassical features such as squeezing and entanglement which are the subject of this paper. The entanglement of the light produced by a nondegenerate three-level laser with nondegenerate parametric amplifier and coupled to vacuum reservoir is studied at or below the threshold condition resulting from the steady state solutions. Various criteria of entanglement quantification are used to study the entanglement of the two-mode light generated by the two-photon optical device in this paper. In the last two sections, applying the solutions of the cavity mode variables, the quadrature squeezing and entanglement using various quantification criteria are investigated
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