Abstract
The quantum and statistical properties of light generated by an external classical field in a correlated emission laser with a parametric amplifier and coupled to a squeezed vacuum reservoir are investigated using the combination of the master and stochastic differential equations. First, the solutions of the cavity-mode variables and correlation properties of noise forces associated to the normal ordering are obtained. Next, applying the resulting solutions, the mean photon number of the separate cavity modes and their crosscorrelation, smallest eigenvalue of the symplectic matrix, mean photon number, intensity difference fluctuation, photon number variance, and intensity correlation are derived for the cavity-mode radiation. The entanglement produced is studied employing the logarithmic negativity criterion. It is found that pumping atoms from the lower energy state to excited state, introducing the nonlinear crystal into the cavity and coupling the system to a biased noise fluctuation, generate a bright and strong squeezing and entanglement with enhanced statistical properties although the atoms are initially in the ground state.
Highlights
A search for quantum systems that would generate a strongly correlated two photons is an active area of theoretical and experimental investigations [1,2,3,4]. is research interest is predominantly linked to the intuitively manageable quantum features associated to the two-photon processes. e extensively studied quantum features, which are attributed to the correlation of the two-photon, are continuous variable quantum discord, quantum steering, quadrature squeezing, and quantum entanglement [5, 6]
The quantum statistical properties of the twomode cavity light, which is generated by a correlated emission laser with a nondegenerate parametric amplifier and coupled to the squeezed vacuum reservoir, have been investigated
With the aid of these equations, the quadrature fluctuations, smallest eigenvalue of the symplectic matrix, mean photon number, photon number fluctuation, photon number correlation, and intensity difference fluctuation of the cavity radiation are obtained. en, the quantum statistical properties of the cavity light have been analyzed varying the parameters involved in the system
Summary
A search for quantum systems that would generate a strongly correlated two photons is an active area of theoretical and experimental investigations [1,2,3,4]. is research interest is predominantly linked to the intuitively manageable quantum features associated to the two-photon processes. e extensively studied quantum features, which are attributed to the correlation of the two-photon, are continuous variable quantum discord, quantum steering, quadrature squeezing, and quantum entanglement [5, 6]. The squeezing, entanglement, and mean photon number of the cavity radiation have been found to be insignificant for the case in which all the atoms are initially prepared in the bottom level [33, 34] even in the presence of the parametric amplifier In this situation, an external pumping radiation has been employed to further investigate the nonclassical properties of the light produced by a coherently pumped correlated emission laser whose cavity is coupled to the vacuum reservoir, in the absence of the parametric amplifier and for the case in which the atoms are initially prepared in the aforementioned manner [35]. N and M account for the external environment on the quantum optical system. e constants N sinh2(r) and M sinh(r)cosh(r), in which r is the squeeze parameter
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