In this paper, we have studied the squeezing and statistical properties of the light produced by a three-level laser whose cavity contains a parametric amplifier, and with the cavity mode driven by coherent light and coupled to a vacuum reservoir. We obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. By making use of the solutions to the resulting differential equations, we calculate the quadrature variances. We also determine the mean and variance of the photon number for the cavity mode by employing the Q function. It is found that the parametric amplifier increases the degree of squeezing, while the driving coherent light does not have any effect on the squeezing. Moreover, the mean photon number increases considerably due to the driving coherent light and the parametric amplifier.
In this paper, we have studied the squeezing and statistical properties of the light produced by a three-level laser whose cavity contains a parametric amplifier, and with the cavity mode driven by coherent light and coupled to a vacuum reservoir. We obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. By making use of the solutions to the resulting differential equations, we calculate the quadrature variances. We also determine the mean and variance of the photon number for the cavity mode by employing the Q function. It is found that the parametric amplifier increases the degree of squeezing, while the driving coherent light does not have any effect on the squeezing. Moreover, the mean photon number increases considerably due to the driving coherent light and the parametric amplifier.
The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, μ = 0.16 and for thermal reservoir nth = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 70%.
Employing the master equation for a three-level laser driven by coherent light and coupled to a squeezed vacuum reservoir, we obtain stochastic differential equations associated with the normal ordering. Using the solutions of the stochastic differential equations, we calculate the quadrature variance, the squeezing spectrum, the mean photon number, and the variance of the photon number. It turns out that the degree of squeezing increases with the linear gain coefficient or the squeeze parameter. It is also found that the driving coherent light decreases the mean photon number.
In this article we study squeezing and statistical properties of light producing by a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir. With the aid of master equation, we obtain stochastic differential equations. Applying solutions of resulting differential equations, we calculate quadrature variance, the mean and variance of photon number, the photon number correlation. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. On the other hand, parametric amplifier and thermal reservoir increase the mean and variance of photon number. Furthermore, employing the same solutions, we also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8,μ = 0 and for thermal reservoir ¯ nth = 0 ,the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.
The detailed analysis of the two-mode quadrature squeezing and statistical properties of light generated by a nondegenerate three-level laser which has a parametric amplifier and coupled with a thermal reservoir is executed. The combination of the master equation and the stochastic differential equation is presented to study the nonclassical features of the light generated by the quantum system. Moreover, with the aid the resulting solutions together with the correlation properties of noise operators, we calculated the quadrature squeezing, entanglement, and mean number of photon pairs of the cavity light. It is found that the external small-amplitude driving radiation induces a strong correlation between the top and bottom states of three-level atoms to produce a high degree of squeezing. Moreover, the presence of a parametric amplifier is found to enhance the degree of squeezing of the cavity light. We have also established that an increase in the mean thermal photon number appears to degrade the squeezing, but enhances the mean number of photon pairs of the cavity light.
The quantum properties of a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir are thoroughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. Employing the same solutions, one can also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.
In this article the investigation of squeezing and statistical properties of light resulting by a non-degenerate three-level laser with the parametric amplifier and coupled to a thermal reservoir have been occurred. With the aid of master equation, stochastic differential equations were obtained. Applying solutions of resulting differential equations, quadrature variance, the mean and variance of photon number, the photon number correlation are calculated. However, the two-mode driving light has no effect on the squeezing properties of the cavity modes. On the other hand, parametric amplifier and thermal reservoir increase the mean and variance of photon number. Furthermore, employing the same solutions, we also obtain anti normally ordered characteristic function defined in the Heisenberg picture. For a linear gain coefficient of (A = 100), for a cavity damping constant of K= 0:8, µ = 0 and for thermal reservoir th = 0, the maximum intra cavity photon entanglement is found at steady state and at threshold to be 60%.