A degenerate three-level laser coupled to a squeezed vacuum reservoir

TL;DR

This paper analyzes a three-level laser system driven by coherent light and coupled to a squeezed vacuum reservoir, deriving stochastic equations to evaluate squeezing, photon number, and their variances, revealing how gain and squeezing parameters influence these properties.

Contribution

It introduces a detailed stochastic differential equation approach for a three-level laser with a squeezed vacuum reservoir, providing new insights into its quantum properties.

Findings

Squeezing degree increases with gain and squeeze parameter.

Driving coherent light reduces mean photon number.

Derived explicit relations for quadrature variance and squeezing spectrum.

Abstract

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.