Quantum stochastic differential equation for squeezed light

Wilhelm von Waldenfels

Dawit Hiluf Hailu, Kassahun, Fesseha

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.

N. R. Davis

Luc Bouten

In this paper we study quantum stochastic differential equations (QSDEs) that are driven by strongly squeezed vacuum noise. We show that for strong squeezing such a QSDE can be approximated (via a limit in the strong sense) by a QSDE that is driven by a single commuting noise process. We find that the approximation has an additional Hamiltonian term.

Franco Fagnola

K. Fesseha

We seek to analyze, employing stochastic differential equations, the squeezing and statistical properties of the light generated by a three-level laser whose cavity contains a parametric amplifier. It is found that the effect of the parametric amplifier is to increase the intracavity squeezing by a maximum of 50%.