The properties of squeezed optical states created in lossy cavities

TL;DR

This paper provides a theoretical analysis of the properties of squeezed states generated in lossy cavities, deriving analytical solutions for their evolution and steady-state characteristics, including noise, photon number, and quantum correlations.

Contribution

It introduces a comprehensive analytical framework for understanding the dynamics of squeezed states in lossy cavities, including steady-state properties and quantum statistical measures.

Findings

Steady state quadrature noise reaches a limit depending on system parameters.

The photon number and squeezing parameter evolve predictably over time.

The $ g^{(2)} $ factor indicates non-classical photon correlations in the steady state.

Abstract

We investigate theoretically the properties of squeezed states generated using degenerate parametric down conversion in lossy cavities. We show that the Lindblad master equation, which governs the evolution of this system, has as its solution a squeezed thermal state with an effective temperature and squeezing parameter that depends on time. We derive analytical solutions for the time-evolution of quadrature noise, thermal photon number, squeezing parameter, and total photon number under different pumping regimes. We also find the steady state limits of the quadrature noises and discuss the $ g^{(2)} $ factor of the generated light inside the cavity in the steady state.