Analytic solution to the nonlinear generation of squeezed states in a thermal bath

TL;DR

This paper provides an exact analytical solution for the generation of squeezed states in a lossy optical cavity with a thermal bath, revealing how thermal effects diminish squeezing and coherence.

Contribution

It introduces a closed-form solution for the evolution of squeezed thermal states in a thermal environment, advancing understanding of quantum state dynamics in realistic conditions.

Findings

Thermal bath introduces thermal photons from loss and environment.

Thermal environment reduces quadrature squeezing.

Thermal effects decrease second order coherence function.

Abstract

We model squeezed state generation in a lossy optical cavity in the presence of a thermal bath using the Lindblad master equation. We show that the exact solution is a squeezed thermal state, where thermal photons arise both from loss and from the thermal bath. We derive an exact, closed-form solution for the evolution of the quadrature uncertainty arising from pulsed degenerate spontaneous parametric down conversion in the cavity. We apply this solution under different pump conditions and show in detail how the thermal environment reduces quadrature squeezing as well as the second order coherence function.