Nonlinear optical generation of entangled squeezed states in lossy nonorthogonal quasimodes: an analytic solution

TL;DR

This paper derives an analytic form for the quantum state of light generated in a lossy nanocavity system with nonorthogonal quasimodes, enabling efficient modeling of entangled squeezed states.

Contribution

It provides an exact analytic solution for the density operator of nonlinear, lossy, nonorthogonal quasimodes, facilitating the study and optimization of Gaussian cluster state generation.

Findings

Analytic form of the density operator as a multimode squeezed thermal state.

Good agreement with Fock basis simulations for a two-quasimode system.

Efficient modeling approach for generating and optimizing entangled Gaussian states.

Abstract

We prove that the density operator for the nonlinearly-generated quantum state of light in the $M$ lossy nonorthogonal quasimodes of a nanocavity system has the analytic form of a multimode squeezed thermal state, where the time-dependence of the squeezing and thermal photon parameters are given by a set of $3M$ coupled differential equations. We apply our approach to a system with two highly nonorthogonal quasimodes and obtain good agreement with simulations using a basis of Fock states. Our approach provides an efficient way to model and optimize the generation of mixed Gaussian cluster states.