Nonlinear cross-Kerr quasiclassical dynamics

TL;DR

This paper investigates the quasiclassical behavior of the cross-Kerr effect, revealing persistent entanglement and polarization squeezing conditions, with analysis of dissipation effects on state shape and size.

Contribution

It introduces a quasiclassical model for the cross-Kerr effect and identifies conditions for polarization squeezing in this regime.

Findings

Decorrelation revivals disappear in the quasiclassical approximation

States remain entangled over time in this regime

Dissipation reduces the size but not the shape of states in Poincare space

Abstract

We study the quasiclassical dynamics of the cross-Kerr effect. In this approximation, the typical periodical revivals of the decorrelation between the two polarization modes disappear and they remain entangled. By mapping the dynamics onto the Poincare space, we find simple conditions for polarization squeezing. When dissipation is taken into account, the shape of the states in such a space is not considerably modified, but their size is reduced.