Atom-photon, two-mode entanglement and two-mode squeezing in the presence of cross-Kerr nonlinearity

TL;DR

This paper explores how cross-Kerr nonlinearity influences atom-photon entanglement and two-mode squeezing in a three-level quantum system, revealing that nonlinearity and classical driving fields significantly affect quantum correlations.

Contribution

It introduces three models of atom-photon interaction considering cross-Kerr nonlinearity and analyzes their effects on entanglement and squeezing, highlighting the conditions for their generation and destruction.

Findings

Increasing cross-Kerr nonlinearity alters entanglement dynamics.

Classical driving fields can destroy long-term atom-photon entanglement.

Oscillatory two-mode squeezing can occur without classical driving or nonlinearity.

Abstract

The interaction of two quantized fields and three-level quantum system in a lambda-type configuration is investigated in the presence of cross-Kerr nonlinearity. We consider three models of coupling for the atom-photon interaction. First, we study the dynamical behavior of the atom-photon entanglement and show that increasing the cross-Kerr nonlinearity results in different behaviors in three considered models. Moreover, it is demonstrated that the two quantized modes can be entangled, on the other hand, by applying a classical driving field to the lower levels. Increasing the classical driving field destroys the long time atom-photon entanglement. Our results show that an oscillatory two-mode squeezing can be generated in the absence of a driving classical field and the cross-Kerr nonlinearity.