Photon-number entangled states generated in Kerr media with optical parametric pumping

TL;DR

This paper investigates how two coupled Kerr oscillators with parametric pumping generate photon-number entangled states, analyzing entanglement dynamics, including sudden death and birth, and the influence of thermal reservoirs.

Contribution

It introduces a model of entangled photon-number states in Kerr media with parametric pumping and explores entanglement behavior over time, including conditions for its preservation.

Findings

Entanglement exhibits sudden death and rebirth during evolution.

Entanglement can persist in asymptotic states under specific conditions.

Violation of Cauchy-Schwartz inequality correlates with entanglement generation.

Abstract

Two nonlinear Kerr oscillators mutually coupled by parametric pumping are studied as a source of states entangled in photon numbers. Temporal evolution of entanglement quantified by negativity shows the effects of sudden death and birth of entanglement. Entanglement is preserved even in asymptotic states under certain conditions. The role of reservoirs at finite temperature in entanglement evolution is elucidated. Relation between generation of entangled states and violation of Cauchy-Schwartz inequality for oscillator intensities is found.