Nonlinear-dissipation-induced Entanglement of Coupled Nonlinear Oscillators

TL;DR

This paper investigates how nonlinear dissipation can generate and sustain entanglement between two coupled nonlinear oscillators, revealing phenomena like entanglement sudden death and rebirth at finite temperatures.

Contribution

It provides an analytical and numerical study showing that nonlinear dissipation facilitates entanglement creation and preservation in coupled oscillators, including effects like entanglement sudden death and rebirth.

Findings

Coupling induces entanglement in steady states.

Nonlinear dissipation enables non-classical steady states.

Finite temperature causes entanglement sudden death and rebirth.

Abstract

The quantum dynamics of two weakly coupled nonlinear oscillators is analytically and numerically investigated in the context of nonlinear dissipation. The latter facilitates the creation and preservation of non-classical steady states. Starting from a microscopic description of two oscillators individually interacting with their dissipative environments, it is found that in addition to energy relaxation, dephasing arises due to the mutual coupling. Using the negativity as an entanglement measure, it is shown that the coupling entangles the oscillators in the long-time limit. For finite temperatures, entanglement sudden death and rebirth are observed.