Entanglement dynamics of non-inertial observers in a correlated environment

TL;DR

This paper studies how correlated environmental noise affects entanglement between non-inertial and inertial observers, revealing conditions to prevent entanglement sudden death and the dominance of environmental effects over acceleration.

Contribution

It analyzes the impact of correlated noise channels on entanglement dynamics in non-inertial frames, highlighting noise's role in mitigating Unruh effect-induced entanglement loss.

Findings

Amplitude damping and bit flip channels significantly affect entanglement.

Correlated noise can prevent entanglement sudden death for certain parameters.

Environmental effects outweigh acceleration in entanglement degradation.

Abstract

Effect of decoherence and correlated noise on the entanglement of X-type state of the Dirac fields in the non-inertial frame is investigated. A two qubit X-state is considered to be shared between the partners where Alice is in inertial frame and Rob in an accelerated frame. The concurrence is used to quantify the entanglement of the X-state system influenced by time correlated amplitude damping, depolarizing and bit flip channels. It is seen that amplitude damping and bit flip channels heavily influence the entanglement of the system as compared to the depolarizing channel. It is found possible to avoid entanglement sudden death (ESD) for all the channels under consideration for {\mu}>0.75 for any type of initial state. No ESD behaviour is seen for depolarizing channel in the presence of correlated noise for entire range of decoherence parameter p and Rob's acceleration r. It is also seen that the effect of environment is much stronger than that of acceleration of the accelerated partner. Furthermore, it is investigated that correlated noise compensates the loss of entanglement caused by the Unruh effect.