The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements

TL;DR

This paper investigates how the Unruh effect impacts quantum steering between two accelerated detectors, revealing fragility, asymmetry, sudden death phenomena, and ways to enhance robustness through energy gap selection.

Contribution

It introduces a detailed analysis of quantum steering dynamics under Unruh thermal noise, highlighting the effects of acceleration and measurement choices on steerability.

Findings

Quantum steering is fragile under Unruh thermal noise.

Steering exhibits asymmetry and sudden death at certain accelerations.

Choosing the smallest energy gap enhances robustness of steerability.

Abstract

We study the dynamics of steering between two correlated Unruh-Dewitt detectors when one of them locally interacts with external scalar field via different quantifiers. We find that the quantum steering, either measured by the entropic steering inequality or the Cavalcanti-Jones-Wiseman-Reid inequality, is fragile under the influence of Unruh thermal noise. The quantum steering is found always asymmetric and the asymmetry is extremely sensitive to the initial state parameter. In addition, the steering-type quantum correlations experience "sudden death" for some accelerations, which are quite different from the behaviors of other quantum correlations in the same system. It is worth noting that the domination value of the tight quantum steering exists a transformation point with increasing acceleration. We also find that the robustness of quantum steerability under the Unruh thermal noise can be realized by choosing the smallest energy gap in the detectors.