Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser

TL;DR

This paper proposes a controllable scheme to generate asymmetric quantum steering between two mechanical modes using a correlated-emission laser, with potential applications in one-way quantum information processing.

Contribution

It introduces a novel method to produce and control asymmetric quantum steering in optomechanical systems via a correlated-emission laser.

Findings

Both two-way and one-way steering can be achieved.

The direction of one-way steering can be controlled by bath temperatures or coupling strengths.

The mode with larger fluctuations determines the steering direction.

Abstract

Quantum steering is a form of quantum correlation that exhibits an inherent asymmetry, distinguishing it from entanglement and Bell nonlocality. It is now understood that quantum steering plays a pivotal role in asymmetric quantum information tasks. In this work, we propose a scheme to generate asymmetric steering between two mechanical modes by transferring quantum coherence from a correlated-emission laser. To accomplish this, we derive quantum Langevin equations to describe the optomechanical coupling between two cavity modes and two mechanical modes along with the master equation of two-mode laser. By examining the case where the cavity modes scatter at the anti-Stokes sidebands, we demonstrate that both two-way and one-way steering can be achieved by adjusting the strength of the field driving the gain medium of the laser. Furthermore, we show that the direction of one-way steering can be controlled by varying the temperatures of the mechanical baths or the strengths of the optomechanical couplings. Additionally, we reveal that the directionality of one-way steering depends on the modes fluctuation levels of the modes, with the mode exhibiting larger fluctuations determining the direction. This highly controllable scheme could potentially be realized with current technology, offering a promising platform for implementing one-way quantum information tasks.