Unidirectional Gaussian One-Way Steering

Abstract

Steering is a type of quantum nonlocality that exhibits an inherent asymmetry between two observers. In a nondegenerate three-level laser coupled to a two-mode squeezed vacuum reservoir, we examine, under realistic experimental conditions, the Gaussian steering of two laser modes, $\mathcal{A}$ and $\mathcal{B}$, generated within the cascade transitions, respectively. We find that the $\mathcal{A}\to \mathcal{B}$ steerability is always higher than that from $\mathcal{B}\to \mathcal{A}$; in addition, the steering asymmetry cannot exceed $\ln 2$, which implies that the state ${\hat{\varrho }}_{\mathcal{A}\mathcal{B}}$ never diverges to an extremal asymmetry state. We show how squeezed noise can play a constructive role in realizing one-way steering. As the main result, we demonstrate that the state ${\hat{\varrho }}_{\mathcal{A}\mathcal{B}}$ can exhibit one-way steering solely from $\mathcal{A}\to \mathcal{B}$, which we show to emerge as a consequence of the fact that the intensity difference of the modes $\mathcal{A}$ and $\mathcal{B}$ is verified to remain always positive, irrespective of the physical and environmental parameters of ${\hat{\varrho }}_{\mathcal{A}\mathcal{B}}$. The generated unidirectional one-way steering may provide a useful resource for the distribution of the trust in future asymmetric quantum information tasks.

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Cited by in corpus (4)

• Gaussian Rényi-2 correlations in a nondegenerate three-level laser
• Distributing long-distance trust in optomechanics
• Manipulating the direction of one-way steering in an optomechanical ring cavity
• Generating Asymmetric Einstein-Podolsky-Rosen Steering between Two movable Mirrors Exploiting Correlated-Emission Laser