Dynamical Gaussian quantum steering in optomechanics

TL;DR

This paper explores how dynamical Gaussian quantum steering can be generated and controlled in optomechanical systems using squeezed light, highlighting its sensitivity to thermal effects and relation to entanglement.

Contribution

It introduces a scheme for dynamical Gaussian quantum steering in optomechanics, demonstrating one-way steering and its dependence on environmental parameters.

Findings

Dynamical Gaussian steering can be generated via quantum fluctuations transfer.

One-way steering observed under specific environmental conditions.

Gaussian steering is more sensitive to thermal effects than entanglement.

Abstract

Einstein-Podolski-Rosen steering is a form of quantum correlation exhibiting an intrinsic asymmetry between two entangled systems. In this paper, we propose a scheme for examining dynamical Gaussian quantum steering of two mixed mechanical modes. For this, we use two spatially separated optomechanical cavities fed by squeezed light. We work in the resolved sideband regime. Limiting to the adiabatic regime, we show that it is possible to generate dynamical Gaussian steering via a quantum fluctuations transfer from squeezed light to the mechanical modes. By an appropriate choice of the environmental parameters, one-way steering can be observed in different scenarios. Finally, comparing with entanglement - quantified by the Gaussian R\'enyi-2 entropy-, we show that Gaussian steering is strongly sensitive to the thermal effects and always upper bounded by entanglement degree.