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Dynamical Gaussian quantum steering in optomechanics

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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 Rényi-2 entropy, we show that Gaussian steering is strongly sensitive to the thermal effects and always upper bounded by entanglement degree.

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Authors and Affiliations

  1. LPHE-MS, Faculty of Sciences, Mohammed V University of Rabat, 10000, Rabat, Morocco

    Jamal El Qars & Rachid Ahl Laamara

  2. Max Planck Institute for the Physics of Complex Systems, 01187, Dresden, Germany

    Mohammed Daoud

  3. Abdus Salam International Centre for Theoretical Physics, Miramare, 34151, Trieste, Italy

    Mohammed Daoud

  4. Department of Physics, Faculty of Sciences, University Hassan II, 20000, Casablanca, Morocco

    Mohammed Daoud

  5. Centre of Physics and Mathematics (CPM), Mohammed V University of Rabat, 10000, Rabat, Morocco

    Rachid Ahl Laamara

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  1. Jamal El Qars
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El Qars, J., Daoud, M. & Laamara, R.A. Dynamical Gaussian quantum steering in optomechanics . Eur. Phys. J. D 71, 122 (2017). https://doi.org/10.1140/epjd/e2017-70606-0

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