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Entanglement and steering in a cross-shaped double-cavity with a magnetic sphere and driven by a squeezed vacuum field

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Abstract

We have explored steady-state entanglement and steering in a cross-shaped double-cavity with a levitating magnetic sphere and driven by a squeezed vacuum field. From the equations of motion of the system, we derived the linearized Lyapunov equation for the steady-states, introduced the logarithmic negativity to measure the entanglement and a similar quantity to measure the steering, and conducted calculations in parameter regions around stable steady-states. Numerical results show that steady-state entanglement and steering between various components of the system, such as cavity-cavity, cavity-magnon, and cavity-phonon, can form by choosing experimentally feasible detunings, dissipation rates, and coupling rates. Moreover, one-way steering can be achieved through appropriately adjusting the system parameters. The proposed model provides a platform for the study of the entanglement and one-way steering, and may find itself applications in quantum information processing and quantum cryptography.

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Data Availibility Statement

No datasets were generated or analysed during the current study.

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Acknowledgements

M. Z. thanks Junzhong Yang for helpful discussions. This work was supported by the National Natural Science Foundation of China under Grant No. 11475021 and the National Key Basic Research Program of China under Grant No. 2013CB922000.

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Authors and Affiliations

  1. Department of Physics, Beijing Normal University, Beijing, 100875, China

    Ruiqing Zhao, Jinhao Jia, Lixiong Wu & Mei Zhang

  2. Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing, 100875, China

    Ruiqing Zhao, Jinhao Jia, Lixiong Wu & Mei Zhang

Authors
  1. Ruiqing Zhao
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  2. Jinhao Jia
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  3. Lixiong Wu
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  4. Mei Zhang
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R.Z. wrote the main manuscript text and prepared all the figures. J.J. and L.W. reviewed the manuscript. M.Z. drafted the manuscript.

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Correspondence to Mei Zhang.

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Zhao, R., Jia, J., Wu, L. et al. Entanglement and steering in a cross-shaped double-cavity with a magnetic sphere and driven by a squeezed vacuum field. Opt Quant Electron 56, 947 (2024). https://doi.org/10.1007/s11082-024-06859-w

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