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Steady-state entanglement in a mechanically coupled double cavity containing magnetic spheres

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Abstract

We study the steady-state entanglement in a mechanically coupled double cavity with levitating rigid magnetic spheres. We derive the linearized quantum Langevin equations for steady states, solve the Lyapunov equation for the quantum noises around the steady states, and adopt the logarithmic negativity to measure the steady-state entanglement. Numerical simulations show that steady-state entanglements between various components of the system, such as the photon–photon, the magnon–magnon, and the phonon–photon entanglements, can form by choosing experimentally feasible effective detunings, dissipation rates, and coupling rates. We also calculate the tripartite entanglement between magnon–photon–phonon. The entanglement is robust against the ambient temperature up to 80 mK. This work provides a prototype platform for the study of cross-cavity entanglement and entanglement transfer and may find itself applications in quantum information processing and quantum sensing.

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Data availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

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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

    Yabo Zhao, Ruiqing Zhao, Lanxin Chen, Jingyu Pan & Mei Zhang

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

    Yabo Zhao, Ruiqing Zhao, Lanxin Chen, Jingyu Pan & Mei Zhang

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  1. Yabo Zhao
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Zhao, Y., Zhao, R., Chen, L. et al. Steady-state entanglement in a mechanically coupled double cavity containing magnetic spheres. Quantum Inf Process 21, 307 (2022). https://doi.org/10.1007/s11128-022-03653-z

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