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Transfer of Quantum States and Stationary Quantum Correlations in a Hybrid Optomechanical Network

Author

Listed:
  • Hugo Molinares

    (Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco 4780000, Chile)

  • Bing He

    (Centro de Optica e Información Cuántica, Universidad Mayor, Camino La Piramide 5750, Huechuraba 8580745, Chile)

  • Vitalie Eremeev

    (Instituto de Ciencias Básicas, Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Av. Ejercito 441, Santiago 8370109, Chile
    Institute of Applied Physics, Academiei 5, MD-2028 Chişinău, Moldova)

Abstract

We present a systematic study on the effects of dynamical transfer and steady-state synchronization of quantum states in a hybrid optomechanical network consisting of two cavities, which carry atoms inside and interact via a common moving mirror such as the mechanical oscillator. It is found that a high fidelity transfer of Schrödinger’s cat and squeezed states between two cavities modes is possible. On the other hand, we demonstrate the synchronization effect of the cavity modes in a steady squeezed state with its high fidelity realized by the mechanical oscillator that intermediates the generation, transfer and stabilization of the squeezing. In this framework, we also study the generation and evolution of bipartite and tripartite entanglement and find its connection to the effects of quantum state transfer and synchronization. Particularly, when the transfer occurs at the maximal fidelity, any entanglement is almost zero, so the different cavity modes are disentangled. However, these modes become entangled when the two bosonic modes are synchronized in a stationary squeezed state. The results provided by the current study may find applications in quantum information technologies, in addition to the setups for metrology, where squeezed states are essential.

Suggested Citation

  • Hugo Molinares & Bing He & Vitalie Eremeev, 2023. "Transfer of Quantum States and Stationary Quantum Correlations in a Hybrid Optomechanical Network," Mathematics, MDPI, vol. 11(13), pages 1-18, June.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2790-:d:1175688
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    References listed on IDEAS

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    1. Jasper Chan & T. P. Mayer Alegre & Amir H. Safavi-Naeini & Jeff T. Hill & Alex Krause & Simon Gröblacher & Markus Aspelmeyer & Oskar Painter, 2011. "Laser cooling of a nanomechanical oscillator into its quantum ground state," Nature, Nature, vol. 478(7367), pages 89-92, October.
    2. L.-M. Duan & M. D. Lukin & J. I. Cirac & P. Zoller, 2001. "Long-distance quantum communication with atomic ensembles and linear optics," Nature, Nature, vol. 414(6862), pages 413-418, November.
    3. Tim Leent & Matthias Bock & Florian Fertig & Robert Garthoff & Sebastian Eppelt & Yiru Zhou & Pooja Malik & Matthias Seubert & Tobias Bauer & Wenjamin Rosenfeld & Wei Zhang & Christoph Becher & Harald, 2022. "Entangling single atoms over 33 km telecom fibre," Nature, Nature, vol. 607(7917), pages 69-73, July.
    4. Hidehiro Yonezawa & Takao Aoki & Akira Furusawa, 2004. "Demonstration of a quantum teleportation network for continuous variables," Nature, Nature, vol. 431(7007), pages 430-433, September.
    5. Mohammad Mirhosseini & Alp Sipahigil & Mahmoud Kalaee & Oskar Painter, 2020. "Superconducting qubit to optical photon transduction," Nature, Nature, vol. 588(7839), pages 599-603, December.
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