IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i13p2790-d1175688.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/13/2790/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/13/2790/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Simon Hönl & Youri Popoff & Daniele Caimi & Alberto Beccari & Tobias J. Kippenberg & Paul Seidler, 2022. "Microwave-to-optical conversion with a gallium phosphide photonic crystal cavity," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    2. André G. Primo & Pedro V. Pinho & Rodrigo Benevides & Simon Gröblacher & Gustavo S. Wiederhecker & Thiago P. Mayer Alegre, 2023. "Dissipative optomechanics in high-frequency nanomechanical resonators," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Ming-Hao Jiang & Wenyi Xue & Qian He & Yu-Yang An & Xiaodong Zheng & Wen-Jie Xu & Yu-Bo Xie & Yanqing Lu & Shining Zhu & Xiao-Song Ma, 2023. "Quantum storage of entangled photons at telecom wavelengths in a crystal," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    4. Arjun Iyer & Yadav P. Kandel & Wendao Xu & John M. Nichol & William H. Renninger, 2024. "Coherent optical coupling to surface acoustic wave devices," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. Roel Burgwal & Ewold Verhagen, 2023. "Enhanced nonlinear optomechanics in a coupled-mode photonic crystal device," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    6. Terence Blésin & Wil Kao & Anat Siddharth & Rui N. Wang & Alaina Attanasio & Hao Tian & Sunil A. Bhave & Tobias J. Kippenberg, 2024. "Bidirectional microwave-optical transduction based on integration of high-overtone bulk acoustic resonators and photonic circuits," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    7. Germain Tobar & Sreenath K. Manikandan & Thomas Beitel & Igor Pikovski, 2024. "Detecting single gravitons with quantum sensing," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    8. Jingkun Guo & Jin Chang & Xiong Yao & Simon Gröblacher, 2023. "Active-feedback quantum control of an integrated low-frequency mechanical resonator," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    9. Cheng Wang & Louise Banniard & Kjetil Børkje & Francesco Massel & Laure Mercier de Lépinay & Mika A. Sillanpää, 2024. "Ground-state cooling of a mechanical oscillator by a noisy environment," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    10. Yannick Seis & Thibault Capelle & Eric Langman & Sampo Saarinen & Eric Planz & Albert Schliesser, 2022. "Ground state cooling of an ultracoherent electromechanical system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    11. Jake Rochman & Tian Xie & John G. Bartholomew & K. C. Schwab & Andrei Faraon, 2023. "Microwave-to-optical transduction with erbium ions coupled to planar photonic and superconducting resonators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    12. M. Businger & L. Nicolas & T. Sanchez Mejia & A. Ferrier & P. Goldner & Mikael Afzelius, 2022. "Non-classical correlations over 1250 modes between telecom photons and 979-nm photons stored in 171Yb3+:Y2SiO5," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    13. Ali, Md. Manirul & Dinakaran, Rohith & Radhakrishnan, Chandrashekar, 2023. "Coherence crossover dynamics in the strong coupling regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    14. Valeria Vento & Santiago Tarrago Velez & Anna Pogrebna & Christophe Galland, 2023. "Measurement-induced collective vibrational quantum coherence under spontaneous Raman scattering in a liquid," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    15. Rishabh Sahu & William Hease & Alfredo Rueda & Georg Arnold & Liu Qiu & Johannes M. Fink, 2022. "Quantum-enabled operation of a microwave-optical interface," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    16. Peipei Pan & Aixi Chen & Li Deng, 2023. "Improving Mechanical Oscillator Cooling in a Double-Coupled Cavity Optomechanical System with an Optical Parametric Amplifier," Mathematics, MDPI, vol. 11(9), pages 1-12, May.
    17. Yang, Ming & Cao, Zhuo-Liang, 2004. "Entanglement distillation for W class states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 141-148.
    18. Tulio Brito Brasil & Valeriy Novikov & Hugo Kerdoncuff & Mikael Lassen & Eugene S. Polzik, 2022. "Two-colour high-purity Einstein-Podolsky-Rosen photonic state," Nature Communications, Nature, vol. 13(1), pages 1-5, December.
    19. Liu Qiu & Rishabh Sahu & William Hease & Georg Arnold & Johannes M. Fink, 2023. "Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    20. Jie Zhao & Hao Jeng & Lorcán O. Conlon & Spyros Tserkis & Biveen Shajilal & Kui Liu & Timothy C. Ralph & Syed M. Assad & Ping Koy Lam, 2023. "Enhancing quantum teleportation efficacy with noiseless linear amplification," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2790-:d:1175688. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.