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Quantum correlations between two cavity QED systems coupled by a mechanical resonator

Abstract

Achieving quantum correlations between two distant systems is a desirable feature for quantum networking. In this work, we study a system composed of two quantum emitter-cavity subsystems spatially separated. A mechanical resonator couples to either both quantum emitters or both cavities leading to quantum correlations between both subsystems such as non-local light-matter dressed states and cavity–cavity normal mode splitting. These indirect couplings can be explained by an effective Hamiltonian for large energy detuning between the mechanical resonator and the atoms/cavities. Moreover, it is found that the optimal conditions of the physical parameters maximize the entanglement of phonon-mediated couplings.

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References

  1. 1.

    H.J. Kimble, Nature 453, 1023 (2008)

  2. 2.

    K. Hammerer, A.S. Sorensen, E.S. Polzik, Rev. Mod. Phys. 82, 1041 (2010)

  3. 3.

    M.A. Nielsen, I.L. Chuang,Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2010)

  4. 4.

    C. Monroe, Nature 416, 238 (2002)

  5. 5.

    Y. Arakawa, J. Finley, R. Gross, F. Laussy, E. Solano, J. Vuckovic, New J. Phys. 17, 010201 (2015)

  6. 6.

    P. Lodahl, S. Mahmoodian, S. Stobbe, Rev. Mod. Phys. 87, 347 (2015)

  7. 7.

    A. Kavokin, J.J. Baumberg, F.P. Laussy, G. Malpuech,Microcavities, 2nd edn. (Oxford University Press, 2017)

  8. 8.

    A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004)

  9. 9.

    M.H. Devoret, R.J. Schoelkopf, Science 339, 1169 (2013)

  10. 10.

    J.Q. You, F. Nori, Phys. Today 58, 42 (2005)

  11. 11.

    J.Q. You, F. Nori, Nature 474, 589 (2011)

  12. 12.

    M. Aspelmeyer, T.J. Kippenberg, F. Marquard, Rev. Mod. Phys. 86, 1391 (2014)

  13. 13.

    W. Bowen, G. Milburn,Quantum Optomechanics (CRC Press, 2016)

  14. 14.

    K.C. Schwab, M.L. Roukes, Phys. Today 58, 36 (2005)

  15. 15.

    Z.-L. Xiang, S. Ashhab, J.Q. You, F. Nori, Rev. Mod. Phys. 85, 623 (2013)

  16. 16.

    J.-M. Pirkkalainen, S.U. Cho, J. Li, G.S. Paraoanu, P.J. Hakonen, M.A. Sillanpää, Nature 494, 211 (2013)

  17. 17.

    J.-M. Pirkkalainen, S.U. Cho, F. Massel, J. Tuorila, T.T. Heikkilä, P.J. Hakonen, M.A. Sillanpää, Nat. Commun. 6, 6981 (2015)

  18. 18.

    C. Dong, Y. Wang, H. Wang, Natl. Sci. Rev. 2, 510 (2015)

  19. 19.

    R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009)

  20. 20.

    Q. Liao, Y. Ye, P. Jin, N. Zhou, W. Nie, Int. J. Theor. Phys. 57, 1319 (2018)

  21. 21.

    X. Yang, Y. Ling, X. Shao, M. Xiao, Phys. Rev. A 95, 052303 (2017)

  22. 22.

    J. Restrepo, I. Favero, C. Ciuti, Phys. Rev. A 95, 023832 (2017)

  23. 23.

    J.E. Ramírez-Muñoz, J.P. Restrepo Cuartas, H. Vinck-Posada, Phys. Lett. A 382, 3109 (2018)

  24. 24.

    M. Cotrufo, A. Fiore, E. Verhagen, Phys. Rev. Lett. 118, 133603 (2017)

  25. 25.

    K. Hammerer, M. Wallquist, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, P. Zoller, J. Ye, H.J. Kimble Phys. Rev. Lett. 103, 2 (2009)

  26. 26.

    E.A. Sete, H. Eleuch, Phys. Rev. A 91, 032309 (2015)

  27. 27.

    T. Huan, R. Zhou, H. Ian, Phys. Rev. A 92, 022301 (2015)

  28. 28.

    C. Gerry, P. Knight,Introductory Quantum Optics (Cambridge University Press, New York, 2005)

  29. 29.

    G. Luo, Z.-Z. Zhang, G.-W. Deng, H.-O. Li, G. Cao, M. Xiao, G.-C. Guo, L. Tian, G.-P. Guo, Nat. Commun. 9, 383 (2018)

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Correspondence to Jhon Edinson Ramírez-Muñoz.

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Ramírez-Muñoz, J.E., Restrepo Cuartas, J.P. & Vinck-Posada, H. Quantum correlations between two cavity QED systems coupled by a mechanical resonator. Eur. Phys. J. B 91, 268 (2018). https://doi.org/10.1140/epjb/e2018-90438-4

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Keywords

  • Mesoscopic and Nanoscale Systems