Abstract
We investigate tripartite entanglement in an atom-cavity-optomechanical system consisting of a two-level atom coupled to a cavity with an oscillating mirror at one end. The maximally entangled state between the atom, the field and the oscillating mirror can be prepared in the ideal case. It is shown that the atomic coherent angle that is relatively small makes tripartite entanglement much stronger against dissipative effects in a finite time interval. The parameter k plays a very important role in the oscillating frequency of the tripartite entanglement. More importantly, the π-tangle decays more quickly with the increasing of spontaneous emission rate γ and mean photon number n.
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References
Caves, C.M.: Quantum-mechanical radiation-pressure fluctuations in an interferometer. Phys. Rev. Lett. 45, 75 (1980)
Mancini, S., Giovannetti, V., Vitali, D.: Entangling macroscopic oscillators exploiting radiation pressure. Phys. Rev. Lett. 88, 120401 (2002)
Vitali, D., Gigan, S., Ferreira, A.: Optomechanical entanglement between a movable mirror and a cavity field. Phys. Rev. Lett. 98, 030405 (2007)
Marquardt, F., Girvin, S.M.: Trend: Optomechanics. Physics 2, 40 (2009)
Aspelmeyer, M., Meystre, P., Schwab, K.C.: Quantum optomechanics. Phys. Today 65, 29 (2012)
Kippenberg, T.J., Vahala, K.J.: Cavity opto-mechanics. Opt. Express 15, 17172 (2007)
Kippenberg, T.J., Vahala, K.J.: Cavity optomechanics: back-action at the mesoscale. Science 321, 1172 (2008)
Abramovici, A., Althouse, W.E., Drever, R.W., Gürsel, Y., Kawamura, S., Raab, F.J., Shoemaker, D., Sievers, L., Spero, R.E., Thorne, K.S., Vogt, R.E., Weiss, R., Whitcomb, S.E., Zucker, M.E.: LIGO: The laser interferometer gravitational-wave observatory. Science 256, 325 (1992)
Vitali, D., Mancini, S., Tombesi, P.: Optomechanical scheme for the detection of weak impulsive forces. Phys. Rev. A 64, 188 (2001)
Geraci, A.A., Papp, S.B., Kitching, J.: Short-range force detection using optically cooled levitated microspheres. Phys. Rev. Lett. 105, 101101 (2010)
Lamoreaux, S.K.: Casimir forces: Still surprising after 60 years. Phys. Today 60, 40 (2007)
Stannigel, K., Rabl, P., Sørensen, A. S.: Optomechanical transducers for long-distance quantum communication. Phys. Rev. Lett. 105, 6322 (2010)
Genes, C., Vitali, D., Tombesi, P.: Emergence of atom-light-mirror entanglement inside an optical cavity. Phys. Rev. A 77, 18 (2008)
Meiser, D., Meystre, P.: Coupled dynamics of atoms and radiation pressure driven interferometers. Phys. Rev. A: At. Mol. Opt. Phys. 73, 501 (2006)
Ian, H., Gong, Z.R., Liu, Y.X.: Cavity optomechanical coupling assisted by an atomic gas. Phys. Rev. A 78, 124 (2008)
Marshall, W., Simon, C., Penrose, R.: Towards quantum superpositions of a mirror. Phys. Rev. Lett. 91, 130401 (2003)
Bose, S., Jacobs, K., Knight, P.L.: A quantum optical scheme to probe the decoherence of a macroscopic object. Phys. Rev. A 59, 3204 (1999)
Mancini, S., Tombesi, P.: Quantum noise reduction by radiation pressure. Phys. Rev. A: At. Mol. Opt. Phys. 49, 4055 (1994)
Wang, Y.M., Liu, B., Lian, J.L.: A scheme for detecting the atom-field coupling constant in the Dicke superradiation regime using hybrid cavity optomechanical system. Opt. Express 20, 10106 (2012)
Zhou, L., Han, Y., Jing, J.T.: Entanglement of nanomechanical oscillators and two-mode fields induced by atomic coherence. Phys. Rev. A 83, 052117 (2011)
Hammerer, K., Aspelmeyer, M., Polzik, E.S.: Establishing Einstein-Poldosky-Rosen channels between nanomechanics and atomic ensembles. Phys. Rev. Lett. 102, 020501 (2009)
Liu, N., Li, J.Q., Liang, J.Q.: Entanglement in a tripartite cavity-optomechanical system. Int. J. Theor. Phys. 52, 706 (2013)
James, D.F.V., Jerke, J.: Effective Hamiltonian theory and its applications in quantum information. Can. J. Phys. 85, 625 (2007)
Ou, Y.C., Fan, H.: Monogamy inequality in terms of negativity for three-qubit states. Phys. Rev. A 75, 062308 (2007)
Acknowledgments
This project was supported by National Natural Science Foundation of China (Grant Nos. 61368002 and 61561033), the Foundation for Distinguished Young Scientists of Jiangxi Province (Grant No. 20162BCB23009), the Natural Science Foundation of Jiangxi Province (Grant No. 20161BAB202046), the Open Project Program of CAS Key Laboratory of Quantum Information (Grant No. KQI201704), and Open Research Fund Program of the State Key Laboratory of Low-Dimensional Quantum Physics (Grant No. KF201711).
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Liao, Q., Ye, Y., Jin, P. et al. Tripartite Entanglement in an Atom-Cavity-Optomechanical System. Int J Theor Phys 57, 1319–1337 (2018). https://doi.org/10.1007/s10773-017-3661-7
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DOI: https://doi.org/10.1007/s10773-017-3661-7