Abstract
We investigate the dynamics of quantum correlations for the Tavis–Comming model in continuous dephasing process. It is shown that quantum discord and entanglement can reach stationary value, and quantum Zeno effect occurs in strong-coupling region. Furthermore, we explore the influence of continuous dephasing process on the trace distance between two marginal states of the two atoms and find that the trace distance also achieve a constant value during time evolution.












Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Wheeler, J.A., Zurek, W.H.: Quantum Theory of Measurement. Princeton University Press, Princeton (1983)
Braginsky, V.B., Khalili, F. Ya.: Quantum Measurement. Cambridge University Press, Cambridge (1992)
Onofrio, R., Viola, L.: Lindblad approach to nonlinear Jaynes-Cummings dynamics of a trapped ion. Phys. Rev. A. 56, 39–43 (1997)
Brun, T.A.: Continuous measurements, quantum trajectories, and decoherent histories. Phys. Rev. A. 61(4), 042107 (2000)
Greenberger, D.M.: New Techniques and Ideas in Quantum Measurement Theory, pp. 663–664. New York Academy of Science, New York (1986)
Lindblad, G.: On the generators of quantum dynamical semigroups. Commun. Math. Phys. 48, 119–130 (1976)
Korotkov, A.N.: Selective quantum evolution of a qubit state due to continuous measurement. Phys. Rev. B. 63(11), 115403 (2001)
Sun, C.P., Liu, X.F., Zhou, D.L., Yu, S.X.: Quantum measurement via born-oppenheimer adiabatic dynamics. Phys. Rev. A. 63(1), 012111 (2000)
Goan, H.-S., Milburn, G.J., Wiseman, H.M., Sun, H.B.: Continuous quantum measurement of two coupled quantum dots using a point contact: a quantum trajectory approach. Phys. Rev. B. 63(12), 125326 (2001)
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Communication, pp. 353–354. Cambridge University Press, Cambridge (2000)
Bose, S., Fuentes-Guridi, I., Knight, P.L., Vedral, V.: Subsystem purity as an enforcer of entanglement. Phys. Rev. Lett. 87(5), 050401 (2001)
Kim, M.S., Lee, J.Y., Ahn, D., Knight, P.L.: Entanglement induced by a single-mode heat environment. Phys. Rev. A. 65(4), 040101 (2002)
Jones, J., et al.: Implementation of a quantum search algorithm on a quantum computer. Nat. (London) 393, 344–346 (1998)
Paternostro, M., Vitali, D., Gigan, S., Kim, M.S., Brukner, C., Eisert, J., Aspelmeyer, M.: Creating and probing multipartite macroscopic entanglement with light. Phys. Rev. Lett. 99(25), 250401 (2007)
Vitali, D., Gigan, S., Ferreira, A., Bohm, H.R., Tombesi, P., Guerreiro, A., Vedral, V., Zeilinger, A., Aspelmeyer, M.: Optomechanical entanglement between a movable mirror and a cavity field. Phys. Rev. Lett. 98(3), 030405 (2007)
Horodecki, M., Horodecki, P., Horodecki, R., Oppenheim, J., Sen, A., Sen, U., Synak-Radtke, B.: Local versus nonlocal information in quantum-information theory: formalism and phenomena. Phys. Rev. A. 71(6), 062307 (2005)
Niset, J., Cerf, N.J.: Multipartite nonlocality without entanglement in many dimensions. Phys. Rev. A. 74(5), 052103 (2006)
Passante, G., Moussa, O., Trottier, D.A., Laflamme, R.: Experimental detection of nonclassical correlations in mixed-state quantum computation. Phys. Rev. A. 84(4), 044302 (2011)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88(4), 017901 (2002)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Gilchrist, A., Langford, N.K., Nielsen, M.A.: Distance measures to compare real and ideal quantum processes. Phys. Rev. A. 71(6), 062310 (2005)
Breuer, H.-P., Laine, E.-M., Piilo, J.: Measure for the degree of non-Markovian behavior of quantum processes in open systems. Phys. Rev. Lett. 103(21), 210401 (2009)
Laine, E.-M., Piilo, J., Breuer, H.-P.: Measure for the non-Markovianity of quantum processes. Phys. Rev. A. 81(6), 062115 (2010)
Liu, B.-H., Huang, Y.-F., Li, C.-F., Guo, G.-C., Laine, E.-M., Breuer, H.-P., Piilo, J.: Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems. Nat. Phys. 7, 931–934 (2011)
Tavis, M., Cummings, F.W.: Exact solution for an N-molecule radiation-field Hamiltonian. Phys. Rev. 170, 379–384 (1968)
Guo, J.-L., Song, H.-S.: Dynamics of pairwise entanglement between two TavisC-Cummings atoms. J. Phys. A: Math. Theor. 41, 085302 (2008)
Misra, B., Sudarshan, E.C.G.: The Zenos paradox in quantum theory. J. Math. Phys. 18, 756 (1977)
Facchi, P., Nakazato, H., Pascazio, S.: From the quantum zeno to the inverse quantum zeno effect. Phys. Rev. Lett. 86(13), 2699 (2001)
Facchi, P., et al.: Control of decoherence: analysis and comparison of three different strategies. Phys. Rev. A. 71(2), 022302 (2005)
Dalibard, J., Castin, Y., Molmer, K.: Wave-function approach to dissipative processes. Phys. Rev. Lett. 68, 580–583 (1992)
Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A. 81(4), 042105 (2010)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)
Yu, T., Eberly, J.H.: Evolution from entanglement to decoherence. Quantum Inf. Comput. 7, 459–468 (2007)
Acknowledgments
This project was supported by the National Natural Science Foundation of China (Grant No. 11274274).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, W., Xu, HS., Hu, ZD. et al. Stationary quantum correlations in Tavis–Cumming model induced by continuous dephasing process. Quantum Inf Process 12, 3191–3206 (2013). https://doi.org/10.1007/s11128-013-0596-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-013-0596-7