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Nonclassical Correlation Dynamics in a System of Mesoscopic Josephson Junction Coupled to Single-mode Optical Cavity

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Abstract

We investigate the time evolutions of the continuous-variable entanglement and Gaussian quantum discord in a system consisting of a mesoscopic Josephson junction coupled to a single-mode optical cavity field. We can obtain the time-dependent covariance matrix using known symplectic operation and local canonical transformations. We compare the dynamics of Gaussian quantum discord with that of entanglement. It is shown that the entanglement dynamics of two-mode squeezed thermal state is richer and undergoes three different features: periodical oscillation, sudden death and revival, and no-creation of entanglement, conditioned on the average number of thermal photons in each mode, whereas the Gaussian quantum discord can only exhibit a periodical oscillation behavior during the evolution.

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References

  1. Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  2. Schrödinger, E.: Naturwissenschaften 23, 807 (1935)

    Article  ADS  Google Scholar 

  3. Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  4. Bell, J.S.: Phys. (Long Island City N.Y.) 1, 195 (1965)

    Google Scholar 

  5. Clauser, J.F., Home, M.A., Shimony, A., Holt, R.A.: Phys. Rev. Lett. 23, 880 (1969)

    Article  ADS  Google Scholar 

  6. Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  7. Zhou, T., Cui, J.X., Long, G.L.: Phys. Rev. A 84, 062105 (2011)

    Article  ADS  MATH  Google Scholar 

  8. Dugić, M., Arsenijević, M., Jeknić-Dugić, J.: Sci. China-Phys. Mech. Astron 56, 732 (2013)

    Article  ADS  Google Scholar 

  9. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  10. Su, X.L., Jia, X.J., Xie, C.D., Peng, K.C.: Sci. China-Phys. Mech. Astron 57, 1210 (2014)

    Article  ADS  Google Scholar 

  11. Datta, A., Shaji, A., Caves, C.M.: Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  12. Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  13. Piani, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett. 100, 090502 (2008)

    Article  ADS  Google Scholar 

  14. Brodutch, A., Terno, D.R.: Phys. Rev. A 81, 062103 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  15. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  16. Bellomo, B., Franco, L.R., Compagno, G.: Vol. 99, p 160502 (2007)

  17. Ai, Q., Wang, Y.D., Long, G.L., Sun, C.P.: Sci. China-Phys. Mech. Astron. 52, 1898 (2009)

    Article  ADS  Google Scholar 

  18. Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.A., Garraway, B.M.: Phys. Rev. A 79, 042302 (2009)

    Article  ADS  Google Scholar 

  19. Yu, T., Eberly, J.H.: Science 323, 598 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Werlang, T., Souza, S., Fanchini, F.F., Villas, B.C.J.: Phys. Rev. A 80, 024103 (2009)

    Article  ADS  Google Scholar 

  21. Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A 81, 052107 (2010)

    Article  ADS  Google Scholar 

  22. Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Phys. Rev. A 81, 014101 (2010)

    Article  ADS  Google Scholar 

  23. Zhu, Y.Y., Zhang, Y.: Sci. China-Phys. Mech. Astron 55, 2081 (2012)

    Article  ADS  Google Scholar 

  24. Wang, T.J., Lu, Y., Long, G.L.: Phys. Rev. A 86, 042337 (2012)

    Article  ADS  Google Scholar 

  25. Ma, X.S., Qiao, Y., Zhao, G.X., Wang, A.M.: Sci. China-Phys. Mech. Astron. 56, 600 (2013)

    Article  ADS  Google Scholar 

  26. Guo, J.L., Li, H., Long, G.L.: Quant. Inf. Proc. 12, 3421 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  27. Yao, C.M., Chen, Z.H., Ma, Z.H., Severini, S., Serafini, A.: Sci. China-Phys. Mech. Astron. 57, 1703 (2014)

    Article  ADS  Google Scholar 

  28. Zhang, P., You, B., Cen, L.X.: Chin. Sci. Bull. 59, 3841 (2014)

    Article  Google Scholar 

  29. Vourdas, A.: Phys. Rev. B 49, 12040 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  30. Vourdas, A.: Z. Phys. B 100, 455 (1996)

    Article  ADS  Google Scholar 

  31. Shao, B., Zou, J., Wang, R.Y.: Phys. Lett. A 242, 105 (1998)

    Article  ADS  Google Scholar 

  32. Shao, B., Zou, J., Li, Q.S.: Phys. Rev. B 60, 9714 (1999)

    Article  ADS  Google Scholar 

  33. Huo, W.Y., Long, G.L.: Appl. Phys. Lett. 92, 133102 (2008)

    Article  ADS  Google Scholar 

  34. Huo, W.Y., Long, G.L.: New Phys. J. 10, 013026 (2008)

    Article  Google Scholar 

  35. Martinis, M.J., Nam, S., Aumentado, J., Urbina, C.: Phys. Rev. Lett. 89, 117901 (2002)

    Article  ADS  Google Scholar 

  36. Zeng, T.H., Shao, B., Chang, P., Zou, J.: Chin. Phys. Lett. 23, 2644 (2006)

    Article  ADS  Google Scholar 

  37. Chang, P., Shao, B., Zou, J.: Phys. Lett. A 354, 48 (2006)

    Article  ADS  Google Scholar 

  38. Giorda, P., Paris, M.G.A.: Phys. Rev. Lett. 105, 020503 (2010)

    Article  ADS  Google Scholar 

  39. Adesso, G., Datta, A.: Phys. Rev. Lett. 105, 030501 (2010)

    Article  ADS  Google Scholar 

  40. Vourdas, A.: Z. Phys. B 102, 43 (1997)

    Article  ADS  Google Scholar 

  41. Simon, R.: Phys. Rev. Lett. 84, 2726 (2000)

    Article  ADS  Google Scholar 

  42. Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  43. Long, G.L., Zhou, Y.F., Jin, J.Q., Sun, Y., Lee, H.W.: Found. Phys. 36, 1217 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. Giedke, G., Cirac, J.I.: Phys. Rev. A 66, 032316 (2002)

    Article  ADS  Google Scholar 

  45. Serafini, A., Eisert, J., Wolf, M.M.: Phys. Rev. A 71, 012320 (2005)

    Article  ADS  Google Scholar 

  46. Marian, P., Marian, T.A., Scutaru, H.: Phys. Rev. A 68, 062309 (2003)

    Article  ADS  Google Scholar 

  47. Xiang, S.H., Song, K.H., Wen, W., Shi, Z.G.: Eur. Phys. J. D 62, 289 (2011)

    Article  ADS  Google Scholar 

  48. Isar, A.: Phys. Scr. T147 (2012)

  49. Ciccarello, F., Giovannetti, V.: Phys. Rev. A 85, 022108 (2012)

  50. Freitas, J.N., Paz, J.P.: Phys. Rev. A 85, 032118 (2012)

    Article  ADS  Google Scholar 

  51. Madsen, L.S., Berni, A., Lassen, M., Andersen, U.L.: Phys. Rev. Lett. 109 (2012)

  52. Giorda, P., Allegra, M., Paris, M.G.A.: Phys. Rev. A 86, 052328 (2012)

    Article  ADS  Google Scholar 

  53. Su, X.L.: Chin. Sci. Bull 59, 1083 (2014)

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Acknowledgments

This work is supported by National Natural Science Foundation of China under Grant No.11174100, Key Project of Hunan Provincial Natural Science Foundation under Grant No.11JJ2003, and the Key Project Foundation of Hunan Provincial Education Department, China under Grant No.14A114.

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Authors and Affiliations

  1. Department of Physics and Information Engineering, Huaihua University, Huaihua, 418008, China

    Shao-Hua Xiang, Yu-Jing Zhao, Xi-Xiang Zhu & Ke-Hui Song

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  1. Shao-Hua Xiang
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  2. Yu-Jing Zhao
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  3. Xi-Xiang Zhu
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  4. Ke-Hui Song
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Correspondence to Shao-Hua Xiang.

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Xiang, SH., Zhao, YJ., Zhu, XX. et al. Nonclassical Correlation Dynamics in a System of Mesoscopic Josephson Junction Coupled to Single-mode Optical Cavity. Int J Theor Phys 54, 2881–2892 (2015). https://doi.org/10.1007/s10773-015-2523-4

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  • DOI: https://doi.org/10.1007/s10773-015-2523-4

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