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Nonclassical properties of multiple-photon subtracted displaced squeezed thermal states

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Abstract

We investigate how the combination of photon subtraction and coherent displacement affects the nonclassical properties of multiple-photon subtracted displaced squeezed thermal state (PSDSTS). We find that the Mandel Q parameter, the quadrature squeezing and the negative volume of Wigner functions of the PSDSTS are all periodic functions of the compound phase φ − θ/2 involved in the squeezing parameter ξ = r e and the displacement parameter λ = |λ|e with a period π. Particularly, we find that some interesting effects arise as φ − θ/2 = π/2. However, they are all phase independent except the Wigner function when λ = 0. Finally, we investigate the non-Gaussianity of the PSDSTS according to the fidelity between the PSDSTS and the displaced squeezed thermal state (DSTS), and find that the non-Gaussianity induced by the photon-subtraction operation is essentially nonclassical.

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References

  1. F. Dell’ Anno, S. De Siena, F. Illuminati, Phys. Rep. 428, 53 (2006), and references therein

    Article  MathSciNet  ADS  Google Scholar 

  2. A. Kitagawa, M. Takeoka, K. Wakui, M. Sasaki, Phys. Rev. A 72, 022334 (2005)

    Article  ADS  Google Scholar 

  3. F. Dell’ Anno, S. De Siena, L. Albano, F. Illuminati, Phys. Rev. A 76, 022301 (2007)

    Article  ADS  Google Scholar 

  4. Y. Yang, F.L. Li, Phys. Rev. A 80, 022315 (2009)

    Article  ADS  Google Scholar 

  5. F. Dell’ Anno, S. De Siena, F. Illuminati, Phys. Rev. A 81, 012333 (2010)

    Article  ADS  Google Scholar 

  6. G.S. Agarwal, K. Tara, Phys. Rev. A 43, 492 (1991)

    Article  ADS  Google Scholar 

  7. A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, Ph. Grangier, Science 312, 83 (2006)

    Article  ADS  Google Scholar 

  8. R.W. Boyd, K.W. Chan, M.N. O’Sullivan, Science 317, 1874 (2007)

    Article  Google Scholar 

  9. A. Zavatta, V. Parigi, M.S. Kim, H. Jeong, M. Bellini, Phys. Rev. Lett. 103, 140406 (2009)

    Article  ADS  Google Scholar 

  10. J. Wenger, R. Tualle-Brouri, P. Grangier, Phys. Rev. Lett. 92, 153601 (2004)

    Article  ADS  Google Scholar 

  11. S. Olivares, M.G.A. Paris, J. Opt. B: Quantum Semiclass. Opt. 7, S392 (2005)

    Article  ADS  Google Scholar 

  12. A. Kitagawa, M. Takeoka, M. Sasaki, A. Chefles, Phys. Rev. A 73, 042310 (2006)

    Article  ADS  Google Scholar 

  13. A. Zavatta, V. Parigi, M. Bellini, Phys. Rev. A 75, 052106 (2007)

    Article  ADS  Google Scholar 

  14. V. Parigi, A. Zavatta, M. Kim, M. Bellini, Science 317, 1890 (2007)

    Article  ADS  Google Scholar 

  15. L.Y. Hu, X.X. Xu, H.Y. Fan, J. Opt. Soc. Am. B 27, 286 (2010)

    Article  Google Scholar 

  16. L.Y. Hu, H.Y. Fan, J. Opt. Soc. Am. B 25, 1955 (2008)

    Article  ADS  Google Scholar 

  17. L.Y. Hu, X.X. Xu, Z.S. Wang, X.F. Xu, Phys. Rev. A 82, 043842 (2010)

    Article  ADS  Google Scholar 

  18. X.X. Xu, L.Y. Hu, H.Y. Fan, Opt. Commun. 283, 1801 (2010)

    Article  ADS  Google Scholar 

  19. H. Nha, H.J. Carmichael, Phys. Rev. Lett. 93, 020401 (2004)

    Article  ADS  Google Scholar 

  20. S. Wang, X.X. Xu, H.C. Yuan, L.Y. Hu, H.Y. Fan, J. Opt. Soc. Am. B 28, 2149 (2011)

    Article  ADS  Google Scholar 

  21. M.S. Kim, J. Phys. B: At. Mol. Opt. Phys 41, 133001 (2008)

    Article  ADS  Google Scholar 

  22. M. Matsuoka, T. Hirano, Phys. Rev. A 67, 042307 (2003)

    Article  ADS  Google Scholar 

  23. M. Owari, M.B. Plenio, E.S. Polzik, A. Serafini, M.M. Wolf, New J. Phys. 10, 113014 (2008)

    Article  ADS  Google Scholar 

  24. J. Calsamiglia, M. Aspachs, R. Munoz-Tapia, E. Bagan, Phys. Rev. A 79, 050301 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  25. D. Gottesman, A. Kitaev, J. Preskill, Phys. Rev. A 64, 012310 (2001)

    Article  ADS  Google Scholar 

  26. K. Jensen, W. Wasilewski, H. Krauter, T. Fernholz, B.M. Nielsen, M. Owari, M.B. Plenio, A. Serafini, M.M. Wolf, E.S. Polzik, Nat. Phys. 7, 13 (2010)

    Article  Google Scholar 

  27. J. Fiursáěk, R. García-Patrón, N.J. Cerf, Phys. Rev. A 72, 033822 (2005)

    Article  ADS  Google Scholar 

  28. P. Marek, J. Fiursáěk, Phys. Rev. A 82, 014304 (2010)

    Article  ADS  Google Scholar 

  29. S.Y. Lee, H. Nha, Phys. Rev. A 82, 053812 (2010)

    Article  ADS  Google Scholar 

  30. J.S. Neergaard-Nielsen, M. Takeuchi, K. Wakui, H. Takahashi, K. Hayasaka, M. Takeoka, M. Sasaki, Phys. Rev. Lett. 105, 053602 (2010)

    Article  ADS  Google Scholar 

  31. J. Fiursáěk, Phys. Rev. A 84, 012335 (2011)

    Article  ADS  Google Scholar 

  32. S. Wang, H.Y. Fan, L.Y. Hu, J. Opt. Soc. Am. B 29, 1020 (2012)

    Article  ADS  Google Scholar 

  33. H.Y. Fan, Ann. Phys. 321, 480 (2006)

    Article  ADS  MATH  Google Scholar 

  34. H.Y. Fan, Ann. Phys. 323, 500 (2008)

    Article  ADS  MATH  Google Scholar 

  35. H.Y. Fan, Y. Fan, Int. J. Mod. Phys. A 17, 701 (2002)

    Article  ADS  MATH  Google Scholar 

  36. H. Fearn, M.J. Colletta, J. Mod. Opt. 35, 553 (1998)

    Article  ADS  Google Scholar 

  37. C.K. Hong, L. Mandel, Phys. Rev. A 32, 974 (1985)

    Article  ADS  Google Scholar 

  38. J. Lee, J. Kim, H. Nha, J. Opt. Soc. Am. B 26, 1363 (2009)

    Article  ADS  Google Scholar 

  39. E. Wigner, Phys. Rev. 40, 749 (1932)

    Article  ADS  Google Scholar 

  40. R.J. Glauber, Phys. Rev. 130, 2529 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  41. H.Y. Fan, H.R. Zaidi, Phys. Lett. A 124, 303 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  42. R.R. Puri, Mathematical Methods of Quantum Optics (Springer-Verlag, Berlin, Heideberg, New York, 2001), Appendix A

  43. M.G. Genoni, M.G.A. Paris, K. Banaszek, Phys. Rev. A 76, 042327 (2007)

    Article  ADS  Google Scholar 

  44. M.G. Genoni, M.G.A. Paris, Phys. Rev. A 82, 052341 (2010)

    Article  ADS  Google Scholar 

  45. M. Barbieri, N. Spagnolo, M.G. Genoni, F. Ferreyrol, R. Blandino, M.G.A. Paris, P. Grangier, R. Tualle-Brouri, Phys. Rev. A 82, 063833 (2010)

    Article  ADS  Google Scholar 

  46. A. Ferraro, S. Olivares, M.G.A. Paris, Gaussian States in Quantum Information (Bibliopolis, Napoli, 2005)

  47. A. Kenfack, K. Zyczkowski, J. Opt. B: Quantum Semiclass. Opt. 6, 396 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  48. V.V. Dodonov, O. Manko, V. Manko, A. Wunsche, J. Mod. Opt. 47, 633 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  49. V.V. Dodonov, M.B. Renó, Phys. Lett. A 308, 249 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. P. Marian, T.A. Marian, H. Scutaru, Phys. Rev. A 69, 022104 (2004)

    Article  ADS  Google Scholar 

  51. A. Mari, K. Kieling, B.M. Nielsen, E.S. Polzik, J. Eisert, Phys. Rev. Lett. 106, 010403 (2011)

    Article  ADS  Google Scholar 

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Correspondence to S. Wang.

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Wang, S., Hu, L. & Fan, H. Nonclassical properties of multiple-photon subtracted displaced squeezed thermal states. Eur. Phys. J. D 66, 166 (2012). https://doi.org/10.1140/epjd/e2012-30125-2

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