Skip to main content
SpringerLink
Log in

Excitation on the para-Bose states: Nonclassical properties

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In this paper, we use a para-Bose operator to construct new kinds of excited para-Bose states. These states may be considered as appropriate and linear combinations of the para-Bose Fock states. We prove that these states satisfy a closure relation that is expressed uniquely in terms of the Meijer G -function. We examine the nonclassical properties of these states, by evaluating para-Bose Fock state distribution, Mandel’s parameter, second-order coherence function and quadrature squeezing. It results that the introduced excited para-Bose states show both the nonclassical and semiclassical statistics on their Fock state distribution. We also show that these states lack second-order coherence, i.e. they are not full coherent. Interestingly, the non-classicality of these states is controlled by the deformation parameter and number of excitation, where both parameters might be feasible for fine tuning in the trapped-ion quantum simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A.I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, S. Schiller, Phys. Rev. Lett. 87, 050402 (2001)

    Article  ADS  Google Scholar 

  2. A. Ourjoumtsev, R. Tualle-Brouri, P. Grangier, Phys. Rev. Lett. 96, 213601 (2006)

    Article  ADS  Google Scholar 

  3. J.S. Neergaard-Nielsen, B.M. Nielsen, H. Takahashi, A.I. Vistnes, E.S. Polzik, Opt. Express 15, 79407949 (2007)

    Article  Google Scholar 

  4. M. Yukawa, K. Miyata, T. Mizuta, H. Yonezawa, P. Marek, R. Filip, A. Furusawa, Opt. Express 21, 5529 (2013)

    Article  ADS  Google Scholar 

  5. X. Zhou, I. Dotsenko, B. Peaudecerf, T. Rybarczyk, C. Sayrin, S. Gleyzes, J.M. Raimond, M. Brune, S. Haroche, Phys. Rev. Lett. 108, 243602 (2012)

    Article  ADS  Google Scholar 

  6. S. Deleglise, I. Dotsenko, C. Sayrin, J. Bernu, M. Brune, J.M. Raimond, S. Haroche, Nature 455, 510 (2008)

    Article  ADS  Google Scholar 

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

  8. D. Bouwmeester, A. Ekert, A. Zeilinger, The Physics of Quantum Information (Springer, Berlin, 2000)

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

    Article  ADS  Google Scholar 

  10. L.S. Madsen, V.C. Usenko, M. Lassen, R. Filip, U.L. Andersen, Nat. Commun. 3, 1038 (2012)

    Article  Google Scholar 

  11. S.L. Braunstein, C.M. Caves, Phys. Rev. Lett. 72, 3439 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  12. H.J. Kimble, Y. Levin, A.B. Matsko, K.S. Thorne, S.P. Vyatchanin, Phys. Rev. D 65, 022002 (2001)

    Article  ADS  Google Scholar 

  13. P. Kok, S.L. Braunstein, J.P. Dowling, J. Opt. B 6, 5811 (2004)

    Article  Google Scholar 

  14. A. Mari, J. Eisert, Phys. Rev. Lett. 109, 230503 (2012)

    Article  ADS  Google Scholar 

  15. C. Weedbrook, S. Pirandola, R. Garca-Patrn, N.J. Cerf, T.C. Ralph, J.H. Shapiro, S. Lloyd, Rev. Mod. Phys. 84, 621 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. A. Zavatta, S. Viciani, M. Bellini, Science 306, 660 (2004)

    Article  ADS  Google Scholar 

  18. A. Zavatta, S. Viciani, M. Bellini, Phys. Rev. A 72, 023820 (2005)

    Article  ADS  Google Scholar 

  19. H. Moya-Cessa, J. Mod. Opt. 42, 1741 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  20. D. Kalamidas, C.C. Gerry, A. Benmoussa, Phys. Lett. A 372, 1937 (2008)

    Article  ADS  Google Scholar 

  21. M. Dakna, L. Knoll, D.G. Welsch, Opt. Commun. 145, 309 (1998)

    Article  ADS  Google Scholar 

  22. S. Sivakumar, J. Phys. A 32, 3441 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  23. Y. Wang et al., Phys. Lett. A 381, 1393 (2017)

    Article  ADS  Google Scholar 

  24. D. Wang et al., Phys. Rev. A 90, 062315 (2014)

    Article  ADS  Google Scholar 

  25. L.F.M. Borelli, L.S. Aguiar, J.A. Roversi, A. Vidiella-Barranco, Quantum Inf. Process 15, 893 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  26. P.V.P. Pinheiro, R.V. Ramos, Quantum Inf. Process 12, 537 (2012)

    Article  ADS  Google Scholar 

  27. K. Nogueira, J.B.R. Silva, J.R. Goncalves, H.M. Vasconcelos, Phys. Rev. A 87, 043821 (2013)

    Article  ADS  Google Scholar 

  28. Z. Zhang, H. Fan, Phys. Lett. A 165, 14 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  29. V.V. Dodonov, Y.A. Korenoy, V.I. Man’ko, Y.A. Moukhin, Quantum Semiclass. Opt. 8, 413 (1996)

    Article  ADS  Google Scholar 

  30. Z.Z. Xin, Y. Duanz, W. Zhang, W.J. Qiank, M. Hirayamaz, K.I. Matumoto, J. Phys. B: At. Mol. Opt. Phys. 29, 2597 (1996)

    Article  ADS  Google Scholar 

  31. A. Dehghani, J. Math. Phys. 55, 043502 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  32. X.B. Wang, L.C. Kwek, Y. Liu, C.H. Oh, J. Phys. B: At. Mol. Opt. Phys. 34, 1059 (2001)

    Article  ADS  Google Scholar 

  33. C.N. Jones, J. Haight, C.T. Lee, Quantum Semiclass. Opt. 9, 411 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. A. Dehghani, B. Mojaveri, J. Phys. A: Math. Theor. 45, 095304 (2012)

    Article  ADS  Google Scholar 

  36. B. Mojaveri, A. Dehghani, Eur. Phys. J. D 68, 315 (2014)

    Article  ADS  Google Scholar 

  37. B. Mojaveri, A. Dehghani, B. Ali-Mohammadzadeh, Int. J. Theor. Phys. 55, 421 (2016)

    Article  Google Scholar 

  38. M.N. Hounkonnou, E.B. Ngompe Nkouankam, J. Phys. A: Math. Gen. 42, 025206 (2009)

    Article  ADS  Google Scholar 

  39. S. Dey, V. Hussin, Phys. Rev. A 93, 053824 (2016)

    Article  ADS  Google Scholar 

  40. M.H. Naderi, M. Soltanolkotabi, R. Roknizadeh, J. Phys. A: Math. Gen. 37, 3225 (2004)

    Article  ADS  Google Scholar 

  41. O. Safaeian, M.K. Tavassoly, J. Phys. A: Math. Theor. 44, 225301 (2011)

    Article  ADS  Google Scholar 

  42. M. Daoud, Phys. Lett. A 305, 135 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  43. D. Popov, J. Phys. A: Math. Gen. 35, 7205 (2002)

    Article  ADS  Google Scholar 

  44. B. Mojaveri, A. Dehghani, J. Math. Phys. 56, 041704 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  45. M. Arik, D. Coon, J. Math. Phys. 17, 524 (1976)

    Article  ADS  Google Scholar 

  46. A.J. Macfarlane, J. Phys. A 22, 4581 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  47. L. Biedenharn, J. Phys. A 22, L873 (1990)

    Article  Google Scholar 

  48. W. Chung, K. Chung, S. Nam, C. Um, Phys. Lett. A 183, 363 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  49. E. Borozov, V. Damaskinsky, S. Yegorov, arXiv:q-alg/9509022

  50. E. Wigner, Phys. Rev. 77, 711 (1950)

    Article  ADS  Google Scholar 

  51. H.S. Green, Phys. Rev. 90, 270 (1953)

    Article  ADS  Google Scholar 

  52. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products (Academic, San Diego, 2000)

  53. V.I. Mank’o, G. Marmo, E.C.G. Sudarshan, F. Zaccaria, Phys. Scr. 55, 528 (1997)

    Article  ADS  Google Scholar 

  54. D.J. Fernandez, V. Hussin, O. Rosas-Ortiz, J. Phys. A: Math. Gen. 40, 6491 (2007)

    Article  ADS  Google Scholar 

  55. C.L. Williams, N.N. Pandya, B.G. Bodmann, D.J. Kouri, arXiv:1701.02767v1 [math-ph]

  56. A. Dehghani, B. Mojaveri, S. Shirin, M. Saedi, Ann. Phys. 362, 659 (2015)

    Article  ADS  Google Scholar 

  57. B. Mojaveri, A. Dehghani, R. Jafarzadeh Bahrbeig, Int. J. Mod. Phys. A 33, 1850134 (2018)

    Article  ADS  Google Scholar 

  58. A. Dehghani, B. Mojaveri, Eur. Phys. J. D 71, 266 (2017)

    Article  ADS  Google Scholar 

  59. A. Dehghani, B. Mojaveri, S. Shirin, S. Amiri Faseghandis, Sci. Rep. 6, 38069 (2016)

    Article  ADS  Google Scholar 

  60. B. Mojaveri, A. Dehghani, Mod. Phys. Lett. A 37, 1550198 (2015)

    Article  Google Scholar 

  61. B. Mojaveri, A. Dehghani, S. Amiri Faseghandis, Eur. Phys. J. Plus 132, 128 (2017)

    Article  Google Scholar 

  62. C.H. Alderete, L.V. Vergara, Phys. Rev. A 95, 043835 (2017)

    Article  ADS  Google Scholar 

  63. C.H. Alderete, B.M. Rodriguez-Lara, Phys. Rev. A 95, 013820 (2017)

    Article  ADS  Google Scholar 

  64. R.J. Glauber, Quantum Theory of Optical Coherence: Selected Papers and Letters (Wiley, 2007)

  65. J.R. Klauder, E.C. Sudarshan, Fundamentals of Quantum Optics (Benjamin, 1968)

  66. K. Zelaya, O. Rosas-Ortiz, Z. Blanco-Garcia, S. Cruz y Cruz, Adv. Math. Phys. 2017, 7168592 (2017)

    Article  Google Scholar 

  67. E.V. Shchukin, W. Vogel, Phys. Rev. A 72, 043808 (2005)

    Article  ADS  Google Scholar 

  68. B. Baseia, M.H.Y. Moussa, V.S. Bagnato, Phys. Lett. A 240, 277 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  69. B. Baseia, C. Dantas, Phys. Lett. A 253, 123 (1999)

    Article  ADS  Google Scholar 

  70. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, New York, 1995) p. 543

  71. M. Hillery, Phys. Lett. 111, 409 (1985)

    Article  MathSciNet  Google Scholar 

  72. A.T. Avelar, B. Baseia, Opt. Commun. 239, 281 (2004)

    Article  ADS  Google Scholar 

  73. J.M.C. Malbouisson, B. Baseia, Phys. Lett. A 290, 234 (2001)

    Article  ADS  Google Scholar 

  74. A.T. Avelar, B. Baseia, Phys. Rev. A 72, 025801 (2005)

    Article  ADS  Google Scholar 

  75. C.C. Gerry, A. Benmoussa, Phys. Lett. A 303, 30 (2002)

    Article  ADS  Google Scholar 

  76. B.M. Escher, A.T. Avelar, T.M. da Rocha Filho, B. Baseia, Phys. Rev. A 70, 025801 (2004)

    Article  ADS  Google Scholar 

  77. D.N. Klyshko, Phys. Lett. A 213, 7 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  78. K. Wodkiewwicz, J.H. Eberly, J. Opt. Soc. Am. B 2, 458 (1985)

    Article  ADS  Google Scholar 

  79. D.F. Walls, Nature 306, 141 (1983)

    Article  ADS  Google Scholar 

  80. X. Yunjie, G. Guangcan, Phys. Lett. A 136, 6 (1989)

    Article  MathSciNet  Google Scholar 

  81. C.C. Gerry, J. Mod. Opt. 40, 1053 (1993)

    Article  ADS  Google Scholar 

  82. S. Sivakumar, Phys. Lett. A 250, 257 (1998)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Azarbaijan Shahid Madani University, PO Box 51745-406, Tabriz, Iran

    B. Mojaveri & R. Jafarzadeh Bahrbeig

  2. Department of Physics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

    A. Dehghani

Authors
  1. B. Mojaveri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Dehghani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Jafarzadeh Bahrbeig
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Mojaveri.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mojaveri, B., Dehghani, A. & Jafarzadeh Bahrbeig, R. Excitation on the para-Bose states: Nonclassical properties. Eur. Phys. J. Plus 133, 346 (2018). https://doi.org/10.1140/epjp/i2018-12163-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-12163-2

Search

Navigation