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Nonclassical Properties of the Superposition of Three-Mode Photon-Added Trio Coherent State

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Abstract

In this paper, a new state called superposition of three-mode photon-added trio coherent state is introduced and its nonclassical properties are studied. Based on the negative values of the Wigner function, we find that the nonclassical as well as non-Gaussian characteristics of the superposition of three-mode photon-added trio coherent state are more obvious than that of the original trio coherent state. The superposition of three-mode photon-added trio coherent state always appears three-mode sum squeezing while the trio coherent state does not. It also shows that the superposition of three-mode photon-added trio coherent state is genuinely entangled. The entanglement degree of this state is more improved compared with the trio coherent state. It becomes bigger and bigger through nonlocally increasing the number of added photons.

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References

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

    ADS  Google Scholar 

  2. Dodonov, V.V.: J. Opt. B: Quantum Semiclass. Opt. 4, R1 (2002)

    ADS  MathSciNet  Google Scholar 

  3. Kiesel, T., Vogel, W., Bellini, M., Zavatta, A.: Phys. Rev. A 83, 032116 (2011)

    ADS  Google Scholar 

  4. Hu, L.Y., Jia, F., Zhang, Z.M.: J. Opt. Soc. Am. B 29, 1456 (2012)

    ADS  Google Scholar 

  5. Li, G., Wu, S., Huang, G.: Phys. Lett. A 303, 11 (2002)

    ADS  MathSciNet  Google Scholar 

  6. Anno, F.D., Siena, S.D., Illuminati, F.: Phys. Rep. 428, 53 (2006)

    ADS  MathSciNet  Google Scholar 

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

    ADS  Google Scholar 

  8. Agarwal, G.S., Pathak, P.K.: Phys. Rev. A 75, 032108 (2007)

    ADS  Google Scholar 

  9. Sanders, B.C.: J. Phys. A: Math. Theor. 45, 244002 (2012)

    ADS  Google Scholar 

  10. Serna, F.A.D., Jimenez, F.J.M., Rojas, F.: Quantum. Inf. Process. 15, 3121 (2016)

    ADS  MathSciNet  Google Scholar 

  11. Duc, T.M., Noh, J.: Opt. Commun. 281, 2842 (2008)

    ADS  Google Scholar 

  12. Wang, S., Hou, L.L., Chen, X.F., Xu, X.F.: Phys. Rev. A 91, 063832 (2015)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  14. Yuan, H., et al.: Int. J. Theor. Phys. 58, 1908 (2019)

    Google Scholar 

  15. Duc, T.M., Dat, T.Q.: Optik 210, 164479 (2020)

    ADS  Google Scholar 

  16. Dodonov, V.V., et al.: Quantum Semiclass. Opt. 8, 413 (1996)

    ADS  Google Scholar 

  17. Marek, P., Jeong, H., Kim, M.S.: Phys. Rev. A 78, 063811 (2008)

    ADS  Google Scholar 

  18. Zhang, J.S., Xu, J.B.: Phys. Scr. 79, 025008 (2009)

    ADS  Google Scholar 

  19. Lee, S.Y., Ji, S.W., Kim, H.J., Nha, H.: Phys. Rev. A 84, 012302 (2011)

    ADS  Google Scholar 

  20. Nogueira, K., Silva, J.B.R., Gonçalves, J. R., Vasconcelos, H.M.: Phys. Rev. A 87, 043821 (2013)

    ADS  Google Scholar 

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

    Google Scholar 

  22. Fiurášek, J.: Phys. Rev. A 65, 053818 (2002)

    ADS  Google Scholar 

  23. Wu, J., et al.: J. Opt. Soc. Am. B 32, 2299 (2015)

    ADS  Google Scholar 

  24. Lee, S.Y., Nha, H.: Phys. Rev. A 85, 043816 (2012)

    ADS  Google Scholar 

  25. Lee, S.Y., Ji, S.W., Kim, H.J., Nha, H.: Phys. Rev. A 84, 012302 (2011)

    ADS  Google Scholar 

  26. Hu, L.Y., Zhang, Z.M.: J. Opt. Soc. Am. B 30, 518 (2013)

    ADS  Google Scholar 

  27. Yang, Y.: J. Opt. Soc. Am. B 33, 2545 (2016)

    ADS  Google Scholar 

  28. Thapliyal, K., Samantray, N.L., Banerji, J., Pathak, A.: Phys. Lett. A 381, 37 (2017)

    Google Scholar 

  29. Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)

    ADS  MathSciNet  Google Scholar 

  30. An, N.B., Kim, J.: J. Phys. B: At. Mol. Opt. Phys. 41, 095501 (2008)

    ADS  Google Scholar 

  31. Máttar, A., et al.: Quantum Sci. Technol. 2, 015011 (2017)

    ADS  Google Scholar 

  32. Moreno, M.G.M., Fonseca, A., Cunha, M.M.: Quan. Inf. Proc. 17, 191 (2018)

    Google Scholar 

  33. An, N.B., Duc, T.M.: J. Opt. B: Quantum Semiclass. Opt. 4, 80 (2002)

    ADS  MathSciNet  Google Scholar 

  34. An, N.B.: J. Opt. B: Quantum Semiclass. Opt. 4, 222 (2002)

    ADS  Google Scholar 

  35. Duc, T.M., Noh, J., Kim, K.: Adv. Nat. Sci. 9, 123 (2008)

    Google Scholar 

  36. Duc, T.M., Dat, T.Q., An, N.B., Kim, J.: Phys. Rev. A 88, 022320 (2013)

    ADS  Google Scholar 

  37. Kalaga, J.K., Leonśki: . W., Peřina, J. J.: Phys. Rev. A 97, 042110 (2018)

    ADS  Google Scholar 

  38. Namekata, N., et al.: Nat. Photon. 4, 655 (2010)

    ADS  Google Scholar 

  39. Hoai, N.T.X., Duc, T.M.: Int. J. Mod. Phys. B 30, 1650032 (2016)

    ADS  Google Scholar 

  40. Ziane, M., Baz, M.E.: Quant. Inf. Proc. 17, 196 (2018)

    Google Scholar 

  41. Schnabel, R.: Phys. Rep. 684, 1 (2017)

    ADS  MathSciNet  Google Scholar 

  42. Aasi, J., et al.: Nat. Photon. 7, 613 (2013)

    ADS  Google Scholar 

  43. Duc, T.M., Hoai, N.T.X., An, N.B.: Int. J. Theor. Phys. 53, 899 (2014)

    Google Scholar 

  44. Duc, T.M., Dinh, D.H., Dat, T.Q.: Int. J. Theor. Phys. 55, 3027 (2016)

    Google Scholar 

  45. Miry, S.R., Tavassoly, M.K.: J. Phys. B: At. Mol. Opt. Phys. 45, 175502 (2012)

    ADS  Google Scholar 

  46. Duc, T.M., Dinh, D.H., Dat, T.Q.: J. Phys. B: At. Mol. Opt. Phys. 53, 025402 (2020)

    ADS  Google Scholar 

  47. Braustein, S.L., Loock, P.V.: Rev. Mod. Phys. 77, 513 (2005)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  49. Agarwal, G.S., Biswas, A.: J. Opt. B: Quantum Semiclass. Opt. 7, 350 (2005)

    ADS  MathSciNet  Google Scholar 

  50. Heo, J., Hong, C., Choi, S.G., Hong, J.P.: Sci. Rep. 9, 10151 (2019)

    ADS  Google Scholar 

Download references

Acknowledgments

This research is funded by Vietnam Ministry of Education and Training (MOET) under grant number B2019-DHH-12.

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Authors and Affiliations

  1. Center for Theoretical and Computational Physics, University of Education, Hue University, Hue, Vietnam

    Tran Quang Dat & Truong Minh Duc

  2. University of Transport and Communications, No.3 Cau Giay Street, Lang Thuong Ward, Dong Da District, Hanoi, Vietnam

    Tran Quang Dat

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  1. Tran Quang Dat
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  2. Truong Minh Duc
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Correspondence to Truong Minh Duc.

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Dat, T.Q., Duc, T.M. Nonclassical Properties of the Superposition of Three-Mode Photon-Added Trio Coherent State. Int J Theor Phys 59, 3206–3216 (2020). https://doi.org/10.1007/s10773-020-04573-3

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  • DOI: https://doi.org/10.1007/s10773-020-04573-3

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