Advertisement

Perfect Quantum State Transfer in Glauber-Fock Cavity Array

  • Nilakantha MeherEmail author
Article

Abstract

We study transfer of single photon in an one-dimensional finite Glauber-Fock cavity array whose coupling strengths satisfy a square root law. The evolved state in the array can be mapped to an upper truncated coherent state if the cavities are resonant. Appropriate choices of resonance frequencies provide perfect transfer of a photon between any two cavities in the array. Perfect transfer of the photon allows perfect quantum state transfer between the cavities. Our findings may help in realizing quantum communication and information processing in photonic lattices.

Keywords

Glauber-Fock array Photon transfer Quantum state transfer 

Notes

Acknowledgements

NM acknowledges Indian Institute of Technology Kanpur for postdoctoral fellowship.

Compliance with Ethical Standards

Conflict of interests

The authors declare that they have no conflict of interest.

References

  1. 1.
    Bose, S.: . Phys. Rev. Lett. 91, 207901 (2003)CrossRefADSGoogle Scholar
  2. 2.
    Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: . Phys. Rev. Lett. 78, 3221 (1997)CrossRefADSGoogle Scholar
  3. 3.
    Meher, N., Sivakumar, S., Panigrahi, P.K.: . Sci. Rep. 7(1), 9251 (2017)CrossRefADSGoogle Scholar
  4. 4.
    Bose, S., Angelakis, D.G., Burgarth, D.: . J. Mod. Opt. 54(13-15), 2307 (2007)CrossRefADSGoogle Scholar
  5. 5.
    Chapman, R.J., Santandrea, M., Huang, Z., Corrielli, G., Crespi, A., Yung, M.H., Osellame, R., Peruzzo, A.: . Nat. Commun. 7, 11339 (2016)CrossRefADSGoogle Scholar
  6. 6.
    Christandl, M., Datta, N., Dorlas, T.C., Ekert, A., Kay, A., Landahl, A.J.: . Phys. Rev. A 71, 032312 (2005)CrossRefADSGoogle Scholar
  7. 7.
    Christandl, M., Datta, N., Ekert, A., Landahl, A.J.: . Phys. Rev. Lett. 92, 187902 (2004)CrossRefADSGoogle Scholar
  8. 8.
    Almeida, G.M.A., Ciccarello, F., Apollaro, T.J.G., Souza, A.M.C.: . Phys. Rev. A 93, 032310 (2016)CrossRefADSGoogle Scholar
  9. 9.
    Hu, Z.D., Zhang, Y.Q., Xu, J.B.: . J. Phys. A Math. Theor. 44(42), 425303 (2011)CrossRefGoogle Scholar
  10. 10.
    Jian, L., Jian, Z., Bin, S.: . Commun. Theor. Phys. 50(6), 1312 (2008)CrossRefGoogle Scholar
  11. 11.
    Reiserer, A., Rempe, G.: . Rev. Mod. Phys. 87, 1379 (2015)CrossRefADSGoogle Scholar
  12. 12.
    Northup, T.E., Blatt, R.: . Nat. Photonics 8, 356 (2014)CrossRefADSGoogle Scholar
  13. 13.
    Zhong, Z.R.: . Sci. Rep. 6(1), 8 (2016)CrossRefGoogle Scholar
  14. 14.
    Lyakhov, A., Bruder, C.: . New J. Phys. 7, 181 (2005)CrossRefADSGoogle Scholar
  15. 15.
    Picó-Cortés, J., Gallego-Marcos, F., Platero, G.: . Phys. Rev. B 99, 155421 (2019)CrossRefADSGoogle Scholar
  16. 16.
    Li, J., Wu, S.H., Zhang, W.W., Xi, X.Q.: . Chinese Physics B 20(10), 100308 (2011)CrossRefADSGoogle Scholar
  17. 17.
    Liu, Y., Zhou, D.L.: . New J. Phys. 17(1), 013032 (2015)CrossRefADSGoogle Scholar
  18. 18.
    Ogden, C.D., Irish, E.K., Kim, M.S.: . Phys. Rev. A 78, 063805 (2008)CrossRefADSGoogle Scholar
  19. 19.
    Perez-Leija, A., Keil, R., Moya-Cessa, H., Szameit, A., Christodoulides, D.N.: . Phys. Rev. A 87, 022303 (2013)CrossRefADSGoogle Scholar
  20. 20.
    Perez-Leija, A., Keil, R., Kay, A., Moya-Cessa, H., Nolte, S., Kwek, L.C., Rodriguez-Lara, B.M., Szameit, A., Christodoulides, D.N.: . Phys. Rev. A 87, 012309 (2013)CrossRefADSGoogle Scholar
  21. 21.
    Yung, M.H., Bose, S.: . Phys. Rev. A 71, 032310 (2005)CrossRefADSGoogle Scholar
  22. 22.
    de Moraes Neto, G.D., Andrade, F.M., Montenegro, V., Bose, S.: . Phys. Rev. A 93, 062339 (2016)CrossRefADSGoogle Scholar
  23. 23.
    Hua, M., Tao, M.J., Deng, F.G.: . Sci. Rep. 6, 22037 (2016)CrossRefADSGoogle Scholar
  24. 24.
    Leonski, W., Miranowicz, A.: . Journal of Optics B: Quantum and Semiclassical Optics 6(3), S37 (2004)CrossRefADSGoogle Scholar
  25. 25.
    Liew, T.C.H., Savona, V.: . New J. Phys. 15(2), 025015 (2013)CrossRefADSMathSciNetGoogle Scholar
  26. 26.
    Browne, D.E., Plenio, M.B.: . Phys. Rev. A 67, 012325 (2003)CrossRefADSGoogle Scholar
  27. 27.
    Miry, S.R., Tavassoly, M.K., Roknizadeh, R.: . Quantum Inf. Process 14 (2), 593 (2015)CrossRefADSMathSciNetGoogle Scholar
  28. 28.
    Yurke, B., Stoler, D.: . Phys. Rev. Lett. 57, 13 (1986)CrossRefADSGoogle Scholar
  29. 29.
    Rojan, K., Reich, D.M., Dotsenko, I., Raimond, J.M., Koch, C.P., Morigi, G.: . Phys. Rev. A 90, 023824 (2014)CrossRefADSGoogle Scholar
  30. 30.
    Wei, W., Guang-can, G.: . Acta Physica Sinica (Overseas Edition) 7(3), 174 (1998)CrossRefADSGoogle Scholar
  31. 31.
    Wang, Y., Wan, J., Zou, B., Zhang, J., Zhu, Y.: . Journal of Physics: Conference Series 414(1), 012001 (2013)Google Scholar
  32. 32.
    Meher, N., Sivakumar, S.: . J. Opt. Soc. Am. B 33(6), 1233 (2016)CrossRefADSGoogle Scholar
  33. 33.
    Schmidt, S., Gerace, D., Houck, A.A., Blatter, G., Türeci, H. E.: . Phys. Rev. B 82, 100507 (2010)CrossRefADSGoogle Scholar
  34. 34.
    Imamoglu, A., Schmidt, H., Woods, G., Deutsch, M.: . Phys. Rev. Lett. 79, 1467 (1997)CrossRefADSGoogle Scholar
  35. 35.
    Birnbaum, K.M., Boca, A., Miller, R., Boozer, A.D., Northup, T.E., Kimble, H.J.: . Nature 436, 87 (2005)CrossRefADSGoogle Scholar
  36. 36.
    Tang, J., Geng, W., Xu, X.: . Sci. Rep. 5, 9252 (2015)CrossRefADSGoogle Scholar
  37. 37.
    Shen, H.Z., Zhou, Y.H., Yi, X.X.: . Phys. Rev. A 91, 063808 (2015)CrossRefADSGoogle Scholar
  38. 38.
    Miranowicz, A., Bajer, J.c.v., Paprzycka, M., Liu, Y.x., Zagoskin, A.M., Nori, F.: . Phys. Rev. A 90, 033831 (2014)CrossRefADSGoogle Scholar
  39. 39.
    Zhou, L., Gong, Z.R., Liu, Y.x., Sun, C.P., Nori, F.: . Phys. Rev. Lett. 101, 100501 (2008)CrossRefADSGoogle Scholar
  40. 40.
    Qin, W., Nori, F.: . Phys. Rev. A 93, 032337 (2016)CrossRefADSGoogle Scholar
  41. 41.
    Perez-Leija, A., Moya-Cessa, H., Szameit, A., Christodoulides, D.N.: . Opt. Lett. 35(14), 2409 (2010)CrossRefADSGoogle Scholar
  42. 42.
    Longhi, S., Szameit, A.: . Journal of Physics: Condensed Matter 25(3), 035603 (2012)ADSGoogle Scholar
  43. 43.
    Rai, A., Angelakis, D.G.: . J. Opt. 21(6), 065201 (2019)CrossRefADSGoogle Scholar
  44. 44.
    Keil, R., Perez-Leija, A., Aleahmad, P., Moya-Cessa, H., Nolte, S., Christodoulides, D.N., Szameit, A.: . Opt. Lett. 37(18), 3801 (2012)CrossRefADSGoogle Scholar
  45. 45.
    Gerry, C., Knight, P.: Introductory Quantum Optics. Cambridge University Press (2004)Google Scholar
  46. 46.
    Gradshteyn, I.S., Ryzhik, I.M.: Table of Integral, Series and Products. Academic Press, USA (2000)zbMATHGoogle Scholar
  47. 47.
    Kuang, L.M., Wang, F.B., Zhou, Y.G.: . J. Mod. Opt. 41(7), 1307 (1994)CrossRefADSGoogle Scholar
  48. 48.
    Miranowicz, A., Piaa̧tek, K., Tanaś, R.: . Phys. Rev. A 50, 3423 (1994)CrossRefADSGoogle Scholar
  49. 49.
    Meher, N., Sivakumar, S.: . Quantum Inf. Process 17(9), 233 (2018)CrossRefADSGoogle Scholar
  50. 50.
    Vignolini, S., Riboli, F., Wiersma, D.S., Balet, L., Li, L.H., Francardi, M., Gerardino, A., Fiore, A., Gurioli, M., Intonti, F.: . Applied Physics Letters 96(14), 141114 (2010).  https://doi.org/10.1063/1.3378690 ADSCrossRefGoogle Scholar
  51. 51.
    Hopman, W.C.L., Hollink, A.J.F., de Ridder, R.M., van der Werf, K.O., Subramaniam, V., Bogaerts, W.: . Opt. Express 14(19), 8745 (2006)CrossRefADSGoogle Scholar
  52. 52.
    Cai, T., Bose, R., Solomon, G.S., Waks, E.: . Applied Physics Letters 102(14), 141118 (2013).  https://doi.org/10.1063/1.4802238 ADSCrossRefGoogle Scholar
  53. 53.
    Hafezi, M., Demler, E.A., Lukin, M.D., Taylor, J.M.: . Nat. Phys. 7, 907 (2011)CrossRefGoogle Scholar
  54. 54.
    Carmichael, H.J.: Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations. Springer (1999)Google Scholar
  55. 55.
    Lindblad, G.: . Commun. Math. Phys. 48, 195452 (1976)CrossRefGoogle Scholar
  56. 56.
    Arévalo-Aguilar, L.M., Moya-Cessa, H.: . Quantum and Semiclassical Optics: Journal of the European Optical Society Part B 10(5), 671 (1998)CrossRefADSMathSciNetGoogle Scholar
  57. 57.
    Mufti, A., Schmitt, H.A., Balantekin, A.B., Sargent, M.: . J. Opt. Soc. Am. B 10(11), 2100 (1993)CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Indian Institute of Technology KanpurUttarIndia

Personalised recommendations