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Optical-assisted Photon Blockade in a Cavity System via Parametric Interactions

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Abstract

In reference Sarma and Sarma (Phys. Rev. A 96, 053827, 2017), the photon blockade is studied in a driven cavity via parametric interaction. In this paper, we extend this work and study the influence of the phase of the driving lase to the photon blockade. The conditions for optimized photon anti-bunching are presenting with the phase of the driving lase. By the calculations of the second-order correlation function, we find that the photon blockade is strongly sensitive to the amplitude and the phase of the driving laser. Further, the results of the numerical calculations verify the above analysis. This simple scheme provides an effective way for potential applications in photon manipulation and quantum computation.

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References

  1. Shields, A.J.: Nat. Photon. 1, 215 (2007)

    ADS  Google Scholar 

  2. Scarani, V., Bechmann-Pasquinucci, H., Cerf, N.J., Dušek, M., Lütkenhaus, N., Peev, M.: Rev. Mod. Phys. 81, 1301 (2009)

    ADS  Google Scholar 

  3. Yao, P., Manga Rao, V.S.C., Hughes, S.: Laser Photonics Rev. 4, 499 (2009)

    ADS  Google Scholar 

  4. Kiraz, A., Atatüre, M., Imamoǧlu, A.: Phys. Rev. A 69, 032305 (2004)

    ADS  Google Scholar 

  5. Gregersen, N., Kaer, P., Mørk, J.: Top. Quantum Electron. 19, 1 (2013)

    Google Scholar 

  6. Lounis, B., Orrit, M.: Rep. Prog. Phys. 68, 1129 (2005)

    ADS  Google Scholar 

  7. Buckley, S., Rivoire, K., Vučković, J.: Rep. Prog. Phys. 75, 126503 (2012)

    ADS  Google Scholar 

  8. Imamoglu, A., Schmidt, H., Woods, G., Deutsch, M.: Phys. Rev. Lett. 79, 1467 (1997)

    ADS  Google Scholar 

  9. Fulton, T.A., Dolan, G.J.: Phys. Rev. Lett. 59, 109 (1987)

    ADS  Google Scholar 

  10. Rabl, P.: Phys. Rev. Lett. 107, 063601 (2011)

    ADS  Google Scholar 

  11. McKeever, J., et al.: Science 303, 1992 (2004)

    ADS  Google Scholar 

  12. Hijlkema, M., et al.: Nat. Phys. 3, 253 (2007)

    Google Scholar 

  13. Wilk, T., Webster, S.C., Kuhn, A., Rempe, G.: Science 317, 488 (2007)

    ADS  Google Scholar 

  14. Dayan, B., et al.: Science 319, 1062 (2008)

    ADS  Google Scholar 

  15. Majumdar, A., Gerace, D.: Phys. Rev. B 87, 235319 (2013)

    ADS  Google Scholar 

  16. Shen, H.Z., Zhou, Y.H., Yi, X.X.: Phys. Rev. A 90, 023849 (2014)

    ADS  Google Scholar 

  17. Lee, T.E., Cross, M.C.: Phys. Rev. A 88, 013834 (2013)

    ADS  Google Scholar 

  18. Schmidt, M., Ludwig, M., Marquardt, F.: New J. Phys. 14, 125005 (2012)

    ADS  Google Scholar 

  19. Stannigel, K., Rabl, P., Sørensen, A.S., Zoller, P., Lukin, M.D.: Phys. Rev. Lett. 105, 220501 (2010)

    ADS  Google Scholar 

  20. Safavi-Naeini, A.H., Painter, O.: New J. Phys. 13, 013017 (2011)

    ADS  Google Scholar 

  21. Miranowicz, A., Paprzycka, M., Liu, Y., Bajer, J., Nori, F.: Phys. Rev. A 87, 023809 (2013)

    ADS  Google Scholar 

  22. Hovsepyan, G.H., Shahinyan, A.R., Kryuchkyan, G.Y.: Phys. Rev. A 93, 043856 (2016)

    ADS  Google Scholar 

  23. Deng, W.W., Li, G.X., Qin, H.: Phys. Rev. A 91, 043831 (2015)

    ADS  Google Scholar 

  24. Huang, R., Miranowicz, A., Liao, J.Q., Nori, F., Jing, H.: Phys. Rev. Lett. 121, 153601 (2018)

    ADS  Google Scholar 

  25. Birnbaum, K.M., Boca, A., Miller, R., Boozer, A.D., Northup, T.E.: H J.Kimble, Nature (London) 436, 87 (2005)

    ADS  Google Scholar 

  26. Liew, T.C.H., Savona, V.: Phys. Rev. Lett. 104, 183601 (2010)

    ADS  Google Scholar 

  27. Flayac, H., Savona, V.: Phys. Rev. A 94, 013815 (2016)

    ADS  Google Scholar 

  28. Bamba, M., Imamoǧlu, A., Carusotto, I., Ciuti, C.: Phys. Rev. A 83 (R), 021802 (2011)

    ADS  Google Scholar 

  29. Xu, X.W., Li, Y.: Phys. Rev. A 90, 043822 (2014)

    ADS  Google Scholar 

  30. Carusotto, I., Ciuti, C.: Rev. Mod. Phys. 85, 299 (2013)

    ADS  Google Scholar 

  31. Xu, X.W., Li, Y.: Phys. Rev. A 90, 033832 (2014)

    ADS  Google Scholar 

  32. Shen, J.T., Fan, S.H.: Phys. Rev. Lett. 98, 153003 (2007)

    ADS  Google Scholar 

  33. Xu, X.W., Li, Y.: Phys. Rev. A 90, 033809 (2014)

    ADS  Google Scholar 

  34. Liew, T.C.H., Savona, V.: New J. Phys. 15, 025015 (2013)

    ADS  MathSciNet  Google Scholar 

  35. Majumdar, A., Bajcsy, M., Rundquist, A., Vučković, J.: Phys. Rev. Lett. 108, 183601 (2012)

    ADS  Google Scholar 

  36. Flayac, H., Savona, V.: Phys. Rev. A 96, 053810 (2017)

    ADS  Google Scholar 

  37. Zhang, W., Yu, Z.Y., Liu, Y.M., Peng, Y.W.: Phys. Rev. A 89, 043832 (2014)

    ADS  Google Scholar 

  38. Tang, J., Geng, W.D., Xu, X.L.: Sci. Rep. 5, 9252 (2015)

    ADS  Google Scholar 

  39. Bamba, M., Ciuti, C.: Appl. Phys. Lett. 99, 171111 (2011)

    ADS  Google Scholar 

  40. Kyriienko, O., Shelykh, I.A., Liew, T.C.H.: Phys. Rev. A 90, 033807 (2014)

    ADS  Google Scholar 

  41. Liew, T.C.H., Savona, V.: Phys. Rev. A 85, 050301(R) (2012)

    ADS  Google Scholar 

  42. Shen, H.Z., Zhou, Y.H., Yi, X.X.: Phys. Rev. A 91, 063808 (2015)

    ADS  Google Scholar 

  43. Flayac, H., Gerace, D., Savona, V.: Sci. Rep. 5, 11223 (2015)

    ADS  Google Scholar 

  44. Shen, H.Z., Zhou, Y.H., Liu, H.D., Wang, G.C., Yi, X.X.: Opt. Exp. 23, 032835 (2015)

    Google Scholar 

  45. Zhou, Y.H., Shen, H.Z., Yi, X.X.: Phys. Rev. A 92, 023838 (2015)

    ADS  Google Scholar 

  46. Shen, H.Z., Xu, S., Zhou, Y.H., Wang, G.C., Yi, X.X.: J. Phys. B 51, 035503 (2018)

    ADS  Google Scholar 

  47. Zhou, Y.H., Shen, H.Z., Shao, X.Q., Yi, X.X.: Opt. Express 24, 17332 (2016)

    ADS  Google Scholar 

  48. Flayac, H., Savona, V.: Phys. Rev. A 88, 033836 (2013)

    ADS  Google Scholar 

  49. Gerace, D., Savona, V.: Phys. Rev. A 89, 031803(R) (2014)

    ADS  Google Scholar 

  50. Ferretti, S., Savona, V., Gerace, D.: New J. Phys. 15, 025012 (2013)

    ADS  Google Scholar 

  51. Kyriienko, O., Liew, T.C.H.: Phys. Rev. A 90, 063805 (2014)

    ADS  Google Scholar 

  52. Sarma, B., Sarma, A.K.: Phys. Rev. A 96, 053827 (2017)

    ADS  Google Scholar 

  53. Zou, F., Lai, D.G., Liao, J.Q.: arXiv:1803.06642 (2018)

  54. Zhou, Y.H., Shen, H.Z., Zhang, X.Y., Yi, X.X.: Phys. Rev. A. 97, 043819 (2018)

    ADS  Google Scholar 

  55. Xu, X.W., Li, Y.J.: J. Opt. B:, At. Mol. Opt. Phys. 46, 035502 (2013)

    ADS  Google Scholar 

  56. Savona, V.: arXiv:1302.5937 v2 (2013)

  57. Dufferwiel, S., Fras, F., Trichet, A., Walker, P.M., Li, F., Giriunas, L., Makhonin, M.N., Wilson, L.R., Smith, J.M., Clarke, E., Skolnick, M.S., Krizhanovskii, D.N.: Appl. Phys. Lett. 104, 192107 (2014)

    ADS  Google Scholar 

  58. Shen, H.Z., Shang, C., Zhou, Y.H., Yi, X.X.: Phys. Rev. A. 98, 023856 (2018)

    ADS  Google Scholar 

  59. Lemonde, M.A., Didier, N., Clerk, A.A.: Phys. Rev. A 90, 063824 (2014)

    ADS  Google Scholar 

  60. Leghtas, Z., Touzard, S., Pop, I.M., Kou, A., Vlastakis, B., Petrenko, A., Sliwa, K.M., Narla, A., Shankar, S., Hatridge, M.J., Reagor, M., Frunzio, L., Schoelkopf, R.J., Mirrahimi, M., Devoret, M.H.: Science 347, 853 (2015)

    ADS  Google Scholar 

  61. Adiyatullin, A.F., Anderson, M.D., Flayac, H., Portella- Oberli, M.T., Jabeen, F., Ouellet-Plamondon, C., Sallen, G.C., Deveaud, B.: Nat. Commun. 8, 1329 (2017)

    ADS  Google Scholar 

  62. Clerk, A.A., Devoret, M.H., Girvin, S.M., Marquardt, F., Schoelkopf, R.J.: Rev. Mod. Phys. 82, 1155 (2010)

    ADS  Google Scholar 

  63. Boyd, R.W.: Nonlinear Optics. Academic, New York (2008)

    Google Scholar 

  64. Snijders, H.J., Frey, J.A., Norman, J., Flayac, H., Savona, V., Gossard, A.C., Bowers, J.E., van Exter, M.P., Bouwmeester, D., Löffler, W.: Phys. Rev. Lett. 121, 043601 (2018)

    ADS  Google Scholar 

  65. Sarma, B, Sarma, A.K.: Phys. Rev. A 96, 053827 (2017)

    ADS  Google Scholar 

  66. Galbiati, M., Ferrier, L., Solnyshkov, D.D., Tanese, D., Wertz, E., Amo, A., Abbarchi, M., Senellart, P., Sagnes, I., Lemaître, A., Galopin, E., Malpuech, G., Bloch, J.: Phys. Rev. Lett. 108, 126403 (2012)

    ADS  Google Scholar 

  67. Abbarchi, M., Amo, A., Sala, V.G., Solnyshkov, D.D., Flayac, H., Ferrier, L., Sagnes, I., Galopin, E., Lemaître, A., Malpuech, G., Bloch, J.: Nature Phys. 9, 275 (2013)

    ADS  Google Scholar 

  68. Intonti, F., Riboli, F., Caselli, N., Abbarchi, M., Vignolini, S., Wiersma, D.S., Vinattieri, A., Gerace, D., Balet, L., Li, L.H., Francardi, M., Gerardino, A., Fiore, A., Gurioli, M.: Phys. Rev. Lett. 106, 143901 (2011)

    ADS  Google Scholar 

  69. Nation, P.D., Johansson, J.R., Blencowe, M.P., Nori, F.: Rev. Mod. Phys. 84, 1 (2012)

    ADS  Google Scholar 

  70. Knight, P., Gerry, G.: Introductory. Quantum Optics. Cambridge University Press, New York (2005)

    Google Scholar 

  71. Majumdar, A., Kim, E.D., Gong, Y., Bajcsy, M., Vučković: J. Phys. Rev. B 84, 085309 (2011)

    ADS  Google Scholar 

  72. Englund, D., et al.: Phys. Rev. Lett. 108, 093604 (2012)

    ADS  Google Scholar 

  73. Vaneph, C., Morvan, A., Aiello, G., Féchant, M., Aprili, M., Gabelli, J., Estève, J.: arXiv:1801.04227 (2018)

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Acknowledgements

This work is supported by National Natural Science Foundation of China (NSFC) under Grants No.11705025, Science Foundation of the Education Department of Jilin Province during the 13th Five-Year Plan Period (No. JJKH20190262KJ), and Fundamental Research Funds for the Central Universities under No. 2412019FZ044.

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Correspondence to Y. H. Zhou or H. Z. Shen.

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Sun, H.Y., Shang, C., Luo, X.X. et al. Optical-assisted Photon Blockade in a Cavity System via Parametric Interactions. Int J Theor Phys 58, 3640–3650 (2019). https://doi.org/10.1007/s10773-019-04229-x

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