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Dynamics of an Atom Cavity Field System in Interacting Fock Space

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Abstract

In this paper, we investigate one-time passing of a V -type three-level atom through a single-mode interacting field in a cavity. We extend the idea of elementary Jaynes-Cummings model by assuming that the field vector belongs to interacting Fock space. In the process, we arrive at a state vector which will be analyzed to study the nonclassicality of the evolved state of the system.

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References

  1. Agarwal, G.S.: Quantum Optics. Cambridge University Press, Cambridge (2013)

    MATH  Google Scholar 

  2. Das, P.K., Haldar, P.: Infinite dimensional analysis. Quantum Probab. Relat. Top. 16(2), 1769–1778 (2013)

    Google Scholar 

  3. Peng, J.S., Li, G.X., Zhou, P.: . Phys. Rev. A 46(3), 1516 (1992)

    Article  ADS  Google Scholar 

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

    Book  MATH  Google Scholar 

  5. Hillery, M.: . Phys. Rev. A 61(2), 022309 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  6. Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: . Science 282(5389), 706–709 (1998)

    Article  ADS  Google Scholar 

  7. Abbott, B.P., Abbott, R., et al: . Phys. Rev. Lett. 116(6), 061102 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  8. Harry, G.M.: . Class. Quantum Grav. 27(8), 084006 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  9. Grote, H., Danzmann, K., Dooley, K.L., Schnabel, R., Slutsky, J., Vahlbruch, H.: . Phys. Rev. Lett. 110(18), 181101 (2013)

    Article  ADS  Google Scholar 

  10. Zeilinger, A.: . Rev. Mod. Phys. 71, S288 (1998)

    Article  Google Scholar 

  11. Thapliyal, K., Pathak, A., Sen, B., Peřina, J.: . Phys. Rev. A 90(1), 013808 (2014)

    Article  ADS  Google Scholar 

  12. Giri, S., Thapliyal, K., Sen, B., Pathak, A.: Physica A. Stat. Mech. Appl. 466, 140–152 (2017)

    Article  Google Scholar 

  13. Alam, N., Mandal, S.: . Opt. Commun. 359, 221–233 (2016)

    Article  ADS  Google Scholar 

  14. Loudon, R.: . Phys. Bull. 27(1), 21 (1976)

    Article  Google Scholar 

  15. Teich, M.C., Saleh, B.E.A.: . Prog. Opt. 26, 1–104 (1988)

    Article  ADS  Google Scholar 

  16. Pathak, A., Ghatak, A.: . JEWA 32(2), 229–264 (2018)

    Google Scholar 

  17. Alam, N., Verma, A., Pathak, A.: . Phys. Lett. A 382(28), 1842–1851 (2018)

    Article  ADS  Google Scholar 

  18. Lounis, B., Orrit, M.: . Rep. Prog. Phys. 68(5), 1129–1180 (2005)

    Article  ADS  Google Scholar 

  19. Malpani, P., et al: . Opt. Commun. 459, 124964 (2020)

    Article  Google Scholar 

  20. Malpani, P., et al: . Annalen der Physik 532(1), 1900337 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  21. Malpani, P., et al: . Annalen der Physik 531(11), 1900141 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  22. Lee, C.T.: . Rev, Phys. A 42(3), 1608 (1990)

    Article  Google Scholar 

  23. Jaynes, E.T., Cummings, F.W.: . Proc. IEEE 51, 89 (1973)

    Article  Google Scholar 

  24. Stenholm, S.: . Phys. Rep. 6, 1 (1973)

    Article  ADS  Google Scholar 

  25. Eberly, J.H., Narozhny, N.B., Sanchez-Mondragon, J.J.: . Phys. Rev. Lett. 44, 1323 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  26. Bouillard, M., et al: . Opt. Exp. 27(3), 3113 (2019)

    Article  ADS  Google Scholar 

  27. Chatterjee, A.: . J. Mod. Opt. 66(8), 898–908 (2019)

    Article  ADS  Google Scholar 

  28. Accardi, L., Lu, Y.G.: . Commun. Math. Phys. 180, 605–632 (1996)

    Article  ADS  Google Scholar 

  29. Accardi, L., Ku, Y.G., Volvovich, I.: Quantum Theory and its Stochastic Limit. Springer, New York (2001)

    Google Scholar 

  30. Alam, N., Mandal, K., Pathak, A.: . Int. J. Theo. Phys. 57, 3443–3456 (2018)

    Article  Google Scholar 

  31. Fleischhauer, M., Imamoglu, A., Marangos, J.P.: . Rev. Modern Phys. 77, 633 (2005)

    Article  ADS  Google Scholar 

  32. Scully, M.O., Zhu, S.-Y., Gavrielides, A.: . Phys. Rev. Lett. 62, 2813 (1989)

    Article  ADS  Google Scholar 

  33. Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

    Book  Google Scholar 

  34. Sandhya, S.N., Ravishankar, V.: . Phys. Rev. A 82, 062301 (2010)

    Article  ADS  Google Scholar 

  35. Chatterjee, A.: . Phys. Lett. A 376, 1601 (2012)

    Article  ADS  Google Scholar 

  36. Accardi, L., Bozejko, M.: . Inf Dimn. Analy. QP Related Top. 1 (4), 663–670 (1998)

    Article  Google Scholar 

  37. Accardi, L., Das, P.K.: . Int. J. Theo. Phys. 42(11), 2721–2734 (2003)

    Article  Google Scholar 

  38. Accardi, L., Crismale, V., Lu, Y.G.: . Inf Dimn. Analy. QP Related Top. 8(4), 631–650 (2005)

    Article  Google Scholar 

  39. Accardi, L., Kuo, H.H., Stan, A.: . Inf. Dimn. Analy. QP Related Top. 10(4), 591–612 (2007)

    Article  Google Scholar 

  40. Das, P.K.: . QP-PQ: Quantum Probab. White Noise Anal. 18, 141–152 (2005)

    Google Scholar 

  41. Das, P.K.: . Int. J. Theo. Phys. 41(6), 1099–1106 (2002)

    Article  ADS  Google Scholar 

  42. Das, P.K.: . Int. J. Theo. Phys. 41(10), 2013–2024 (2002)

    Article  Google Scholar 

  43. Das, P.K., Haldar, P.: . Mod. Phys. Lett. B 25(21), 1769–1778 (2011)

    Article  ADS  Google Scholar 

  44. Peng, J.S., Li, G.X.: . Phys. Rev. A 45(5), 3289 (1992)

    Article  ADS  Google Scholar 

  45. Mandel, L.: . Opt. Lett. 4(7), 205–207 (1979)

    Article  ADS  Google Scholar 

  46. Cohen-Tannoudji, C., Dupont-Roc, J., Grynberg, G.: Atom–Photon Interactions: Basic Process and Appilcations. Wiley-VCH, New Jersey (1998)

    Book  Google Scholar 

  47. Ghosh, A., Das, P.K.: . Can. J. Phys. 86, 811–818 (2008)

    Article  ADS  Google Scholar 

  48. Li, S.B., Zou, X.B., Guo, G.C.: . Phys. Rev. A 75, 045801 (2007)

    Article  ADS  Google Scholar 

  49. Deng, Z.J., Feng, M., Gao, K.L.: . Phys. Rev. A 73, 014302 (2006)

    Article  ADS  Google Scholar 

  50. Ghosh, A., Das, P.K.: . Int. J. Theo. Phys. 47, 1731–1741 (2008)

    Article  Google Scholar 

  51. Walls, D.F., Milburn, G.J.: Quantum Optics. Springer, Berlin (1994)

    Book  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  53. Wang, X., Sanders, B.C.: . Phys. Rev. A 68, 033821 (2003)

    Article  ADS  Google Scholar 

  54. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: . Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  Google Scholar 

  55. Bennett, C.H., Wiesner, S.J.: . Phys. Rev. Lett. 69, 2881 (1993)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India

    P. K. Das

  2. Department of Mathematics, J. C. Bose University of Science and Technology, YMCA, Faridabad, India

    Arpita Chatterjee

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  1. P. K. Das
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  2. Arpita Chatterjee
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Correspondence to Arpita Chatterjee.

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Das, P., Chatterjee, A. Dynamics of an Atom Cavity Field System in Interacting Fock Space. Int J Theor Phys 60, 954–967 (2021). https://doi.org/10.1007/s10773-021-04718-y

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