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Effect of spontaneously generated coherence on the dynamics of a four level N-system

  • Niharika Singh
  • Richard D’SouzaEmail author
  • Quissen V. Lawande
  • Bhagawantrao Narasin Jagatap
Regular Article

Abstract

Effect of spontaneously generated coherence (SGC) on the optical response of a medium of four-level atoms in N-configuration with near degenerate ground or excited levels is investigated. Analytical expressions valid for arbitrary interaction parameters are obtained for the first and third order susceptibilities, and are used to discuss linear and nonlinear absorption and Kerr nonlinearity. SGC is observed to enhance the Kerr nonlinearity while decreasing or increasing the linear/nonlinear absorption depending on the Rabi frequencies and detuning. Model system with closely spaced excited levels is found to exhibit gigantic Kerr nonlinearity accompanied by amplification in the linear and non-linear regimes. Role of SGC on the Doppler averaged linear/nonlinear absorption spectra is studied to reveal narrowing of electromagnetic induced transparency/absorption (EIT/EIA), and transformation of EIT into EIA. Results are discussed in terms of the buildup of extra coherences due to the presence of two SGC channels.

Keywords

Quantum Optics 

References

  1. 1.
    E. Arimondo, in Progress in optics, edited by E. Wolf (Elsevier, Amsterdam, 1996), Vol. XXXV, Chap. V, p. 258Google Scholar
  2. 2.
    J.P. Marangos, J. Mod. Opt. 45, 471 (1998)ADSCrossRefGoogle Scholar
  3. 3.
    J. Javanainen, Europhys. Lett. 17, 407 (1992) and references thereinADSCrossRefGoogle Scholar
  4. 4.
    S.-Y. Zhao, R.C.F. Chan, C.P. Lee, Phys. Rev. A 52, 710 (1995)ADSCrossRefGoogle Scholar
  5. 5.
    Z. Ficek, B.J. Dalton, P.L. Knight, Phys. Rev. A 51, 4062 (1995)ADSCrossRefGoogle Scholar
  6. 6.
    S. Menon, G.S. Agarwal, Phys. Rev. A 57, 4014 (1998)ADSCrossRefGoogle Scholar
  7. 7.
    M.A. Anton, O.G. Calderon, F. Carreno, Phys. Rev. A 72, 023809 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    I. Gonzalo, M.A. Anton, F. Carreno, O.G. Calderon, Phys. Rev. A 72, 033809 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    B.-Q. Ou, L.-M. Liang, C.-Z. Li, J. Phys. B: At. Mol. Opt. Phys. 42, 205503 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, X. Chen, Phys. Rev. A 69, 043814 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    Y. Bai, H. Guo, D. Han, H. Sun, J. Opt. B: Quantum Semiclass. Opt. 7, 35 (2005)ADSCrossRefGoogle Scholar
  12. 12.
    J.-H. Wu, J.-Y. Gao, Phys. Rev. A 65, 063807 (2005)ADSCrossRefGoogle Scholar
  13. 13.
    D.B. Arbiv, A.D.W. Gordon, H. Friedmann, Phys. Rev. A 63, 043818 (2001)ADSCrossRefGoogle Scholar
  14. 14.
    F. Carreno, O.G. Calderon, M.A. Anton, I. Gonzalo, Phys. Rev. A 71, 063805 (2005)ADSCrossRefGoogle Scholar
  15. 15.
    D. Wang, Y. Zheng, Phys. Rev. A 83, 013810 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    K.I. Osman, S.S. Hassan, A. Joshi, Eur. Phys. J. D 54, 119 (2009)ADSCrossRefGoogle Scholar
  17. 17.
    Y. Yang, J. Xu, H. Chen, S. Zhu, Phys. Rev. Lett. 100, 043601 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    M. Sahrai, S.H. Asadpour, H. Mahrami, R. Sadighi-Bonabi, J. Lumin. 131, 1682 (2011)CrossRefGoogle Scholar
  19. 19.
    J.W. Gao, Q.Q. Bao, R.G. Wan, C.L. Cui, J.H. Wu, Phys. Rev. A 83, 053815 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    Z.-H. Tang, G.-X. Li, J. Phys. B: At. Mol. Opt. Phys. 45, 165501 (2012)ADSCrossRefGoogle Scholar
  21. 21.
    C.-L. Wang, A.-J. Li, X.-Y. Zhou, Z.-H. Kang, J. Yun, J.-Y. Gao, Opt. Lett. 33, 687 (2008)ADSCrossRefGoogle Scholar
  22. 22.
    S.-C. Tian, C.-L. Wang, C.-Z. Tong, L.-J. Wang, H.-H. Wang, X.-B. Yang, Z.-H. Kang, J.-Y. Gao, Opt. Express 20, 23559 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    S.-C. Tian, Z.-H. Kang, C.-L. Wang, R.-G. Wan, J. Kou, H. Zhang, Y. Jiang, H.-N. Cui, J.-Y. Gao, Opt. Commun. 285, 294 (2012)ADSCrossRefGoogle Scholar
  24. 24.
    Q.A. Turchette, C.J. Hood, W. Lange, H. Mabuchi, H.J. Kimble, Phys. Rev. Lett. 75, 4710 (1995)MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    V. Tikhonenko, J. Christou, B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996)ADSCrossRefGoogle Scholar
  26. 26.
    S.E. Harris, Y. Yamamoto, Phys. Rev. Lett. 81, 3611 (1998)ADSCrossRefGoogle Scholar
  27. 27.
    S.E. Harris, L.V. Hau, Phys. Rev. Lett. 82, 4611 (1999)ADSCrossRefGoogle Scholar
  28. 28.
    M.D. Lukin, A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000)ADSCrossRefGoogle Scholar
  29. 29.
    C. Hang, Y. Li, L. Ma, G. Huang, Phys. Rev. A 74, 012319 (2006)ADSCrossRefGoogle Scholar
  30. 30.
    Y. Niu, S. Gong, Phys. Rev. A 73, 053811 (2006)ADSCrossRefGoogle Scholar
  31. 31.
    W.-J. Jiang, X. Yan, J.-P. Song, H.-B. Zheng, C. Wua, B.-Y. Yin, Y. Zhang, Opt. Commun. 282, 101 (2009)ADSCrossRefGoogle Scholar
  32. 32.
    Y. Du, K. Jin, J. Zhang, J. At. Mol. Opt. Phys. 2009, article ID 382764 (2009), doi:10.1155/2009/382764
  33. 33.
    X.-A. Yan, L.-Q. Wang, B.-Y. Yin, W.-J. Jiang, H.-B. Zheng, J.-P. Song, Y.-P. Zhang, Phys. Lett. A 372, 6456 (2008)ADSzbMATHCrossRefGoogle Scholar
  34. 34.
    X.-A. Yan, L.-Q. Wang, B.-Y. Yin, W.-J. Jiang, J.-P. Song, J. Opt. Soc. Am. B 26, 1862 (2009)ADSCrossRefGoogle Scholar
  35. 35.
    S.H. Asadpour, M. Sahrai, A. Soltani, H.R. Hamedi, Phys. Lett. A 376, 147 (2012)ADSzbMATHCrossRefGoogle Scholar
  36. 36.
    C. Hang, G. Huang, J. Opt. Soc. Am. B 29, 2009 (2012)ADSCrossRefGoogle Scholar
  37. 37.
    H.R. Hamedi, S.H. Asadpour, M. Sahrai, Optik 124, 366 (2013)ADSCrossRefGoogle Scholar
  38. 38.
    C. Hang, G. Huang, Opt. Express 18, 2952 (2010)ADSCrossRefGoogle Scholar
  39. 39.
    G. Vemuri, G.S. Agarwal, B.D. Nageswara Rao, Phys. Rev. A 53, 2842 (1996)ADSCrossRefGoogle Scholar
  40. 40.
    C. Goren, A.D. Wilson-Gordon, M. Rosenbluh, H. Friedmann, Phys. Rev. A 67, 033807 (2003)ADSCrossRefGoogle Scholar
  41. 41.
    C. Goren, A.D. Wilson-Gordon, M. Rosenbluh, H. Friedmann, Phys. Rev. A 69, 053818 (2004)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Niharika Singh
    • 1
  • Richard D’Souza
    • 2
    Email author
  • Quissen V. Lawande
    • 2
  • Bhagawantrao Narasin Jagatap
    • 1
    • 2
  1. 1.Homi Bhabha National InstituteBhabha Atomic Research CentreMumbaiIndia
  2. 2.Atomic & Molecular Physics DivisionMumbaiIndia

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