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A theoretical scheme for generation of nonlinear coherent states in a micromaser under intensity-dependent Jaynes-Cummings model

  • M. H. NaderiEmail author
  • M. Soltanolkotabi
  • R. Roknizadeh
Quantum Optics and Quantum Information

Abstract.

In this paper we propose a theoretical scheme to show the possibility of generating various families of nonlinear (f-deformed) coherent states of the radiation field in a micromaser. We show that these states can be provided in a lossless micromaser cavity under the weak Jaynes-Cummings interaction with intensity–dependent coupling of large number of individually injected two-level atoms in a coherent superposition of the upper and lower states. In particular, we show that the so-called nonlinear squeezed vacuum and nonlinear squeezed first excited states, as well as the even and odd nonlinear coherent states can be generated in a two-photon micromaser.

Keywords

Radiation Spectroscopy Neural Network State Physics Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. E. Schrödinger, Die Naturwissenschaften 26, 664 (1926)CrossRefGoogle Scholar
  2. R.J. Glauber, Phys. Rev. Lett. 70, 84 (1963); R.J. Glauber, Phys. Rev. 130, 2529 (1963); R.J. Glauber, Phys. Rev. 131, 2766 (1963)CrossRefADSMathSciNetGoogle Scholar
  3. A. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986) Google Scholar
  4. J.R. Klauder, J. Math. Phys. 4, 1055 (1963)CrossRefADSMathSciNetGoogle Scholar
  5. M.H. Nieto, L.M. Simmons Jr., Phys. Rev. Lett. 41, 207 (1978)CrossRefADSGoogle Scholar
  6. L.C. Biedenharn, J. Phys. A: Math. Gen. 22, L873 (1989); A.J. Macfarlane, J. Phys. A: Math. Gen. 22, 4581 (1989)CrossRefzbMATHGoogle Scholar
  7. R.L. de Matos Filho, W. Vogel, Phys. Rev. A 54, 4560 (1996)CrossRefADSGoogle Scholar
  8. V.I. Manko, G. Marmo, E.C.G. Sudarshan, F. Zaccaria, Phys. Scripta 55, 528 (1997)CrossRefADSMathSciNetGoogle Scholar
  9. E.C. Lerner, H.W. Huang, G.E. Walters, J. Math. Phys. 11, 1679 (1970)CrossRefADSMathSciNetGoogle Scholar
  10. Y. Aharonov, H.W. Huang, J.M. Knight, E.C. Lerner, Lett. Nuovo Cim. 2, 1317 (1971)CrossRefGoogle Scholar
  11. G.S. Agarwal, K. Tara, Phys. Rev. A 43, 492 (1991)CrossRefADSGoogle Scholar
  12. B. Roy, Phys. Lett. A 249, 25 (1998); X.G. Wang, H.C. Fu, Mod. Phys. Lett. B 13, 617 (1999); X.G. Wang, Opt. Commun. 178, 365 (2000) zbMATHCrossRefADSMathSciNetGoogle Scholar
  13. D. Meschede, H. Walther, G. Muller, Phys. Rev. Lett. 54, 551 (1985); P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986); F. Diedrich, J. Krause, G. Rempe, M.O. Scully, H. Walther, IEEE J. Quant. Electron. 24, 1314 (1988); S. Haroche, J.M. Raimond, Advances in Atomic and Molecular Physics, edited by D.R. Bates, B. Bederson (Academic Press, New York, 1985), Vol. 20, p. 350; G. Rempe, F. Schmidt-Kaler, H. Walther, Phys. Rev. Lett. 64, 2783 (1990) CrossRefADSGoogle Scholar
  14. J. Krause, M.O. Scully, H. Walther, Phys. Rev. A 36, 4547 (1987)CrossRefADSGoogle Scholar
  15. L.A. Lugiato, M.O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987)CrossRefADSGoogle Scholar
  16. S. Qamar, K. Zaheer, M.S. Zubairy, Opt. Commun. 78, 341 (1990); S. Qamar, M.S. Zubairy, Phys. Rev. A 48, 1559 (1993); Fam le Kein, G.M. Meyer, M.O. Scully, H. Walther, Shi-Yao Zhu, Phys. Rev. A 49, 1367 (1994)CrossRefADSGoogle Scholar
  17. P. Meystre, G. Rempe, H. Walther, Opt. Lett. 13, 1078 (1988)ADSCrossRefGoogle Scholar
  18. J.J. Slosser, P. Meystre, Phys. Rev. A 41, 3867 (1990)CrossRefADSGoogle Scholar
  19. E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)CrossRefGoogle Scholar
  20. B. Buck, C.V. Sukumar, Phys. Lett. A 81, 132 (1981)CrossRefADSGoogle Scholar
  21. V. Buzek, Phys. Rev. A 39, 3196 (1989)CrossRefADSGoogle Scholar
  22. M. Chaichian, D. Ellinas, P. Kulish, Phys. Rev. Lett. 65, 980 (1990)CrossRefzbMATHADSMathSciNetGoogle Scholar
  23. T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966) Google Scholar
  24. A. Rosenhouse, J. Mod. Opt. 38, 269 (1991)CrossRefADSGoogle Scholar
  25. D. Bonatsos, C. Daskaloyannis, G. Lalazissis, Phys. Rev. A 47, 3448 (1993)CrossRefADSMathSciNetGoogle Scholar
  26. B.W. Shore, P. Knight, J. Mod. Opt. 40, 1195 (1993)zbMATHCrossRefADSMathSciNetGoogle Scholar
  27. Zh. Tang, Phys. Rev. A 52, 3448 (1995)CrossRefADSMathSciNetGoogle Scholar
  28. A. Messina, S. Maniscalco, A. Napoli, J. Mod. Opt. 50, 1 (2003)ADSGoogle Scholar
  29. M. Abdel-Aty, Physica A 313, 471 (2002); M. Abdel-Aty, J. Phys. A: Math. Gen. 37, 1759 (2004)zbMATHCrossRefADSGoogle Scholar
  30. M.H. Naderi, M. Soltanolkotabi, R. Roknizadeh, J. Phys. Soc. Jap. 73, 2413 (2004)zbMATHCrossRefADSGoogle Scholar
  31. C.J. Hood, S. Chapman, T.W. Lynn, H.J. Kimble, Phys. Rev. Lett. 80, 4157 (1998); P. Munstermann, T. Fischer, P. Maunz, P.W.H. Pinske, G. Rempe, Opt. Commun. 159, 63 (1999); P. Munstermann, T. Fischer, P. Maunz, P.W.H. Pinske, G. Rempe, Phys. Rev. Lett. 82, 3791 (1999)CrossRefADSGoogle Scholar
  32. M. Soltanolkotabi, M.H. Naderi, Fizika A 10, 1 (2001) ADSGoogle Scholar
  33. F.L. Kien, M.O. Scully, H. Walther, Found. Phys. 23, 177 (1993)CrossRefADSGoogle Scholar
  34. W.H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973) Google Scholar
  35. L. Davidovich, J.M. Raimond, M. Brune, S. Haroche, Phys. Rev. A 36, 3771 (1987)CrossRefADSGoogle Scholar
  36. M. Brune, J.M. Raimond, P. Goy, L. Davidovich, S. Haroche, Phys. Rev. Lett. 59, 1899 (1987)CrossRefADSGoogle Scholar
  37. P. Shanta, S. Chaturvedi, V. Srinivasan, G.S. Agarwal, C.L. Mehta, Phys. Rev. Lett. 72, 1447 (1994)CrossRefADSGoogle Scholar
  38. D. Stoler, Phys. Rev. D 4, 2309 (1971); H.P. Yuen, Phys. Rev. A 13, 2226 (1976)CrossRefADSGoogle Scholar
  39. S. Sivakumar, J. Opt. B: Quant. Semiclass. Opt. 2, R61 (2000)Google Scholar
  40. S. Mancini, Phys. Lett. A 233, 291 (1997); S. Sivakumar, Phys. Lett. A 252, 257 (1998); S. Sivakumar, J. Phys. A: Math. Gen. 33, 2289 (2000)zbMATHCrossRefADSMathSciNetGoogle Scholar
  41. M. Gross, S. Haroche, Phys. Rep. 93, 301 (1982)CrossRefADSGoogle Scholar
  42. P. Lougovski, E. Solano, Z.M. Zhang, H. Walther, H. Mack, W.P. Schleich, Phys. Rev. Lett. 91, 010401 (2003)CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Authors and Affiliations

  • M. H. Naderi
    • 1
    Email author
  • M. Soltanolkotabi
    • 1
  • R. Roknizadeh
    • 1
  1. 1.Quantum Optics Group, Department of PhysicsUniversity of IsfahanIsfahanIran

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