Abstract
General formalisms of a three-level atom interacting with quantized fields under the mechanism of the multi-photon transition are investigated. The wave function is calculated in the context of the framework of the dressed states. The collapse-revival phenomenon dependence on the photon number is discussed. The influences of detuning, Kerr-like, coupling constants and various forms of the intensity-dependent coupling functional are analyzed. General conclusions reached are illustrated through numerical results.
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E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)
T.R. Gentile, B.J. Hughey, D. Kleppner, Phys. Rev. A 40, 5103 (1989)
A. Bandilla, H.-H. Ritze, IEEE J. Quant. Electron. 24, 1338 (1988)
J.H. Eberly, N.B. Narozhny, J.J. Sanchez-Mondragan, Phys. Rev. Lett. 44, 1323 (1980)
N.B. Narozhny, J.J. Sanchez-Mondragan, J.H. Eberly, Phys. Rev. A 23, 236 (1981)
P.L. Knight, S. Barnett, Phys. Rev. A 90, 342 (1987)
R.R. Puri, G.S. Agarwal, Phys. Rev. A 35, 3433 (1987)
Z. Deng, Opt. Commun. 54, 222 (1983)
A. Joshi, S.V. Lawande, J. Mod. Opt. 38, 1407 (1991)
T.M. Makhviladze, L.A. Shelepin, Phys. Rev. A 9, 538 (1974)
N.N. Bogolubov Jr., F. Le Kien, A.S. Shumovski, Phys. Lett. A 101, 201 (1984)
A.M. Abdel-Hafez, M.M. Ahmed, A.-S.F. Obada, Phys. Rev. A 34, 1634 (1987)
F.A.A. El-Orany, A.-S. Obada, J. Opt. B: Quantum Semiclass. Opt. 5, 60 (2003)
M.S. Abdalla, M.M. Ahmed, A.-S.F. Obada, Physica A 162, 215 (1990)
M.S. Abdalla, M.M. Ahmed, A.-S.F. Obada, Physica A 170, 393 (1991)
M.S. Abdalla, M. Abdel-Aty, A.-S.F. Obada, Opt. Commun. 211, 225 (2002)
M.S. Abdalla, M. Abdel-Aty, A.-S.F. Obada, J. Opt. B: Quantum Semiclass. Opt. 4, 396 (2002)
M.A. Marchiolli, R.J. Missori, J.A. Roversi, J. Phys. A 36, 12275 (2003)
A.-S.F. Obada, M.S. Abdalla, E.M. Khalil, Physica A 336, 433 (2004)
F.A.A. El-Orany, J. Mod. Opt. 53, 1699 (2006)
A.-S.F. Obada, M.M.A. Ahmed, F.K. Faramawy, E.M. Khalil, Int. J. Appl. Math. Sci. 1, 117 (2004)
V. Bužek, I. Jex, J. Mod. Opt. 36, 1427 (1989)
H. Trung Dung, R. Tanas, A.S. Shumovsky, Opt. Commun. 79, 462 (1990)
V. Buzek, H. Moya-Cessa, P.L. Knight, S.J.D. Phoenix, Phys. Rev. A 45, 8190 (1992)
M. Abdel-Aty, Physica A 313, 471 (2002)
J. Seke, O. Hittmair, F. Rattay, Opt. Commun. 70, 281 (1989)
M. Kozierowski, V.I. Maǹko, S.M. Chumakov, Physica A 155, 254 (1989)
A.-S.F. Obada, Z.M. Omar, Report IC/95/303, 1995
A.-S.F. Obada, Z.M. Omar, J. Egypt. Math. Soc. 1, 63 (1993)
M.S. Iqbal, S. Mahmood, M.S.K. Razmi, M.S. Zubairy, J. Opt. Soc. Am. B 5, 1312 (1988)
A.-S.F. Obada, M. Abdel-Aty, Physica A 329, 53 (2003)
R.A. Zait, Phys. Lett. A 319, 474 (2003)
A.M. Abdel-Hafez, A.-S.F. Obada, M.M.A. Ahmed, J. Phys. A 20, L359 (1987)
M.H. Mahran, A.-R.A. El-Samman, A.-S.F. Obada, J. Mod. Opt. 36, 53 (1989)
A.M. Abdel-Hafez, A.M.M. Abu-Sitta, A.-S.F. Obada, Physica A 156, 689 (1989)
M. Ranjan Nath, S. Sen, G. Gangopadhyay, Pramana J. Phys. 61, 1100 (2003)
A.-S.F. Obada, S.A. Hanoura, A.A. Eied, Laser Phys. 23, 025201 (2013)
A.-S.F. Obada, S.A. Hanoura, A.A. Eied, Eur. Phys. J. D 66, 221 (2012)
A.A. Eied, S.A. Hanoura, A.-S.F. Obada, Int. J. Theor. Phys. 51, 2665 (2012)
A.-S.F. Obada, S.A. Hanoura, A.A. Eied, Laser Phys. 23, 055201 (2013)
A.-S.F. Obada, S.A. Hanoura, A.A. Eied, Laser Phys., accepted (2014)
K.I. Osman, H.A. Ashi, Physica A 310, 165 (2002)
M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, 1997)
J. Perina Jr., J. Pernia, Progress in Optics (Elsevier, Amsterdam, 2000)
D. Stoler, B.E.A. Saleh, M.C. Teich, Opt. Acta 33, 345 (1985)
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Obada, AS.F., Hanoura, S.A. & Eied, AH. Collapse-revival phenomenon for different configurations of a three-level atom interacting with a field via multi-photon process and nonlinearities. Eur. Phys. J. D 68, 18 (2014). https://doi.org/10.1140/epjd/e2013-30627-3
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DOI: https://doi.org/10.1140/epjd/e2013-30627-3