Abstract.
A quantum optics model is considered where the cavity field interacts with two coupled atoms. The time-dependent wave function is obtained and used to derive the density matrix from which we discussed some statistical properties for the present system. The atom-atom entanglement, atoms-cavity entanglement, entropy and variance squeezing, the Pegg-Barrnet phase and the fidelity are discussed with the effects of the initial conditions, atom-atom coupling and the detuning parameter displayed. It is shown that an increase in the value of the atom-atom coupling parameter leads to an increase in the degree of entanglement. Numerical results show that under some conditions the phenomena of entanglement and the collapses and the revivals emerge. Nonclassical properties are demonstrated by means of the field quantum statistical characteristics, such as photon-number distribution, Husimi, Wigner and Glauber-Sudarshan quasidistributions and the corresponding variances.
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References
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
D. Bouwmeester, A. Ekert, A. Zeilinger (Editors), The physics of quantum information (Springer, Berlin, 2000)
R.G. DeVoe, R.G. Brewer, Phys. Rev. Lett. 76, 2049 (1996)
Q.A. Turchette, C.S. Wood, B.E. King, C.J. Myatt, D. Leibfried, W.M. Itano, C. Monroe, D.J. Wineland, Phys. Rev. Lett. 81, 3631 (1998)
E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
M. Tavis, M. Cummings, Phys. Rev. 170, 379 (1968)
A.S.-F. Obada, Z.M. Omar, J. Egypt Math. Soc. 1, 63 (1993)
I.K. Kudryavtsev, A. Lambrecht, H. Moya-Cessa, P.L. Knight, J. Mod. Opt. 40, 1605 (1994)
H.T. Dung, N.D. Huyen, J. Mod. Opt. 41, 453 (1994)
M. Brune, J.M. Raimond, P. Goy, L. Davidovich, S. Haroche, Phys. Rev. Lett. 59, 1899 (1987)
E.K. Bashkirov, M.S. Rusakova, Opt. Commun. 281, 4380 (2008)
E.K. Bashkirov, Phys. Scr. 82, 015401 (2010)
H.A. Hessian, M. Hashem, Quantum Inf. Process 10, 543 (2011)
D. Bra, Phys. Rev. Lett. 89, 277901 (2002)
F. Benatti, R. Floreanini, M. Piani, Phys. Rev. Lett. 91, 070402 (2003)
S. Oh, J. Kim, Phys. Rev. A 74, 062306 (2006)
M.S. Kim, Jinhyoung Lee, D. Ahn, P.L. Knight, Phys. Rev. A 65, 040101 (2002)
L.M.K. Vandersypen, I.L. Chuang, Rev. Mod. Phys. 76, 1037 (2004)
Y. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)
R. Loudon, P.L. Knight, J. Mod. Opt. 34, 709 (1987)
S.J.D. Phoenix, P.L. Knight, Phys. Rev. A 44, 6023 (1991)
C.Z. Wang, C.X. Li, G.C. Guo, Eur. Phys. J. D 37, 267 (2006)
M. Abdel-Aty, M.S. Abdalla, B.C. Sanders, Phys. Lett. A 373, 315 (2009)
B. Ghosh, A.S. Majumdar, N. Nayak, Phys. Rev. A 74, 052315 (2006)
R.F. Werner, Quantum Information -- An Introduction to Basic Theoretical Concepts and Experiments, Springer Tracts Modern Phys., Vol. 173 (Springer, Heidelberg, 2001)
S.J.D. Phoenix, P.L. Knight, Phys. Rev. A 44, 6023 (1991)
H. Araki, E. Lieb, Commun. Math. Phys. 18, 160 (1970)
H.I. Yoo, J.H. Eberly, Phys. Rep. 118, 239 (1981)
A.M. Abdel-Hafez, A.S.F. Obada, M.M.A. Ahmed, Phys. Rev. A 35, 1634 (1987)
E.M. Khalil, M.S. Abdalla, A.S.-F. Obada, J. Perina, J. Opt. Soc. Am. B 27, 266 (2010)
E.M. Khalil, M.S. Abdalla, A.S.-F. Obada, J. Phys. B 43, 095507 (2010)
P.L. Knight, P.M. Radamore, Phys. Lett. A 90, 342 (1982)
E.M. Khalil, Int. J. Mod. Phys. B 30, 5143 (2007)
A.-S.F. Obada, M.M.A. Ahmed, F.K. Faramawy, E.M. Khalil, Chaos Solitons Fractals 28, 983 (2006)
M.S. Abdalla, E.M. Khalil, A.S.-F. Obada, Ann. Phys. (N.Y.) 11, 2554 (2007)
E.M. Khalil, M.S. Abdalla, A.S.-F. Obada, Ann. Phys. (N.Y.) 321, 421 (2006)
J. Sanchez-Ruiz, Phys. Lett. A 201, 125 (1995)
J. Sanchez-Ruiz, Phys. Lett. A 244, 189 (1998)
J. Sanchez-Ruiz, Phys. Lett. A 173, 233 (2003)
S.M. Barnett, D.T. Pegg, Phys. Rev. A 19, 3849 (1986)
S.M. Barnett, D.T. Pegg, Phys. Rev. A 39, 1665 (1989)
S.M. Barnett, D.T. Pegg, J. Mod. Optics 36, 7 (1989)
A.S.F. Obada, A.M. Abdel-Hafez, M. Abdel-Aty, Eur. Phys. D 3, 289 (1998)
A.S.F. Obada, A.M. Abdel-Hafez, A.H. Essawy, M. Abdel-Aty, Phys. Scr. 60, 329 (1999)
J. Peřina, Quantum Statistics of Linear and Nonlinear Optical Phenomena (Kluwer, Dordrecht, 1991)
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Sebawe Abdalla, M., Khalil, E.M., Obada, A.S.F. et al. Quantum statistical characteristics of the interaction between two two-level atoms and radiation field. Eur. Phys. J. Plus 130, 227 (2015). https://doi.org/10.1140/epjp/i2015-15227-9
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DOI: https://doi.org/10.1140/epjp/i2015-15227-9