Abstract
We present a model of interaction between a four-level atom and the cavity field initially prepared in the coherent state in the presence of the phase damping effect. We discuss the atom–field entanglement and statistical properties under the damping effect in view of numerical calculations. We use the Mandel parameter as a quantifier of the statistical properties of the field; moreover, we study the different effects of the collective parameters in the master equation on the dynamical behavior of the field statistical properties and the entanglement measured by the negativity. Finally, we explore the link between the entanglement and statistical properties in view of the numerical results during the time evolution.
Similar content being viewed by others
References
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2000).
C. H. Bennett, G. Brassard, C. Crépeau, et al., Phys. Rev. Lett., 70, 1895 (1993).
P. Agrawal and A. Pati, Phys. Rev. A, 74, 062320 (2006).
Z.-Q. Yin, H.-W. Li, W. Chen, et al., Phys. Rev. A, 82, 042335 (2010).
T.-G. Noh, Phys. Rev. Lett., 103, 230501 (2009).
K. Berrada, S. Abdel-Khalek, and C. H. R. Ooi, Phys. Rev. A, 86, 033823 (2012).
H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control, Cambridge University Press (2009).
E. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” IEEE Proc., 51, 89 (1963).
S. M. Barnett and P. L. Knight, Phys. Rev. A, 33, 2444 (1986).
R. R. Puri and G. S. Agarwal, Phys. Rev. A, 35, 3433 (1987).
T. Quang, P. L. Knight, and V. Buek, Phys. Rev. A, 44, 6092 (1991).
J. Eiselt and H. Risken, Phys. Rev. A, 43, 346 (1991).
B.-G. Englert, M. Naraschewski, and A. Schenzle, Phys. Rev. A, 50, 2667 (1994).
C. W. Gardiner, Quantum Noise, Springer, Berlin (1991)
D. F. Walls and G. J. Milburn, Quantum Optics, Springer, Berlin (1994).
H.-P.Breuer, U. Dorner, and F. Petruccione, Comput. Phys. Commun., 132, 30 (2000).
I. L. Chuang and Y.Yamamoto, Phys. Rev. A, 55, 114 (1997).
L. M. Kuang, X. Chen, G. H. Chen, and G. M. Lin, Phys. Rev. A, 56, 3139 (1997).
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed, J. Phys. B: At. Mol. Opt. Phys., 41, 135503 (2008).
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed, J. Phys. B: At. Mol. Opt. Phys., 40, 2241 (2007).
S. Abdel-Khalek and N. H. Abdel-Wahab, Int. J. Theor. Phys., 50, 562 (2011).
S. Abdel-Khalek, A. A. Mousa, and T. A. Nofal, J. Russ. Laser Res., 33, 547 (2012).
K. Berrada, S. Abdel-Khalek, and A. Eid, J. Russ. Laser Res., 37, 45 (2015).
D. F. Walls and G. J. Milburn, Quantum Optics, Springer-Verlag, Berlin Heidelberg (2008).
S. Abdel-Khalek and A.-S. F. Obada, Ann. Phys., 325, 2542 (2010).
X. Liu, Physica A, 286, 588 (2000).
M. Abdel-Aty and A.-S. F. Obada, Eur. Phys. J. D, 23, 155 (2003).
S. Abdel-Khalek, Y. S. El-Saman, and M. Abdel-Aty, Opt. Commun., 283, 1826 (2010).
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed, Laser Phys., 18, 1111 (2008).
J. V. Neumann, Mathematical Foundations of Quantum Mechanics, Investigations in Physics, Princeton University Press (1955).
S. J. D. Phoenix and P. L. Knight, Phys. Rev. A, 44, 6023 (1991).
S. J. D. Phoenix and P. L. Knight, Phys. Rev. Lett., 66, 2833 (1991).
G. Vidal and R. F. Werner, Phys. Rev. A, 65, 032314 (2002).
K. Berrada, M. El-Baz, and Y. Hassouni, Rep. Math. Phys., 68, 23 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted by the authors in English first on April 4, 2016 and in final form on May 4, 2016.
Rights and permissions
About this article
Cite this article
Alnaja, K.J.M.A., Waheed, S.E. & Abdel-Khalek, S. Numerical Study of Some Statistical Quantities for Quantum Systems Under Damping Effects. J Russ Laser Res 37, 219–226 (2016). https://doi.org/10.1007/s10946-016-9563-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-016-9563-y