Abstract
We discuss the effect of damping on a quantum system specifically described by the su(1, 1) Lie algebra and interacting with a two-level atom in the presence of external classical su(1, 1) terms. We obtain the numerical solution of the associated differential equations and discuss in detail several statistical aspects, atomic inversion, squeezing phenomena, and negativity. In addition, we analyze the effect of the decay parameter and the external classical su(1, 1) terms on the population inversion and purity. Finally, we examine the entropy squeezing and the degree of entanglement for some values of the damping and detuning parameters.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. T. Jaynes and F. W. Cummings, Proc. IEEE, 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. Bu\( \tilde{z} \)ek, Phys. Rev. A, 44, 6069 (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).
A.-S. F. Obada, M. M. A. Ahmed, E. M. Khalil, and S. I. Ali, Opt. Commun., 287, 215 (2013).
F. Yadollahi and M. K. Tavassoly, Opt. Commun., 284, 608 (2011).
M. K. Tavassoly, and F. Yadollahi, Int. J. Mod. Phys. B, 26, 1250027 (2012).
M. Sahrai and H. Tajalli, J. Opt. Soc. Am. B., 30, 512 (2013).
H. R. Baghshahi and M. K. Tavassoly, Phys. Scr., 89, 075101 (2014).
V. Bu\( \tilde{z} \)ek, Phys. Rev. A., 39, 3196 (1989).
J. M. Fink, M. Goppl, M. Baur, et al., Nature, 454, 315 (2008).
A. Joshi, Phys. Rev. A., 62, 043812 (2000).
E. K. Bashkirov and M. S. Rusakova, Opt. Commun., 281, 4380 (2008).
E. Faraj, M. K. Tavassoly, and H. R. Baghshahi, Int. J. Theor. Phys., 55, 2573 (2016).
H. R. Baghshahi, M. K. Tavassoly, and S. J. Akhtarshenas, Quantum Inform. Process., 14, 1279, (2015).
D. Schumacher and M. D. Westmoreland, Quantum Processes, Systems, and Information, Cambridge University Press (2010).
W. Zürek, Rev. Mod. Phys., 75, 715 (2001).
C. H. Bennett and D. P. Divincenzo, Nature, 404, 247 (2000).
I. Bengtsson and K. Zyczkowski, Geometry of Quantum States, Cambridge University Press (2006).
X. Y. Li, Q. Pan, J. Jing, et al., Phys. Rev. Lett., 88, 047904 (2002).
C. H. Bennett, G. Brassard, C. Crépeau, et al., Phys. Rev. Lett., 70, 1895 (1993).
M. Sebawe Abdalla, E. M. Khalil, and A.-S. F. Obada, Int. J. Theor. Phys., 56, 2363 (2017).
S. Sadah Alkhateeb and E. M. Khalil, J. Russ. Laser Res., 39, (2018).
R. R. Puri and G. S. Agarwal, Phys. Rev. A, 35, 3433 (1987).
T. Quang, P. L. Knight, and V. Bu\( \tilde{z} \)ek, Phys. Rev. A, 44, 6069 (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).
A.-S. F. Obada, E. M. Khalil, S. Abdel-Khalek, and S. I. Ali, Opt. Commun., 285, 2675 (2012).
A.-S. F. Obada, M. Sebaweh Abdalla, A.-B. A. Mohamed, and E. M. Khalil, Solid State Commun., 51, 1824 (2011).
S. Cruz y Cruz and Z. Gress, Ann. Phys., 383, 257 (2017).
M. Sebawe Abdalla, M. M. A. Ahmed, E. M. Khalil, and A.-S. F. Obada, J. Russ. Laser Res., 35, 2 (2014).
J. Sanchez-Ruiz, Phys. Lett. A, 226, 7 (1997).
H. S. Alqannas and E. M. Khalil, Physica A, 489, 1 (2018).
H. S. Alqannas and E. M. Khalil, Int. J. Theor. Phys., 56, 2019 (2017).
M. Sebaweh Abdalla, A.-S. F. Obada, A.-B. A. Mohamed, and E. M. Khalil, Int. J. Theor. Phys., 53, 1325 (2014).
M. Sebawe Abdalla, E. M. Khalil, and A.-S. F. Obada, J. Russ. Laser Res., 38, 1 (2017).
M. Sebawe Abdalla, E. M. Khalil, A.-S.F. Obada et al., Am. Inst. Phys. (AIP) Adv., 7, 015013 (2017).
M. Sebawe Abdalla, M. M. A. Ahmed, E. M. Khalil, and A.-S. F. Obada, J. Russ. Laser Res., 37, 361 (2016).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khalil, E.M., Abdel-Khalek, S. & Al-Awfi, S. Entanglement of an su(1, 1) Quantum System Interacting with a Single Two-Level Atom in the Presence of Damping Terms. J Russ Laser Res 39, 505–513 (2018). https://doi.org/10.1007/s10946-018-9746-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-018-9746-9