PL EN


Preferences help
enabled [disable] Abstract
Number of results
2016 | 129 | 6 | 1083-1088
Article title

Entanglement and Statistical Properties of a System Consisting of Three-Level Atom Interacting with a Nonlinear Kerr Medium Field

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this paper, we present a proper quantum system to perform different tasks of quantum information processing with optimal conditions. We study the populations, entanglement, and nonclassical properties of a system consisting of three level atom interacting with a nonlinear Kerr medium field constructed in the framework of generalized Heisenberg algebra. We quantify these quantities in terms of different parameters involved in the whole system considering the case of moving and stationary atom in the real experimental meaning of the coupling constant. The nonlinearity introduced by these kinds of fields play a useful role to create high amount of entanglement during the time evolution. Interestingly, the relationship between the degree of nonlinearity and robust of entanglement is explored in this present model.
Keywords
Contributors
  • The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy
  • Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt
  • Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia
author
  • Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia
author
  • The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy
  • Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia
References
  • [1] E. Schrödinger, Naturwissenschaften 14, 664 (1926), doi: 10.1007/BF01507634
  • [2] R.J. Glauber, Phys. Rev. 131, 2766 (1963), doi: 10.1103/PhysRev.131.2766
  • [3] A.M. Perelomov, Commun. Math. Phys. 26, 222 (1972), doi: 10.1002/9783527628285
  • [4] A. Perelomov, Generalized Coherent States and Their Applications, Springer, New York 1986, doi: 10.1007/978-3-642-61629-7
  • [5] K. Berrada, M. El Baz, Y. Hassouni, J. Stat. Phys. 142, 510 (2011), doi: 10.1007/s10955-011-0124-z
  • [6] K. Berrada, M. El Baz, Y. Hassouni, Rep. Math. Phys. 68, 23 (2011), doi: 10.1088/1751-8113/42/28/285306
  • [7] K. Berrada, Phys. Rev. A 88, 013817 (2013), doi: 10.1103/PhysRevA.88.013817
  • [8] J.R. Klauder, B. Skagertam, Coherent States: Application in Physics and Mathematical Physics, World Sci., Singapore 1985, doi: 10.1142/0096
  • [9] W.-M. Zhang, D.H. Feng, R. Gilmore, Rev. Mod. Phys. 62, 867 (1990), doi: 10.1103/RevModPhys.62.867
  • [10] A. Inomata, H. Kuratsuji, C. Gerry, Path Integrals and Coherent States of SU(2) and SU(1,1), World Sci., Singapore 1992, doi: 10.1142/S0217979212501433
  • [11] A.O. Barut, L. Girardello, Commun. Math. Phys. 21, 41 (1971), doi: 10.1002/9783527628285
  • [12] R. Gilmore, Ann. Phys. 74, 391 (1972), doi: 10.1007/s00208-007-0194-z
  • [13] C. Aragone, G. Guerri, S. Salammo, J.L. Tani, J. Phys. A Math. Nucl. Gen. 7, L149 (1974), doi: 10.1088/0305-4470/32/14/005
  • [14] M.M. Nieto, L.M. Simmons, Phys. Rev. Lett. 41, 207 (1978), doi: 10.1103/PhysRevLett.41.207
  • [15] P. Roy, Opt. Commun. 221, 145 (2003), doi: 10.1088/0253-6102/50/4/36
  • [16] A. Chenaghlou, H. Kakhri, Mod. Phys. Lett. A 19, 2619 (2004), doi: 10.1142/S021773230401504X
  • [17] I. Shahid, U.A. Qurat, S. Farhan, Phys. Lett. A 356, (2006), doi: 10.1016/j.physleta.2006.03.046
  • [18] R.W. Robinett, J. Math. Phys. 41, 1801 (2000), doi: 10.1063/1.533213
  • [19] K. Berrada, M. El Baz, Y. Hassouni, Phys. Lett. A 375, 298 (2011), doi: 10.1016/j.physleta.2012.01.035
  • [20] Y. Hassouni, E.M.F. Curado, M.A. Rego-Monteiro, Phys. Rev. A 71, 022104 (2005), doi: 10.1103/PhysRevA.71.022104
  • [21] S. Kielich, M. Kozierowski, R. Tanas, Opt. Acta 32, 1023 (1985), doi: 10.1051/jphys:0198700480100169700
  • [22] M. Kitagawa, Y. Yamamoto, Phys. Rev. A 34, 3974 (1986), doi: 10.1103/PhysRevA.34.3974
  • [23] C.C. Gerry, R. Grobe, Phys. Rev. A 49, 2033 (1994), doi: 10.1103/PhysRevA.49.2033
  • [24] K. Berrada, S. Abdel-Khalek, Physica E 44, 628 (2011), doi: 10.1016/j.physe.2011.10.016
  • [25] A. Miranowicz, R. Tanas, S. Kielich, Opt. Lett. 10, 508 (1985), doi: 10.1088/0954-8998/3/2/003
  • [26] S. Abdel-Khalek, K. Berrada, C.H. Raymond Ooi, Laser Phys. 22, 1449 (2012), doi: 10.1134/S1054660X12090010
  • [27] R. Tanas, S. Kielich, Opt. Commun. 30, 443 (1979), doi: 10.1088/0954-8998/3/1/004
  • [28] S. Ferretti, V. Savona, D. Gerace, New J. Phys. 15, 025012 (2013), doi: 10.1088/1367-2630/15/2/025012
  • [29] A.D. Wilson-Gordon, V. Buek, P.L. Knight, Phys. Rev. A 44, 7647 (1991), doi: 10.1103/PhysRevA.44.7647
  • [30] S. Abdel-Khalek, Int. J. Quant. Inform. 7, 1541 (2009), doi: 10.1142/S0219749909005870
  • [31] T.M. El-Shahat, S. Abdel-Khalek, M. Abdel-Aty, A.-S.F. Obada, J. Mod. Opt. 50, 2013 (2003), doi: 10.1080/09500340308235254
  • [32] K. Zyczkowski, P. Horodecki, M. Horodecki, R. Horodecki, Phys. Rev. A 65, 012101 (2001), doi: 10.1103/PhysRevA.65.012101
  • [33] T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004), doi: 10.1103/PhysRevLett.93.140404
  • [34] T. Yu, J.H. Eberly, Science 323, 598 (2009), doi: 10.1126/science.1167343
  • [35] M.P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S.P. Walborn, P.H. Souto Ribeiro, L. Davidovich, Science 316, 579 (2007), doi: 10.1126/science.1139892
  • [36] A. Kowalewska-Kudlaszyk, W. Leoński, J. Opt. Soc. Am. 26, 1289 (2009), doi: 10.1364/JOSAB.26.001289
  • [37] S. Abdel-Khalek, S. Barzanjeh, H. Eleuch, Int. J. Theor. Phys. 50, 2939 (2011), doi: 10.1007/s10773-011-0794-y
  • [38] A.S.-F. Obada, S. Abdel-Khalek, D.A.M. Abo-Kahla, Opt. Commun. 283, 4662 (2010), doi: 10.1016/j.optcom.2010.06.074
  • [39] S. Abdel-Khalek, Open Syst. Inform. Dyn. 22, 1550015 (2015), doi: 10.1142/S1230161215500158
  • [40] E.M.F. Curado, M.A. Rego-Monteiro, J. Phys. A 34, 3253 (2001), doi: 10.1088/0305-4470/34/15/304
  • [41] J.R. Klauder, J. Math. Phys. 4, 1058 (1963), doi: 10.1063/1.1704035
  • [42] M.A. Al-Rajhi, S. Abdel-Khalek, Int. J. Theor. Phys. 54, 1470 (2015), doi: 10.1007/s10773-014-2344-x
  • [43] S. Abdel-Khalek, Y.S. El-Saman, M. Abdel-Aty, Opt. Commun. 283, 1826 (2010), doi: 10.1016/j.optcom.2009.12.065
  • [44] S. Abdel-Khalek, Quant. Inform. Process. 12, 3761 (2013), doi: 10.1007/s11128-013-0622-9
  • [45] M. Sargent, M.O. Scully, W.E. Lamb, Laser Physics, Addison-Wesley, Reading 1974, doi: 10.1070/QE1976v006n03ABEH011104
  • [46] X. Li, D.L. Lin, C. Gong, Phys. Rev. A 36, 5209 (1987), doi: 10.1103/PhysRevA.36.5209
  • [47] N.A. Enaki, N. Ciobanu, J. Mod. Opt. 55, 1557 (2008), doi: 10.1080/09500340701721868
  • [48] S. Abdel-Khalek, M. Abdel-Aty, Appl. Comput. Math. 14, 328 (2015), doi: 10.1080/713824334
  • [49] A. Joshi, J. Mod. Opt. 42, 2561 (1995), doi: 10.1080/713824334
  • [50] S.J.D. Phoenix, P.L. Knight, Phys. Rev. A 44, 6023 (1991), doi: 10.1103/PhysRevA.44.6023
  • [50a] V. Buzek, H. Moya-Cessa, P.L. Knight, Phys. Rev. A 45, 8190 (1992), doi: 10.1103/PhysRevA.45.8190
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv129n602kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.