Abstract
Recently photon-added states that could be detected through the emission rather than the absorption of electromagnetic radiation have been actively explored and investigated. In this paper, we construct the photon-added power-law-potential coherent states (PA-PLPCSs) using generalized Heisenberg algebra. The Klauder minimal set of conditions required to obtain coherent states are satisfied. We study nonclassical effects associated with PA-PLCSs using the Mandel parameter and discuss some of their intriguing nonclassical behavior. These states have interesting significance and can be realized experimentally, exhibiting highly nonclassical behavior that depends on the degree of excitation and other parameters. Finally, we study the dynamics of entanglement and quantum discord for two-mode state within the framework of PLPCSs and show that the sudden death and sudden birth of correlations are due to the change and transfer of the correlation between one mode and its environment, using the monogamic relation between the entanglement and quantum discord.
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Y. Hassouni, E. M. F. Curado, and M. A. Rego-Monteiro, Phys. Rev. A, 71, 022104 (2005).
K. Berrada, A. Chafik, H. Eleuch, and Y. Hassouni, Quantum. Inform. Process., 9, 13 (2010).
K. Berrada, Open Syst. Inform. Dyn., 22, 1350001 (2013).
S. Robles-Perez, Y. Hassouni, and P. F. Gonzalez-Diaz, Phys. Lett. B, 683, 1 (2010).
H. Eleuch and R. Bennaceur, J. Opt B: Quantum Semiclass. Opt., 6, 189 (2004).
V. I. Man’ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, Phys. Scr., 55, 528 (1997).
P. Roy, Opt. Commun., 221, 145 (2003).
W. M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys., 62, 867 (1990).
M. M. Nieto and L. M. Simmons, Phys. Rev. D, 20, 1321 (1979).
J. R. Klauder, J. Phys. A: Math. Gen., 29, L293 (1996).
C. C. Gerry, Phys. Rev. A, 33, 2207 (1986).
T. Fukui and N. Aizawa, Phys. Lett. A, 180, 308 (1993).
A. Chenaghlou and H. Kakhri, Mod. Phys. Lett. A, 19, 2619 (2004).
I. Shahid, U. A. Qurat, and S. Farhan, Phys. Lett. A, 356, 231 (2006).
U. P. Sukhatma, Am. J. Phys., 41, 1015 (1973).
E. I. Liboff, Int. J. Theor. Phys., 47, 185 (1979).
R. W. Robinett, J. Math. Phys., 41, 1801, (2000).
E. M. F. Curado and M. A. Rego-Monteiro, J. Phys. A: Math. Gen., 34, 3253 (2001).
M. Piani, P. Horodecki, and R. Horodecki, Phys. Rev. Lett., 100, 090502 (2008).
H. Ollivier and W. H. Zũrek, Phys. Rev. Lett., 88, 017901 (2001).
L. Henderson and V. Vedral, J. Phys. A: Math. Gen., 34, 6899 (2001).
J. Oppenheim, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett., 89, 180402 (2002).
M. Horodecki, P. Horodecki, R. Horodecki, et al., Phys. Rev. A, 71, 062307 (2005).
A. Datta and and S. Gharibian, Phys. Rev. A, 79, 042325 (2009).
K. Berrada, Abdel Khalek, and C. H. Raymond Ooi, Phys. Rev. A, 86, 033823 (2012).
G. Alber, T. Beth, M. Horodecki, et al., in: Quantum Information, Springer-Verlag, Berlin (2001), Ch. 5.
Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys., 81, 865 (2009).
L. Mazzola, J. Piilo, and S. Maniscalco, Phys. Rev. Lett., 104, 200401 (2010).
B. Dakić, V. Vedral, and C. Brukner, Phys. Rev. Lett., 105, 190502 (2010).
K. Modi, T. Paterek, W. Son, et al., Phys. Rev. Lett., 104, 080501 (2010).
A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. Lett., 100, 050502 (2008).
A. Niset and N. J. Cerf, Phys. Rev. A, 74, 052103 (2006).
Jin-Shi Xu, Xiao-Ye Xu, Chuan-Feng Li, et al., Nature Commun., 1, 7 (2010).
B. P. Lanyon, M. Barbieri, M. P. Almeida and A. G. White, Phys. Rev. Lett., 101, 200501 (2008).
A. Datta, A. Shaji, and Carlton M. Caves, Phys. Rev. Lett., 100, 050502 (2008).
D. Cavalcanti, L. Aolita, S. Boixo, et al., Phys. Rev. A, 83, 032324 (2011).
J. Cui and H. Fan, J. Phys. A: Math. Theor., 43, 045305 (2010).
B. Groisman, S. Popescu, and A. Winter, Phys. Rev. A, 72, 032317 (2005).
B. P. Lanyon, M. Barbieri, M. P. Almeida, and A. G. White, Phys. Rev. Lett., 101, 200501 (2008).
J. R. Klauder, J. Math. Phys., 4, 1058 (1963).
G. Fikioris, Mellin Transform Method for Integral Evaluation, Morgan Claypool Publishers (2007).
J. R. Klauder, K. A. Penso, and J.-M. Sixdeniers, Phys. Rev. A, 64, 013817 (2001).
K. Berrada, M. El Baz, and Y. Hassouni, Phys. Lett. A, 375, 298 (2011).
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press (1955).
K. Zyczkowski, P. Horodecki, M. Horodecki, and R. Horodecki, Phys. Rev. A, 65, 012101 (2001).
T. Yu and J. H. Eberly, Phys. Rev. Lett., 93, 140404 (2004).
T. Yu and J. H. Eberly, Science, 323, 598 (2009).
M. P. Almeida, F. de Melo, M. Hor-Meyll, et al., Science, 316, 579 (2007).
A. Kowalewska-Kudlaszyk and W. Leonski, J. Opt. Soc. Am., 26, 1289 (2009).
A. Kowalewska-Kudlaszyk and W. Leonski, Phys. Rev. A, 83, 052326 (2011).
K. Berrada, F. F. Fanchini, and S. Abdel-Khalek, Phys. Rev. A, 85, 052315 (2012).
M. Hillery and M. S. Zubairy, Phys. Rev. A, 74, 032333 (2006).
K. Berrada, M. El Baz, F. Saif, et al., J. Phys. A: Math. Theor., 42, 285306 (2009).
C. H. Bennett, G. Brassard, C. Crepeau, et al., Phys. Rev. Lett., 70, 1895 (1993).
C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett., 69, 2881 (1993).
M. Z˙ ukowski, A. Zeilinger, M. A. Horne, and A. K. Ekert, Phys. Rev. Lett., 71, 4287 (1993).
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Berrada, K., Abdel-Khalek, S. & Eid, A. Sudden Death, Sudden Birth, and Nonclassical Effects of Photon-Added Power-Law Potential Within the Framework of Subsystem-Environment Correlations. J Russ Laser Res 37, 45–61 (2016). https://doi.org/10.1007/s10946-016-9544-1
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DOI: https://doi.org/10.1007/s10946-016-9544-1