Research PapersNo Access

DYNAMICS OF FISHER INFORMATION IN KERR MEDIUM

S. ABDEL-KHALEK

Department of Mathematics, Faculty of Science, Sohag University, 82524 Sohag, Egypt

https://doi.org/10.1142/S0219749909005870Cited by:26 (Source: Crossref)

Abstract

We discuss new aspects of the interaction between a cavity field and Kerr-like medium, focusing on Fisher Information. Here, we provide a new formula for marginal distributions of the Fisher Information and comparison with the Wehrl entropy for the system has been presented. The results show that, it is a correlation measure which is true for any quantum state, provided that it shows the same entropy behaviors of certain reduced states.

Keywords:

References

J. von Neumann , Mathematical Foundations of Quantum Mechanics ( Princeton University Press , Princeton, NJ , 1955 ) . Google Scholar
F. A. A. El-Orany and A.-S. Obada, J. Opt. B: Quant. Semiclass. Opt. 5, 60 (2003), DOI: 10.1088/1464-4266/5/1/309. Crossref, Google Scholar
T. M. El-Shahatet al., J. Mod. Opt. 50, 2013 (2003). Crossref, Web of Science, Google Scholar
C. E. Shannon and W. Weaver , The Mathematical Theory of Communication ( Urbana University Press , Chicago , 1949 ) . Google Scholar
P. Garbaczewski, Appl. Math. Inf. Sci. 1, 1 (2007). Google Scholar
H. M. A. Abu-Donia, A. Nasef and E. A. Marai, Appl. Math. Inf. Sci. 1, 13 (2007). Web of Science, Google Scholar
J. A. Vaccaro and A. Orlowski, Phys. Rev. A 51, 4172 (1995), DOI: 10.1103/PhysRevA.51.4172. Crossref, Web of Science, Google Scholar
V. Bužek, C. H. Keitel and P. L. Knight, Phys. Rev. A 51, 2575 (1995), DOI: 10.1103/PhysRevA.51.2575. Crossref, Web of Science, Google Scholar
C. H. Keitel and K. Wodkiewicz, Phys. Lett. A 167, 151 (1992), DOI: 10.1016/0375-9601(92)90220-G. Crossref, Web of Science, Google Scholar
A. Anderson and J. J. Halliwell, Phys. Rev. D 48, 2753 (1993), DOI: 10.1103/PhysRevD.48.2753. Crossref, Web of Science, Google Scholar
A. Miranowiczet al., J. Phys. A: Math. Gen. 34, 3887 (2001), DOI: 10.1088/0305-4470/34/18/315. Crossref, Google Scholar
N. Ganikhodjaev and F. Mukhamedov, Appl. Math. Inf. Sci. 1, 275 (2007). Google Scholar
F. Saifet al., Appl. Math. Inf. Sci. 1, 323 (2007). Web of Science, Google Scholar
J. B. Watsonet al., Phys. Rev. A 54, 729 (1996), DOI: 10.1103/PhysRevA.54.729. Crossref, Web of Science, Google Scholar
C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948). Crossref, Web of Science, Google Scholar
R. A. Fisher, Proc. Cambridge Philos. Soc. 22, 700 (1925), DOI: 10.1017/S0305004100009580. Crossref, Google Scholar
S. B. Sears, R. Parr and G. U. Dinur, Israel J. Chem. 19, 165 (1980). Crossref, Web of Science, Google Scholar
M. Reginatto, Phys. Rev. A 58, 1775 (1998), DOI: 10.1103/PhysRevA.58.1775. Crossref, Web of Science, Google Scholar
D. A. Lavis and R. F. Streater, "Essay Review 'Physics from Fisher Information"' by [Studies in the History and Philosophy of Modern Physics 33 (2002) 327 . Google Scholar
R. Nalewajski, Chem. Phys. Lett. 372, 28 (2003), DOI: 10.1016/S0009-2614(03)00335-X. Crossref, Web of Science, Google Scholar
A. Nagy, J. Chem. Phys. 119, 9401 (2003), DOI: 10.1063/1.1615765. Crossref, Web of Science, Google Scholar
E. Romera, P. Sanchez-Morena and J. S. Dehesa, Chem. Phys. Lett. 414, 468 (2005), DOI: 10.1016/j.cplett.2005.08.032. Crossref, Web of Science, Google Scholar
A. Nagy, Chem. Phys. Lett. 425, 157 (2006), DOI: 10.1016/j.cplett.2006.05.013. Web of Science, Google Scholar
Z. Hradil and J. Rehacek, J. Phys. Lett. A 334, 267 (2005), DOI: 10.1016/j.physleta.2004.11.024. Crossref, Web of Science, Google Scholar
I. Jex and A. Orlowski, J. Mod. Opt. 41, 2301 (1994), DOI: 10.1080/09500349414552151. Crossref, Web of Science, Google Scholar
A. Wehrl, Rev. Mod. Phys. 50, 221 (1978), DOI: 10.1103/RevModPhys.50.221. Crossref, Web of Science, Google Scholar
A. Wehrl, Rep. Math. Phys. 30, 119 (1991), DOI: 10.1016/0034-4877(91)90045-O. Crossref, Google Scholar
A. Miranowicz, H. Matsueda and M. R. B. Wahiddin, J. Phys. A: Math. Gen. 33, 51519 (2000), DOI: 10.1088/0305-4470/33/29/301. Crossref, Google Scholar
S. Abdel-Khalek, Physica A 387, 779 (2008). Crossref, Web of Science, Google Scholar
F. Pennini and A. Plastino, Phys. Lett. A 326, 20 (2004), DOI: 10.1016/j.physleta.2004.04.024. Crossref, Web of Science, Google Scholar