Special Issue on Nanotechnology and Advanced Materials (ICNAM 2009); Edited by Mohamed BououdinaNo Access

WEHRL ENTROPY OF A MIXED STATE THREE-LEVEL ATOM INTERACTING WITH A CAVITY FIELD

S. ABDEL-KHALEK

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

Department of Mathematics, Faculty of Science, Taif University, 21974 Taif, Saudi Arabia

Search for more papers by this author

Y. HASSOUNI

Physics Department, Faculty of Sciences, Mohammed V. University, P. B. 1014, Rabat, Morocco

Search for more papers by this author

, and

M. ABDEL-ATY

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

Department of Mathematics, College of Science, University of Bahrain, 32038, Kingdom of Bahrain

Search for more papers by this author

https://doi.org/10.1142/S0219581X1000737XCited by:0 (Source: Crossref)

Abstract

In this paper, the Wehrl entropy approach is discussed and compared with the quantum entanglement using a mixed-state three-level atom interacting with a cavity field. In the pure state case, the behavior of the atomic Wehrl entropy shows the same behavior of the entanglement due to the von-Neumann entropy, while the mixed state case gives the total correlation due to quantum mutual entropy. If the system is in an entangled state, the formalism can be used to quantify the entanglement as well as the total correlations.

Keywords:

References

M. A. Nielsen and I. L. Chuang , Quantum Computation and Quantum Information ( Cambridge University Press , Cambridge , 2000 ) . Google Scholar
J. Eisert and M. B. Plenio, J. Mod. Opt. 46, 145 (1999); Z. Ficek, Appl. Math. Inf. Sci. 3, 375 (2009) . Google Scholar
K.-H. Fichtner and M. Ohya, Commun. Math. Phys. 222, 229 (2001); M. Horodecki, P. Horodecki and R. Horodecki, Phys. Rev. Lett. 78, 574 (1997) . Google Scholar
M. A. Nielsen and J. Kempe, Phys. Rev. Lett. 86, 5184 (2001), DOI: 10.1103/PhysRevLett.86.5184. Web of Science, Google Scholar
C. H. Bennettet al., Phys. Rev. A 54, 3824 (1996), DOI: 10.1103/PhysRevA.54.3824. Web of Science, Google Scholar
S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997), DOI: 10.1103/PhysRevLett.78.5022. Web of Science, Google Scholar
V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998), DOI: 10.1103/PhysRevA.57.1619. Web of Science, Google Scholar
S. Furuichi and M. Ohya, Lett. Math. Phys. 49, 279 (1999), DOI: 10.1023/A:1007684527101. Web of Science, Google Scholar
M. Abdel-Aty, S. Furuichi and A.-S. F. Obada, J. Opt. B: Quant. Semiclass. Opt. 4, 37 (2002); S. Furuichi and M. Abdel-Aty, J. Phys. A: Math. & Gen. 34, 6851 (2001) . Google Scholar
S. Scheel, J. Eisert, P. L. Knight and M. B. Plenio , arXiv:quant/ph/0207120 . Google Scholar
M. F. Fang, Physica A 204, 193 (1994). Google Scholar
S. Abdalla, A.-S. F. Obada and S. Abdel-Khalek, Chaos Solitons Fractals 36, 405 (2008). Web of Science, Google Scholar
S. Furuichi and S. Nakamura, J. Phys. A Math. Gen. 35, 5445 (2002), DOI: 10.1088/0305-4470/35/26/307. Google Scholar
M. Abdel-Aty, J. Phys. A Math. Gen. 38, 8589 (2005), DOI: 10.1088/0305-4470/38/40/008. Google Scholar
S. Abdel-Khalek, Physica A 387, 779 (2008). Web of Science, Google Scholar
D. Leibfriedet al., J. Mod. Opt. 44, 2485 (1997). Web of Science, Google Scholar
E. H. Lieb, Bull. Am. Math. Soc. 81, 1 (1975), DOI: 10.1090/S0002-9904-1975-13621-4. Web of Science, Google Scholar
A. Wehrl, Rep. Math. Phys. 16, 353 (1979), DOI: 10.1016/0034-4877(79)90070-3. Google Scholar
E. H. Lieb (World Scientific, 1994), p. 267 . Google Scholar
P. Schupp, Commun. Math. Phys. 207, 481 (1999), DOI: 10.1007/s002200050734. Web of Science, Google Scholar
A.-S. F. Obada and S. Abdel-Khalek, J. Phys. A Math. Gen. 37, 6573 (2004), DOI: 10.1088/0305-4470/37/25/010. Google Scholar
A. Cives-Esclop, A. Luis and L. L. Sanchiz-Soto, J. Mod. Optics 46, 639 (1999); William P. Reinhardt, Cynthia A. Stanich and Cory D. Schillaci, Appl. Math. Inf. Sci. 3, 273 (2009) . Google Scholar
A.-S. F. Obada and M. Abdel-Aty, Eur. Phys. J. D 27, 277 (2003), DOI: 10.1140/epjd/e2003-00267-5. Web of Science, Google Scholar

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

WEHRL ENTROPY OF A MIXED STATE THREE-LEVEL ATOM INTERACTING WITH A CAVITY FIELD

Abstract

Recommended