The atomic Wehrl entropy of a V-type three-level atom interacting with two-mode squeezed vacuum state

Journal of Russian Laser Research - Tập 30 Số 2 - Trang 146-156 - 2009
S. Abdel‐Khalek1, A.‐S. F. Obada2
1Sohag University
2Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt

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M. F. Fang, Physica A, 204, 193 (1994).

M. Abdalla Sebawe, A.-S. F. Obada, and S. Abdel-Khalek, Chaos Solitons and Fractals, 36, 405 (2008).

S. Furuichi and S. Nakamura, J. Phys. A: Math. Gen., 35, 5445 (2002).

M. Abdel-Aty. J. Phys. A: Math. Gen., 38, 8589 (2005).

S. Abdel-Khalek, Physica A, 387, 779 (2008).

G. Benenti, G. Casati, and G. Strini, Principles of Quantum Computation and Information, Vol. I: Basic Concepts, World Scientific, Singapore (2004).

C. Bennet, G. Brassard, C. Crepeau, et al., Phys. Rev. Lett., 70, 1895 (1993).

A. Ekert, Phys. Rev. Lett., 67, 661 (1991).

J. I. Cirac and N. Gisin, Phys. Lett. A, 229, 1 (1997).

C. A. Fuchs, N. Gisin, R. B. Griffiths, et al., Phys. Rev. A, 56, 1163 (1997).

L. Ye and C.-C. Guo, Phys. Rev. A, 71, 034304 (2005).

S. Mozes, J. Oppenheim, and B. Reznik, Phys. Rev. A, 71, 012311 (2005).

O. Glöckl, S. Lorenz, C. Marquardt, et al., Phys. Rev. A, 68, 012319 (2003).

M. Yang, W. Song, and Z.-L. Cao, Phys. Rev. A, 71, 034312 (2005).

H.-R. Li, F.-L. Li, Y. Yang, and Q. Zhang, Phys. Rev. A, 71, 022314 (2005).

W. K. Wootters, Phys. Rev. Lett., 80, 2245 (1998).

S. Hill and W. K. Wootters, Phys. Rev. Lett., 78, 5022 (1997).

A. Peres, Phys. Rev. Lett., 77, 1413 (1996).

P. Horodecki, Phys. Lett. A, 232, 333 (1997).

J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, NJ (1995).

F. A. A. El-Orany and A.-S. Obada, J. Opt. B: Quantum Semiclass. Opt., 5, 60 (2003).

C. E. Shannon and W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Chicago (1949).

S. J. D. Phoenix and P. L. Knight, Ann. Phys. (N.Y.), 186, 381 (1988).

A. Wehrl, Rev. Mod. Phys., 50, 221 (1978).

A. Wehrl, Rep. Math. Phys., 30, 119 (1991).

V. Bužek, C. H. Keitel, and P. L. Knight, Phys. Rev. A, 51, 2575 (1995).

J. A. Vaccaro and A. Orlowski, Phys. Rev. A, 51, 4172 (1995).

J. B. Watson, C. H. Keitel, P. L. Knight, and K. Burnett, Phys. Rev. A, 54, 729 (1996).

V. Bužek, C. H. Keitel, and P. L. Knight, Phys. Rev. A, 51, 2594 (1995).

A. Anderson and J. J. Halliwell, Phys. Rev. D, 48, 2753 (1993).

A. Orlowski, H. Paul, and G. Kastelewicz, Phys. Rev. A, 52, 1621 (1995).

A.-S. F. Obada and S. Abdel-Khalek, J. Phys. A: Math. Gen., 37, 6573 (2004).

S. Abdel-Khalek, E. M. Khalil, and S. L. Ali, Laser Phys., 18, 1 (2008).

X. Ma and W. Rhodes, Phys. Rev. A, 41, 4625 (1990).

C. F. Lo and R. Sollie, Phys. Rev. A, 47, 733 (1993).

S. L. Braunstein and H. J. Kimble, Phys. Rev. Lett., 80, 869 (1998).

S. F. Pereira, Z. Y. Ou, and H. J. Kimble, Phys. Rev. A, 62, 042311 (2000).

M. D. Reid, Phys. Rev. A, 62, 062308 (2000).

C. Silberhorn, N. Korolkova, and G. Leuchs, Phys. Rev. Lett., 88, 167902 (2002).

M. D. Reid, Phys. Rev. A, 40, 913 (1989).

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett., 68, 3663 (1992).

P. K. Lam, T. C. Ralph, B. C. Buchler, et al., J. Opt. B: Quantum Semiclass. Opt., 1, 469 (1999).

A. M. Marino, C. R. Stroud Jr., V. Wong, et al., Los Alamos Arxiv quant-ph/0605230 v1.

Z. Ai-Dong, Z. Shou, and Z. Yong-Fang, Chinese Phys., 14, 1152 (2005).

V. I. Man’ko and O. V. Man’ko, J. Exp. Theor. Phys., 85, 430 (1997).

M. A. Man’ko, V. I. Man’ko, and R. V. Mendes, J. Russ. Laser Res., 27, 507 (2006).

A. Wehrl, Rep. Math. Phys., 16, 353 (1979).

E. H. Lieb, Coherent states as a Tool for Obtaining Rigorous Bounds. Coherent States: Past, Present, and Future, World Scientific, Singapore (1994), p. 267.

P. Schupp, Commun. Math. Phys., 207, 481 (1999).

A. Cives-Esclop, A. Luis, and L. L. Sanchiz-Soto, J. Mod. Opt., 46, 639 (1999).