JMP  Vol.2 No.7 , July 2011
Quantum Statistical Properties of the Interactions of Atom-Field Entanglement between Conducting Plates
Author(s) Eied Khalil
ABSTRACT
The electromagnetic field inside perfectly conducting parallel plates interacting with two-level atom is investigated. The cavity modes are firstly quantized, allowing the effective Hamiltonian to be evaluated for an electric dipole located at an arbitrary point. Some statistical aspect of this effective Hamiltonian such as the temporal evolution of the atomic inversion and the von Neuman entropy are presented. Theses aspects are sensitive to the changes of the distance between the two plates, which control the number of the propagating of the cavity modes.

Cite this paper
nullE. Khalil, "Quantum Statistical Properties of the Interactions of Atom-Field Entanglement between Conducting Plates," Journal of Modern Physics, Vol. 2 No. 7, 2011, pp. 724-729. doi: 10.4236/jmp.2011.27085.
References
[1]   M. Nielsen and I. Chuang, “Quantum Computation and Information,” Cambridge University Press, Cambridge, 2000.

[2]   D. Bouwmeester, A. Ekert and A. Zeilinger, Eds., “The Physics of Quantum Information,” Springer, Berlin, 2000.

[3]   E. T. Jaynes and F. W. Cummings, “Comparison of Quantum and Semiclassical Radiation Theory with Application to the Beam Maser,” Proceedings of IEEE, Vol. 51, No. 1, 1963, pp. 89-109. doi:10.1109/PROC.1963.1664

[4]   S. J. D. Phoenix and P. L. Knight, “Establishment of an Entangled Atom-Field State in the Jaynes-Cummings Model,” Physical Review A, Vol. 44, No. 9, 1991, pp. 6023-6029. doi:10.1103/PhysRevA.44.6023

[5]   P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko and Y. Shih, “New High-Intensity Source of Polarization-Entangled Photon Pairs,” Physical Review Letters, Vol. 75, No. 24, 1995, pp. 4337-4342. doi:10.1103/PhysRevLett.75.4337

[6]   E. Hagley, X. Ma?tre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond and S. Haroche, “Generation of Einstein-Podolsky-Rosen Pairs of Atoms,” Physical Review Letters, Vol. 79, No. 1, 1997, pp. 1-15. doi:10.1103/PhysRevLett.79.1

[7]   Q. A. Turchette , C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic Entanglement of Two Trapped Ions,” Physical Review Letters, Vol. 81, No. 17, 1998, pp. 3631-3638. doi:10.1103/PhysRevLett.81.3631

[8]   A. Beige, D. Braun, B. Tregenna and P. L. Knight, “Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace,” Physical Review Letters, Vol. 85, No. 8, 2000, pp. 1762-1767. doi:10.1103/PhysRevLett.85.1762

[9]   S. Sorensen and K. Molmer, “Probabilistic Generation of Entanglement in Optical Cavities,” Physical Review Letters, Vol. 90, No. 12, 2003, pp. 127903-127908. doi:10.1103/PhysRevLett.90.127903

[10]   C. Marr, A. Beige and G. Rempe, “Entangled-State Preparation via Dissipation-Assisted Adiabatic Passages,” Physical Review A, Vol. 68, No. 3, 2003, pp. 033817- 033822. doi:10.1103/PhysRevA.68.033817

[11]   J. I. Cirac, P. Zoller, H. J. Kimble and H. Mabuchi, “Quantum State Transfer and Entanglement Distribution among Distant Nodes in a Quantum Network,” Physical Review Letters, Vol. 78, No. 16, 1997, pp. 3221-3226. doi:10.1103/PhysRevLett.78.3221

[12]   K. Molmer, “Entanglement of Distant Atoms by a Continuous Supply of Quantum Correlated Photons,” Optics Communications, Vol. 179, No. 1-6, 2000, pp. 429-435.

[13]   X.-L. Feng, X.-D. Li, S.-Q. Gong and Z.-Z. Xu, “Entangling Distant Atoms by Interference of Polarized Photons,” Physical Review Letters, Vol. 90, No. 21, 2003, pp. 217902-217907. doi:10.1103/PhysRevLett.90.217902

[14]   E. Browne, M. B. Plenio and S. F. Huelga, “Robust Creation of Entanglement between Ions in Spatially Separate Cavities,” Physical Review Letters, Vol. 91, No. 6, 2003, pp. 067901-067906. doi:10.1103/PhysRevLett.91.067901

[15]   B. Kraus and J. I. Cirac, “Discrete Entanglement Distribution with Squeezed Light,” Physical Review Letters, Vol. 92, No. 1, 2004, pp. 013602-013608. doi:10.1103/PhysRevLett.92.013602

[16]   S. A. Al-Awfi and E. M. Khalil, “Atom-Field Entanglement between Conducting Plates,” International Review of Physics, Vol. 3, 2008, pp. 147-153.

[17]   S. Al-Awfi and M. Babiker, “Atom Dynamics between Conducting Plates,” Physical Review A, Vol. 58, No. 3, 1998, pp. 2274-2281. doi:10.1103/PhysRevA.58.2274

[18]   S. Bougouffa and S. Al-Awfi, “The Dynamics of the Jaynes-Cummings Model in Nanostructures,” Physica Scripta, Vol. 2009, No. T135, 2009, p. 014011. doi:10.1088/0031-8949/2009/T135/014011

[19]   A.-S. F. Obada, M. M. A. Ahmed, F. K. Faramawy and E. M. Khalil, “Entropy and Entanglement of the Nonlinear Jaynes-Cummings Model,” Chinese Journal of Physics, Vol. 42, No. 1, 2004, pp. 79-86.

[20]   M. M. A. Ahmed, E. M. Khalil and A.-S. F. Obada, “Generation of a Nonlinear Stark Shift through the Adiabatic Elimination Method,” Optics Communications, Vol. 254, No. 1-3, 2005, pp. 76-84. doi:10.1016/j.optcom.2005.05.016

[21]   A.-S. F. Obada, M. M. A. Ahmed and E. M. Khalil, “Generation of a Nonlinear Two-Mode Stark Shift through the Adiabatic Elimination Method,” Journal of Modern Optics, Vol. 53, No. 8, 2006, pp. 1149-1155. doi:10.1080/09500340600551440

[22]   A.-S. F. Obada, M. M. A. Ahmed, F. K. Faramawy and E. M. Khalil, “Influence of Kerr-Like Medium on a Nonlinear Two-Level Atom,” Chaos, Solitons & Fractals, Vol. 28, No. 4, 2006, pp. 983-988. doi:10.1016/j.chaos.2005.08.176

 
 
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