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Entanglement Quantifier Based on Atomic Wehrl Entropy for Non-Linear Interaction between a Single Two-Level Atom and SU(1,1) Quantum System
Mathematics Department, Faculty of Science, Taif University, Taif, KSA
Mathematics Department, Faculty of Science, Taif University, Taif, KSA
Mathematics Department, Faculty of Science, Taif University, Taif, KSA
- 1 Mathematics Department, Faculty of Science, Taif University, Taif, KSA
- 2 Mathematics Department, Faculty of Science, Taif University, Taif, KSA
- 3 Mathematics Department, Faculty of Science, Taif University, Taif, KSA
Journal of Quantum Information Science·Volume 04 (2014)·Pages 44–53·Published 15 February 2014·DOI10.4236/jqis.2014.41004
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Abstract
In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Wehrl density for a single two-level atom interacting with SU(1,1) quantum sys tem. We obtain the expectation values of the atomic variables using specific initial conditions. We examine the effects of different parameters on the scaled atomic Wehrl entropy and marginal atomic Wehrl density. We observe an interesting monotonic relation between the different physi cal quantities for different values of the initial atomic position and detuning parameter.
KeywordsScaled Atomic Wehrl EntropyAtomic Q-FunctionAtomic Inversion
- von Neumann, J. (1955) Mathematical Foundations of Quantum Mechanics. rinceton University Press, Princeton.
- Berrada, K., Fanchini, F. and Abdel-Khalek, S. (2012) Quantum Correlations between Each Qubit in a Two-Atom System and the Environment in Terms of Interatomic Distance. Physical Review A, 85, Article ID: 052315. http://dx.doi.org/10.1103/PhysRevA.85.052315
- Berrada, K., Abdel-Khalek, S. and Obada, A.-S.F. (2012) Quantum Fisher Information for a Qubit System Placed inside a Dissipative Cavity. Physics Letters A, 376, 1412-1416. http://dx.doi.org/10.1016/j.physleta.2012.03.023
- Wisemann, H.M. and Milburn, G.J. (2010) Quantum Measurement and Control. Cambridge University Press, Cambridge.
- Popescu, S. and Rohrlich, D. (1997) Thermodynamics and the Measure of Entanglement. Physical Review A, 56, Article ID: R3319. http://dx.doi.org/10.1103/PhysRevA.56.R3319
- Lopez, C.E., Romero, G., Lastra, F., Solano, E. and Retamal, J.C. (2008) Sudden Birth versus Sudden Death of Entanglement in Multipartite Systems. Physical Review Letters, 101, Article ID: 080503. http://dx.doi.org/10.1103/PhysRevLett.101.080503
- Abdel-Aty, M., Abdalla, M.S. and Obada, A.S.F. (2001) Quantum Information and Entropy Squeezing of a Two-Level Atom with a Non-Linear Medium. Journal of Physics A: Mathematical and General, 34, 9129. http://dx.doi.org/10.1088/0305-4470/34/43/303
- Zhang, J.-S. and Chen, A.-X. (2012) Review of Quantum Discord in Bipartite and Multipartite Systems. Quantum Physics Letters, 1, 69-77.
- Mohamed, A.-B.A. (2013) Quantum Discord and Its Geometric Measure with Death Entanglement in Correlated Dephasing Two Qubits System. Quantum Physics, 1, 1-7.
- Abdel-Aty, M. (2005) Information Entropy of a Time-Dependent Three-Level Trapped Ion Interacting with a Laser Field. Journal of Physics A: Mathematical and General, 38, 8589. http://dx.doi.org/10.1088/0305-4470/38/40/008
- Abdel-Aty, M. (2007) Quantum Information Entropy and Multi-Qubit Entanglement. Progress in Quantum Electronics, 31, 1-49.
- Manue Moya-Cessa, H. and Christodoulides, D.N. (2013) A Simple Way to Reconstruct the Wigner Function. Applied Mathematics & Information Sciences, 7, 839-841. http://dx.doi.org/10.12785/amis/070301
- Gravel, C. (2012) Structure of the Probability Distribution for the GHZ Quantum State under Local von Neumann Measurements. Quantum Physics Letters, 1, 87.