Abstract
We study kinematic and dynamic ways of forming entangled states of quantum light fields due to their local and global polarization SU(2) symmetries. The kinematic entanglement is shown to be associated with particular polarization bases in the spaces of quantum states of multi-mode radiation, which are generated by the global SU(2) — symmetry. Dynamic entanglement is due to SU(2) symmetries of the Hamiltonians of the matter-radiation interaction. We also define some entanglement measures, which are related to characteristics of light depolarization. Applications of results obtained in biphoton optics are briefly discussed.
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References
E. Schrödinger, “Die Gegenwärtige Situation in der Quantenmechanik,” Naturwiss. B 23, 807–849 (1935).
A. Einstein, B. Podolsky, and N. Rosen, “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?,” Phys. Rev. 47, 777–780 (1935).
R. F. Werner, “Quantum States with Einstein-Podolsky-Rosen Correlations Admitting a Hidden-Variable Model,” Phys. Rev. A 40, 4277–4281 (1989).
W. K. Wooters, “Entanglement of Formation of An Arbitrary State of Two Qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998).
V. Vedral and M. B. Plenio, “Entanglement Measures and Purification Procedures,” Phys. Rev. A 57, 1619–1633 (1998).
The Physics of Quantum Information: Quantun Cryptography, Quantum Teleportation, Quantum Computation, Ed. by D. Boumeester, A. K. Ekert, and A. Zeilinger (Springer-Verlag, Berlin, 2000).
K. G. H. Vollbrecht and R. F. Werner, “Entanglement Measures Under Symmetry,” Phys. Rev. A 64, 062307-1–15 (2001).
V. Vedral and E. Kashefi, “Uniqueness of the Entanglement Measure for Bipartite Pure States and Thermodynamics,” Phys. Rev. Lett. 89, 037903-1–4 (2002).
A. Ya. Kazakov, “The Geometric Measure of Entanglement of Three-Partite Pure States,” Int. J. Quant. Inform. 4, 907–915 (2006).
V. P. Karassiov, “Polarization Structure of Quantum Light Fields: A New Insight. 1: General Outlook,” J. Phys. A 26, 4345–4354 (1993).
J. M. Jauch and F. Rohrlich, Theory of Photons and Electrons (Springer, Berlin, 1976).
V. P. Karassiov, “P-Quasispin Formalism in Polarization Optics,” JETP Lett. 84, 640–644 (2006).
V. P. Karassiov, “Polarization of Light in Classical and Quantum Optics: Concepts and Applications,” Opt. Spektrosk. 103, 143–150 (2007) [Opt. Spectrosc. 103, 137 (2007)].
D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonsky, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975; World Sci., Singapore, 1988).
D. N. Klyshko, Photons and Nonlinear Optics (Nauka, Moscow, 1980) [in Russian].
D. A. Kalashnikov, V. P. Karassiov, S. P. Kulik, et al., “Generation of Entangled States in Multiply Domained KH2PO4 Crystals,” JETP Lett. 87, 66–71 (2008).
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