Abstract
The correlations of the linear and circular polarizations in the system of two photons have been theoretically investigated. The polarization of a two-photon state is described by the one-photon Stokes parameters and by the components of the correlation “tensor” in the Stokes space. It is shown that in the case of two-photon decays π0 → 2γ, η → 2γ, K 0 L → 2γ, K 0 S → 2γ and the cascade process |0〉 → |1〉 + γ → |0〉 + 2γ(|0〉 and |1〉 are states with the spin 0 and 1, respectively) the final two-photon state represents a characteristic example of the entangled (nonfactorizable) state, and the correlations between the Stokes parameters in all these decays have the purely quantum character: the incoherence inequalities of the Bell type for the components of the correlation “tensor”, established previously for the case of classical “mixtures”, are violated. The general analysis of the registration procedure for two correlated photons by two one-photon detectors is performed.
Similar content being viewed by others
References
V. L. Lyuboshitz and M. I. Podgoretsky, Yad. Fiz. 60, 45 (1997) [Phys. At. Nucl. 60, 39 (1997)].
V. L. Lyuboshitz, in Proc. of XXXIV Winter School of Petersburg Nuclear Physics Institute on Physics of Atomic Nucleus and Elementary Particles (St.-Petersburg, 2000), p. 402.
V. V. Lyuboshitz and V. L. Lyuboshitz, Yad. Fiz. 63, 837 (2000) [Phys. At. Nucl. 63, 767 (2000)].
R. Lednicky and V. L. Lyuboshitz, Phys. Lett. B 508, 146 (2001).
R. Lednicky, V. V. Lyuboshitz, and V. L. Lyuboshitz, Yad. Fiz. 66, 1007 (2003) [Phys. At. Nucl. 66, 975 (2003)].
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 477 (1935).
V. L. Lyuboshitz and Ya. A. Smorodinsky, Zh. Eksp. Teor. Fiz. 42, 846 (1962) [Sov. Phys. JETP 15, 589 (1962)].
V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitayevsky, Course of Theoretical Physics, Vol. 4: Quantum Electrodynamics (Nauka, Moscow, 1989; Pergamon, Oxford, 1982,)§§ 8, 87.
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975), § 50.
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Lyuboshitz, V.L., Lyuboshitz, V.V. Correlations of polarizations and entangled states in the two-photon system. Phys. Part. Nuclei Lett. 6, 594–598 (2009). https://doi.org/10.1134/S154747710907022X
Published:
Issue Date:
DOI: https://doi.org/10.1134/S154747710907022X