Optics and Spectroscopy
To authors
Volumes and Issues
- 2023
- 2022
Angular distributions and polarization correlations of two-photon spherical states
The properties of angular polarization at the center of mass reference of a system of two-photon spherical Landau states in momentum space are analyzed in detail. The angular distributions for fixed values of J and M do not depend on the parity of P, but are determined by two different functions of the polar angle between the relative momentum and the quantization axes. Two-photon polarization density matrices are derived for each value of J, M and P. The correlations of the linear polarization of individual photons are analyzed in detail. In addition to the usual correlation laws for J ≥ 2, expressed in terms of sin and cos angles between analyzer orientations, correlations are found in terms of the sum of analyzer orientation angles. Keywords: two-photon states, quantum entanglement, parity, selection rules, helicity, polarization, angular momentum, Wigner function, stokes parameters.
- Br-Tel G.Breit and E.Teller, Metastability of hydrogen and helium levels, Astrophys. J. 91 (1940) 215--239. GM M. Goeppert-Mayer, Uber Elementarakte mit zwei Quantenspr ungen, Ann. Phys. (Leipzig) 9 (1931) 273--295 . Sun J. Chluba and R.A. Sunyaev, Two-photon transitions in hydrogen and cosmological recombination A \& A 480, (2008) 629--645. Peeb P.J.E. Peebles, Principles of physical cosmology (Princeton University Press, Princeton, NJ, 2020). Asp A. Aspect, J. Dalibard, and G. Roger, Experimental test of Bell's inequalities using time-varying analyzers, Phys. Rev. Lett. 49 (1982) 1804--1807. Klei H. Kleinpoppen, A.J. Duncan et al., Coherence and polarization analtsis of the two-photon radiation of metastable atomic hydrogen, Phys. Script. T 72 (1997) 7--17. Gis W. Tittel, J. Brendel, et al., Violation of Bell inequalities by photons more than 10 km apart, Phys. Rev. Lett. 81 (1998) 3563--3567. Sch A. Schafer, G. Soff, et al., Prospects for an atomic parity-violation experiment in U90+, Phys. Rev. A 40 (1989) 7362--7365. Frat F. Fratini, S. Trotsenko, et al., Photon-photon polarization correlations as a tool for studying parity nonconservation in heliumlike uranium, Phys. Rev. A 83 (2011) 052505. Land L.D. Landau, On the momentum of a system of two photons (in Russian), Dokl. Akad. Nauk USSR, 60 (1948) 207--209. Yang C. N. Yang, Selection rules for the dematerialization of a particle into two photons, Phys. Rev. 77 (1950) 242--245. DBD83 D. DeMille, D. Budker, N. Derr, and E. Deveney, Search for Exchange-Antisymmetric Two-photon States, Phys. Rev. Lett. 83 (1999) 3978. KEB09 M.G. Kozlov, D. English, and D. Budker, Symmetry-suppressed two-photon transitions induced by hyperfine interactions and magnetic fields, Phys. Rev. A 80 (2009) 042504. ZSL15 T. Zalialiutdinov, D. Solovyev, L. Labzowsky, and G. Plunien, Exclusion principle for photons: Spin-statistic selection rules for multiphoton transitions in atomic systems, Phys. Rev. A 91 (2015) 033417. ZSL17 T. Zalialiutdinov, D. Solovyev, L. Labzowsky, Generalized spin-statistic selection rules for atomic transitions with arbitrary number of equivalent photons, The European Physical Journal Special Topics 226 (2017) 2837-2842. Jacob M. Jacob and G.C. Wick, On the General Theory of Collisions for Particles with Spin, Ann. Phys. (N.Y.) 7 (1959) 404--428. LLIV V.B. Berestetskii, E.M. Lifshitz, and L.P. Pitaevskii, Quantum Electrodynamics (Pergamon Press, Oxford, 2010). Jack J.D. Jackson, Classical electrodynamics (John Wiley \& Sons, Inc., 1998). Akh A.I. Akhiezer and V.B. Berestetskii, Quantum electrodynamics (John Wiley \& Sons, Inc., 1965). Varsh D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988). F1 U. Fano, Description of states in quantum mechanics by density matrix and operator techniques, Rev. Mod. Phys. 29 (1957) 74--94. vem V.E. Mkrtchian and V.O. Chaltykian, Polarization states of the two-photon system, Opt. Comm. 63 (1987) 239--242. Blum K. Blum, Density matrix theory and applications (Springer-Verlag, Berlin, Heidelberg, 2012). F2 U. Fano, Pairs of two-level systems, Rev. Mod. Phys. 55 (1983) 855--874 . RB R. Balian, On the principles of quantum mechanics and the reduction of the wave packet, Am. J. Phys. 57 (1989) 1019--1027. ma M. Alexanian and V.E. Mkrtchian, Quantum entropy and polarization measurement of the two-photon system, Phys. Rev. A 97 (2018) 022326(8)
Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.
Дата начала обработки статистических данных - 27 января 2016 г.