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Unpolarized states and hidden polarization

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Publication Date
2014-10-15
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Hoz Iglesias, Pablo de la
Björk, G.
Klimov, Andrei B.
Leuchs, Gerd
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American Physical Society
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We capitalize on a multipolar expansion of the polarization density matrix, in which multipoles appear as successive moments of the Stokes variables. When all the multipoles up to a given order K vanish, we can properly say that the state isKth-order unpolarized, as it lacks of polarization information to that order. First-order unpolarized states coincide with the corresponding classical ones, whereas unpolarized to any order tally with the quantum notion of fully invariant states. In between these two extreme cases, there is a rich variety of situations that are explored here. The existence of hidden polarization emerges in a natural way in this context.
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©2014 American Physical Society. Financial support from the Swedish Foundation for International Cooperation in Research and Higher Education (STINT), the Swedish Research Council (VR) through its Linnæus Center of Excellence ADOPT and Contract No. 621-2011-4575, the Mexican CONACyT (Grant No. 106525), the EU FP7 (Grant Q-ESSENCE), and the Spanish MINECO (Grant No. FIS2011-26786) is gratefully acknowledged.
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[1] G. G. Stokes, Trans. Cambridge Phil. Soc. 9, 399 (1852). [2] E. Verdet, Lec¸ons d’ Optique Physique, edited by A. Levistal, Vol. 2 (Imprimerie Impériale, Paris, 1869), pp. 78–98. [3] N. G. van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed. (Elsevier, Amsterdam, 2007). [4] R. Barakat, J. Opt. Soc. Am. A 6, 649 (1989). [5] M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, 1999). [6] H. Paul and J. Wegmann, Opt. Commun. 112, 85 (1994). [7] H. Prakash and N. Chandra, Phys. Rev. A 4, 796 (1971). [8] G. S. Agarwal, Lett. Nuovo Cimento 1, 53 (1971). [9] J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996). [10] J. Söderholm, G. Björk, and A. Trifonov, Opt. Spectrosc. 91, 532 (2014). [11] C. R.Müller, B. Stoklasa, C. Peuntinger, C. Gabriel, J. Rӗhácӗk, Z. Hradil, A. B. Klimov, G. Leuchs, C. Marquardt, and L. L. Sánchez-Soto, New J. Phys. 14, 085002 (2012). [12] L. L. Sánchez-Soto, A. B. Klimov, P. de la Hoz, and G. Leuchs, J. Phys. B 46, 104011 (2013). [13] P. de la Hoz, A. B. Klimov, G. Björk, Y. H. Kim, C. Müller, C. Marquardt, G. Leuchs, and L. L. Sánchez-Soto, Phys. Rev. A 88, 063803 (2013). [14] K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981). [15] D. N. Klyshko, Phys. Lett. A 163, 349 (1992). [16] D. M. Klyshko, JETP 84, 1065 (1997). [17] A. Luis and L. L. Sánchez-Soto, Prog. Opt. 41, 421 (2000). [18] J. Schwinger, in Quantum Theory of Angular Momentum, edited by L. C. Biedenharn and H. Dam (Academic, New York, 1965). [19] M. G. Raymer, D. F. McAlister, and A. Funk, in Quantum Communication, Computing, and Measurement 2, edited by P. Kumar (Plenum, New York, 2000). [20] V. P. Karassiov and A. V. Masalov, JETP 99, 51 (2004). [21] D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988). [22] E. T. Jaynes, Probability Theory: The Logic of Science (Cambridge University Press, Cambridge, 2003). [23] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972). [24] A. Perelomov, Generalized Coherent States and their Applications (Springer, Berlin, 1986). [25] C. Marquardt, J. Heersink, R. Dong, M. V. Chekhova, A. B. Klimov, L. L. Sánchez-Soto, U. L. Andersen, and G. Leuchs, Phys. Rev. Lett. 99, 220401 (2007). [26] G. K. Gupta, A. Kumar, and R. S. Singh, Opt. Commun. 284, 4951 (2011). [27] J. Zimba, EJTP 3, 143 (2006). [28] O. Giraud, P. Braun, and D. Braun, New J. Phys. 12, 063005 (2010). [29] D. Baguette, T. Bastin, and J. Martin, Phys. Rev. A 90, 032314 (2014). [30] G. Björk, J. Söderholm, L. L. Sánchez-Soto, A. B. Klimov, I. Ghiu, P. Marian, and T. A. Marian, Opt. Commun. 283, 4440 (2010). [31] A. Peres, Quantum Theory: Concepts and Methods (Kluwer, New York, 2002). [32] P. Usachev, J. Söderholm, G. Björk, and A. Trifonov, Opt. Commun. 193, 161 (2001). [33] A. Sehat, J. Söderholm, G. Björk, P. Espinoza, A. B. Klimov, and L. L. Sánchez-Soto, Phys. Rev. A 71, 033818 (2005). [34] J. Crann, R. Pereira, and D. W. Kribs, J. Phys. A 43, 255307 (2010). [35] E. Bannai and M. Tagami, J. Phys. A 44, 342002 (2011). [36] R. L. Stratonovich, Zh. Eksp. Teor. Fiz. 31, 1012 (1956) [Sov. Phys. JETP 4, 891 (1957)]. [37] F. A. Berezin, Commun. Math. Phys. 40, 153 (1975).
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