Luis Aina, AlfredoKorolkova, Natalia2023-06-202023-06-202006-10-23[1] S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005); Quantum Information with Continuous Variables, edited by S. L. Braunstein and A. K. Pati (Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003). [2] N. Korolkova and R. Loudon, Phys. Rev. A 71, 032343 (2005); N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and Ch. Silberhorn, ibid. 65, 052306 (2002). [3] V. Josse, A. Dantan, A. Bramati, M. Pinard, E. Giacobino, J. Heersink, U. L. Andersen, O. Glöckl, and G. Leuchs, in Quantum Information with continuous variables of atoms and light, edited by N. Cerf, G. Leuchs, and E. S. Polzik (Imperial College Press, London, UK, 2006), Sec. 2.1. [4] R. Delbourgo, J. Phys. A 10, 1837 (1977); A. Luis and L. L. Sánchez-Soto, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2000), Vol. 41, p. 421; S. Gnutzmann and K. Życzkowski, J. Phys. A 34, 10123 (2001); A. Luis, Phys. Rev. A 66, 013806 (2002). [5] M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138 (1993). [6] D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A 50, 67 (1994). [7] M. Hillery and L. Mlodinow, Phys. Rev. A 48, 1548 (1993); C. Brif and A. Mann, ibid. 54, 4505 (1996). [8] A. Sørensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001). [9] S. Raghavan, H. Pu, P. Meystre, and N. P. Bigelow, Opt. Commun. 188, 149 (2001). [10] J. Hald, J. L. Sorensen, C. Schori, and E. S. Polzik, J. Mod. Opt. 47, 2599 (2000). [11] J. Heersink, T. Gaber, S. Lorenz, O. Glöckl, N. Korolkova, and G. Leuchs, Phys. Rev. A 68, 013815 (2003).1050-294710.1103/PhysRevA.74.043817https://hdl.handle.net/20.500.14352/51494©2006 The American Physical Society. A.L. acknowledges support from Project No. FIS2004-01814 of the Spanish Dirección General de Investigación del Ministerio de Educación y Ciencia. N.K. acknowledges funding from the EU Project No. FP6-511004 COVAQIAL.We formulate polarization uncertainty relations and polarization squeezing criteria in a SU(2) invariant manner. In this formulation the SU(2) coherent states are the only minimum uncertainty states. We show that polarization squeezing is a nonclassical property. We analyze the relation between polarization squeezing and other nonclassical properties such as entanglement and quadrature squeezing.engjournal articlehttp://dx.doi.org/10.1103/PhysRevA.74.043817http://journals.aps.org/open access535OpticsPhysicsatomicmolecular & chemicalÓptica (Física)2209.19 Óptica Física