RT Journal Article T1 Unpolarized states and hidden polarization A1 Hoz Iglesias, Pablo de la A1 Björk, G. A1 Klimov, Andrei B. A1 Leuchs, Gerd A1 Sánchez Soto, Luis Lorenzo AB 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. PB American Physical Society SN 1050-2947 YR 2014 FD 2014-10-15 LK https://hdl.handle.net/20.500.14352/33875 UL https://hdl.handle.net/20.500.14352/33875 LA eng NO ©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. NO Swedish Foundation for International Cooperation in Research and Higher Education (STINT) NO Swedish Research Council (VR) NO Linnæus Center of Excellence NO Mexican CONACyT NO Ministerio de Economía y Competitividad (MINECO), España DS Docta Complutense RD 6 abr 2025