Publication: Polarization distribution and degree of polarization for three-dimensional quantum light fields
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2005-06-22
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American Physical Society
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Abstract
We introduce a probability distribution for polarization of three-dimensional quantum light fields as a marginal of the quadrature Q function for a three-mode field by removing the variables irrelevant for polarization (total intensity and global phased. The probability distribution turns out to be determined by projection on SU(3) coherent states. We introduce a degree of polarization as the distance between the polarization distribution and the uniform distribution associated with completely unpolarized light. We study the relation between two- and three-dimensional polarization by considering field states with a component in the vacuum state. We apply this formalism to some relevant field states.
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©2005 The American Physical Society. I thank Professor J. J. Gil for valuable comments and suggestions. This work has been supported by Project No. FIS2004-01814 of the Spanish Dirección General de Investigación del Ministerio de Educación y Ciencia.
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