SU(2) coherent states in parametric down-conversion

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The states generated from the vacuum in two parametric down-conversion crystals with aligned idler beams are studied. It is shown that after a measurement of the photon number in some of the modes, the emerging states can be related to SU(2) and SU(1,1) coherent acid minimum-uncertainty states.
© 1996 The American Physical Society. We would like to thank Professor V. Peřinová and Dr. A. Lukš for carefully reading the manuscript. A.L. also acknowledges the support of a grant from the Ministerio Español de Educación y Ciencia and the kind hospitality from the Optics Department of the Palacký University.
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