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Uncertainty relation and photon-number distribution for one-and two-mode squeezed light
Authors:Anton A Kolesnikov  Vladimir I Man’ko
Institution:(1) Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700, Russia;(2) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia
Abstract:We study the one-and two-mode photon distribution functions for Gaussian quantum states. The dependence on the photon-quadrature parameters is discussed within the framework of violation of the uncertainty relation. We derive the one-and two-mode photon distribution functions and present plots demonstrating that the expressions for the distribution functions take negative or complex values in the domain of quadrature parameters violating the uncertainty relation.
Keywords:photon distribution  photon statistics  uncertainty relation  coherent state  squeezed light  squeezed vacuum
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