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On the similarities between the Wigner distribution function in classical and quantum optics

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We show that, since the classical and quantum optical phase space differ only through scale factors, the Wigner distribution function in classical and quantum phase spaces are similar as long as the classical field has the same form as the quantum wavefunction in the configuration representation. As an example we have obtained by classical means a Wigner distribution function with the same form as that of an even SchrÎdinger cat state. We have also shown that the effect of the squeezing operator in the phase space can be simulated by a classical optical set-up consisting of a magnifier or of a combination of a magnifier and fractional Fourier transform devices.
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Keywords: Classical optics; higher distribution function; quantum optics

Document Type: Original Article

Affiliations: 1: University of Bucharest, Physics Dept., P. O. Box MG-11, 76900 Bucharest, Romania 2: National Institute for Research and Development in Microtechnology (IMT), P. O. Box 38-160, 72225 Bucharest, Romania

Publication date: 2002-01-01

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