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arXiv · 1803.09064

Center of mass tomography and Wigner function for multimode photon states

Ivan Dudinets·Vladimir Manko
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Abstract

Tomographic probability representation of multimode electromagnetic field states in the scheme of center-of-mass tomography is reviewed. Both connection of the field state Wigner function and observable Weyl symbols with the center-of-mass tomograms as well as connection of Gr\"onewold kernel with the center-of-mass tomographic kernel determining the noncommutative product of the tomograms are obtained. The dual center-of-mass tomogram of the photon states are constructed and the dual tomographic kernel is obtained. The models of other generalised center-of-mass tomographies are discussed. Example of two-mode Schr\"odinger cat states is presented in details

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Ivan Dudinets, Vladimir Manko. 2018-03-24. Center of mass tomography and Wigner function for multimode photon states. https://doi.org/10.1007/s10773-018-3690-x

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