Quantum distribution functions in the phase space of cylindrical coordinates

N. A. Denisova, V. L. Kon'kov

B. Lesche

Alejandro Cámara, Tatiana Alieva, José A. Rodrigo +1 more

We propose a simple approach for the phase space tomography reconstruction of the Wigner distribution of paraxial optical beams separable in Cartesian coordinates. It is based on the measurements of the antisymmetric fractional Fourier transform power spectra, which can be taken using a flexible optical setup consisting of four cylindrical lenses. The numerical simulations and the experimental results clearly demonstrate the feasibility of the proposed scheme.

Hai-Woong Lee

Isiaka Aremua, Jean‐Pierre Gazeau, Mahouton Norbert Hounkonnou

Quantum versions of cylindric phase space, like for the motion of a particle on a circle, are obtained through different families of coherent states. The latter are built from various probability distributions of the action variable. The method is illustrated with Gaussian distributions and uniform distributions on intervals, and resulting quantizations are explored.