Heliyon

From Wigner hyperbolic rotation to fractional squeezing transformation

Weifeng Wu, Peng Fu, Hua-Kui Hu

Published Mar 1, 2024• 0 citations

Abstract

Based on the usual Wigner-Weyl transformation theory we find that the Wigner hyperbolic rotation in phase space will map onto fractional squeezing operator in Hilbert space. The merit of Weyl ordering and the coherent state representation of Fresnel operator is used in our derivation.

DOI: 10.1016/j.heliyon.2024.e27590

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