From Wigner hyperbolic rotation to fractional squeezing transformation.

Heliyon

School of Mechanical and Electrical Engineering, Chizhou University, Chizhou 247000, Anhui, China.

Published: March 2024

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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10950864PMC
http://dx.doi.org/10.1016/j.heliyon.2024.e27590DOI Listing

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