From Wigner hyperbolic rotation to fractional squeezing transformation

Wei-Feng Wu; Peng Fu; Hua-Kui Hu

Heliyon (Mar 2024)

From Wigner hyperbolic rotation to fractional squeezing transformation

Wei-Feng Wu,
Peng Fu,
Hua-Kui Hu

Affiliations

Wei-Feng Wu: School of Mechanical and Electrical Engineering, Chizhou University, Chizhou 247000, Anhui, China; Research Center about Capacitive Touch Screen and Optical Vacuum Coating Engineering Technology of Chizhou, Anhui, China; Anhui Research Center of Semiconductor Industry, Generic Technology, China; Corresponding author.
Peng Fu: School of Mechanical and Electrical Engineering, Chizhou University, Chizhou 247000, Anhui, China; Research Center about Capacitive Touch Screen and Optical Vacuum Coating Engineering Technology of Chizhou, Anhui, China
Hua-Kui Hu: School of Mechanical and Electrical Engineering, Chizhou University, Chizhou 247000, Anhui, China; Anhui Research Center of Semiconductor Industry, Generic Technology, China

Journal volume & issue: Vol. 10, no. 6
p. e27590

Abstract

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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.

Published in Heliyon

ISSN: 2405-8440 (Online)
Publisher: Elsevier
Country of publisher: United Kingdom
LCC subjects: Science: Science (General); Social Sciences: Social sciences (General)
Website: https://www.cell.com/heliyon/home

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