Optical complex integration-transform for deriving complex fractional squeezing operator

doi:10.1088/1674-1056/ab6dc9

Abstract We find a new complex integration-transform which can establish a new relationship between a two-mode operator's matrix element in the entangled state representation and its Wigner function. This integration keeps modulus invariant and therefore invertible. Based on this and the Weyl-Wigner correspondence theory, we find a two-mode operator which is responsible for complex fractional squeezing transformation. The entangled state representation and the Weyl ordering form of the two-mode Wigner operator are fully used in our derivation which brings convenience.

Keywords: integration-transform two-mode entangled state Weyl-Wigner correspondence theory

Received: 12 November 2019
Revised: 17 January 2020
Published: 05 March 2020

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)
	63.20.-e	(Phonons in crystal lattices)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775208) and Key Projects of Huainan Normal University, China (Grant No. 2019XJZD04).

Corresponding Authors: Cheng-Yu Fan
E-mail: cyfan@aiofm.ac.cn

Cite this article:

Ke Zhang(张科), Cheng-Yu Fan(范承玉), Hong-Yi Fan(范洪义) Optical complex integration-transform for deriving complex fractional squeezing operator 2020 Chin. Phys. B 29 030306

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