Fractional squeezing-Hankel transform based on the induced entangled state representations

doi:10.1088/1674-1056/27/9/094206

Abstract

Based on the fact that the quantum mechanical version of Hankel transform kernel (the Bessel function) is just the transform between |q,r> angle and (s,r'|, two induced entangled state representations are given, and working with them we derive fractional squeezing-Hankel transform (FrSHT) caused by the operator e^{-iα(a₁^†a₂^†+a₁a₂)}e^{-iπa₂^†a₂}, which is an entangled fractional squeezing transform operator. The additive rule of the FrSHT can be explicitly proved.

Keywords: induced entangled state representation entangled fractional squeezing transform fractional squeezing-Hankel transform

Received: 10 March 2018
Revised: 11 May 2018
Accepted manuscript online:

PACS:	42.50.-p	(Quantum optics)
	03.65.-w	(Quantum mechanics)
	02.30.Gp	(Special functions)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11304126) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20130532).

Corresponding Authors: Cui-Hong Lv
E-mail: lvch@mail.ujs.edu.cn

Cite this article:

Cui-Hong Lv(吕翠红), Su-Qing Zhang(张苏青), Wen Xu(许雯) Fractional squeezing-Hankel transform based on the induced entangled state representations 2018 Chin. Phys. B 27 094206

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