New light fields based on integration theory within the Weyl ordering product of operators

doi:10.1088/1674-1056/ac7e34

Abstract The development of quantum optics theory based on the method of integration within an ordered product of operators (IWOP) has greatly stimulated the study of quantum states in the light field, especially non-Gaussian states with various non-classical properties. In this paper, the two-mode squeezing operator is derived with integral theory within the Weyl ordering product of operators using a combinatorial field in which one mode is a chaotic field and the other mode is a vacuum field. The density operator of the new light field, its entanglement property and photon number distribution are analyzed. We also note that tracing a three-mode pure state can yield this new light field. These methods represent a theoretical approach to investigating new density operators of light fields.

Keywords: integration within an ordered product of operators two-mode squeezing operator Weyl ordering entanglement property

Received: 26 April 2022
Revised: 27 June 2022
Accepted manuscript online: 05 July 2022

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775208), the Foundation for Young Talents in College of Anhui Province, China (Grant Nos. gxyq2021210 and gxyq2019077), and the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant Nos. KJ2020A0638 and 2022AH051586).

Corresponding Authors: Hong-Yi Fan
E-mail: fhym@ustc.edu.cn

Cite this article:

Ke Zhang(张科), Lan-Lan Li(李兰兰), Da-Wei Guo(郭大伟), and Hong-Yi Fan(范洪义) New light fields based on integration theory within the Weyl ordering product of operators 2023 Chin. Phys. B 32 040301

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