Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation

doi:10.1088/1674-1056/ad2f20

Abstract To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within the ordered product of operators is essential to our discussion.

Keywords: Wigner function optical cumulant operator dissipation evolution thermo-entangled state representation integration within ordered product of operators

Received: 24 January 2024
Revised: 22 February 2024
Accepted manuscript online: 01 March 2024

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.-a	(Quantum information)

Fund: Project supported by 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, China (Grant Nos. 2022AH051580 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), and Hong-Yi Fan(范洪义) Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation 2024 Chin. Phys. B 33 060307

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Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation

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