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

doi:10.1088/1674-1056/ad2f20

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60307-060307.doi: 10.1088/1674-1056/ad2f20

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

Ke Zhang(张科)¹, Lan-Lan Li(李兰兰)¹, and Hong-Yi Fan(范洪义)^2,†

1 School of Electronic Engineering, Huainan Normal University, Huainan 232038, China;
2 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

收稿日期:2024-01-24 修回日期:2024-02-22 接受日期:2024-03-01 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Hong-Yi Fan E-mail:fhym@ustc.edu.cn
基金资助:
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).

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

Ke Zhang(张科)¹, Lan-Lan Li(李兰兰)¹, and Hong-Yi Fan(范洪义)^2,†

1 School of Electronic Engineering, Huainan Normal University, Huainan 232038, China;
2 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Received:2024-01-24 Revised:2024-02-22 Accepted:2024-03-01 Online:2024-06-18 Published:2024-06-18
Contact: Hong-Yi Fan E-mail:fhym@ustc.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)

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[J]. 中国物理B, 2024, 33(6): 60307-060307.

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[J]. Chin. Phys. B, 2024, 33(6): 60307-060307.

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

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

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