中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/ac7e34

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

Ke Zhang(张科)1, Lan-Lan Li(李兰兰)1, Da-Wei Guo(郭大伟)1, and Hong-Yi Fan(范洪义)2,†   

  1. 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:2022-04-26 修回日期:2022-06-27 接受日期:2022-07-05 出版日期:2023-03-10 发布日期:2023-04-04
  • 通讯作者: Hong-Yi Fan E-mail:fhym@ustc.edu.cn
  • 基金资助:
    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).

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

Ke Zhang(张科)1, Lan-Lan Li(李兰兰)1, Da-Wei Guo(郭大伟)1, and Hong-Yi Fan(范洪义)2,†   

  1. 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:2022-04-26 Revised:2022-06-27 Accepted:2022-07-05 Online:2023-03-10 Published:2023-04-04
  • Contact: Hong-Yi Fan E-mail:fhym@ustc.edu.cn
  • Supported by:
    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).

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摘要： 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.

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

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.

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

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics)