中国物理B ›› 2020, Vol. 29 ›› Issue (3): 30306-030306.doi: 10.1088/1674-1056/ab6dc9

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Optical complex integration-transform for deriving complex fractional squeezing operator

Ke Zhang(张科), Cheng-Yu Fan(范承玉), Hong-Yi Fan(范洪义)   

  1. 1 Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China;
    2 University of Science and Technology of China, Hefei 230031, China;
    3 Huainan Normal University, Huainan 232038, China
  • 收稿日期:2019-11-12 修回日期:2020-01-17 出版日期:2020-03-05 发布日期:2020-03-05
  • 通讯作者: Cheng-Yu Fan E-mail:cyfan@aiofm.ac.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11775208) and Key Projects of Huainan Normal University, China (Grant No. 2019XJZD04).

Optical complex integration-transform for deriving complex fractional squeezing operator

Ke Zhang(张科)1,2,3, Cheng-Yu Fan(范承玉)1, Hong-Yi Fan(范洪义)2   

  1. 1 Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China;
    2 University of Science and Technology of China, Hefei 230031, China;
    3 Huainan Normal University, Huainan 232038, China
  • Received:2019-11-12 Revised:2020-01-17 Online:2020-03-05 Published:2020-03-05
  • Contact: Cheng-Yu Fan E-mail:cyfan@aiofm.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11775208) and Key Projects of Huainan Normal University, China (Grant No. 2019XJZD04).

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摘要： We find a new complex integration-transform which can establish a new relationship between a two-mode operator's matrix element in the entangled state representation and its Wigner function. This integration keeps modulus invariant and therefore invertible. Based on this and the Weyl-Wigner correspondence theory, we find a two-mode operator which is responsible for complex fractional squeezing transformation. The entangled state representation and the Weyl ordering form of the two-mode Wigner operator are fully used in our derivation which brings convenience.

关键词: integration-transform, two-mode, entangled state, Weyl-Wigner correspondence theory

Abstract: We find a new complex integration-transform which can establish a new relationship between a two-mode operator's matrix element in the entangled state representation and its Wigner function. This integration keeps modulus invariant and therefore invertible. Based on this and the Weyl-Wigner correspondence theory, we find a two-mode operator which is responsible for complex fractional squeezing transformation. The entangled state representation and the Weyl ordering form of the two-mode Wigner operator are fully used in our derivation which brings convenience.

Key words: integration-transform, two-mode, entangled state, Weyl-Wigner correspondence theory

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics) 63.20.-e (Phonons in crystal lattices)