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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 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 |
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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.
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Received: 12 November 2019
Revised: 17 January 2020
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.-p
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(Quantum optics)
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63.20.-e
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(Phonons in crystal lattices)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775208) and Key Projects of Huainan Normal University, China (Grant No. 2019XJZD04). |
Corresponding Authors:
Cheng-Yu Fan
E-mail: cyfan@aiofm.ac.cn
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Cite this article:
Ke Zhang(张科), Cheng-Yu Fan(范承玉), Hong-Yi Fan(范洪义) Optical complex integration-transform for deriving complex fractional squeezing operator 2020 Chin. Phys. B 29 030306
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