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Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer |
| Chun-Li Liu(刘春丽), Li-Li Guo(郭丽丽), Zhi-Ming Zhang(张智明), Ya-Fei Yu(於亚飞) |
| Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, School of Information and Optoelectronic Science and Engineering, Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou 510006, China |
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Abstract Both the negativity of Wigner function and the phase sensitivity of an SU(1,1) interferometer are investigated in this paper. In the case that the even coherent state and squeezed vacuum state are input into the interferometer, the Heisenberg limit can be approached with parity detection. At the same time, the negativity volume of Wigner function of detection mode comes entirely from the input state and varies periodically with the encoding phase. In addition, the negativity volume of Wigner function is positively correlated with the phase sensitivity of the SU(1,1) interferometer. The positive correlation may mean that the non-classicality indicated by negative Wigner function is a kind of resource that can verify some related research results of phase estimation.
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Received: 06 December 2018
Revised: 23 January 2019
Accepted manuscript online:
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PACS:
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07.60.Ly
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(Interferometers)
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42.50.-p
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(Quantum optics)
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42.50.Lc
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(Quantum fluctuations, quantum noise, and quantum jumps)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11574092, 61775062, 61378012, 91121023, and 60978009), the National Basic Research Program of China (Grant No. 2013CB921804), and the Innovation Project of Graduate School of South China Normal University (Grant No. 2017LKXM088). |
Corresponding Authors:
Zhi-Ming Zhang, Ya-Fei Yu
E-mail: zhangzhiming@m.scnu.edu.cn;yuyafei@m.scnu.edu.cn
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Cite this article:
Chun-Li Liu(刘春丽), Li-Li Guo(郭丽丽), Zhi-Ming Zhang(张智明), Ya-Fei Yu(於亚飞) Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer 2019 Chin. Phys. B 28 060704
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