Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer

doi:10.1088/1674-1056/28/6/060704

中国物理B ›› 2019, Vol. 28 ›› Issue (6): 60704-060704.doi: 10.1088/1674-1056/28/6/060704

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

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

收稿日期:2018-12-06 修回日期:2019-01-23 出版日期:2019-06-05 发布日期:2019-06-05
通讯作者: Zhi-Ming Zhang, Ya-Fei Yu E-mail:zhangzhiming@m.scnu.edu.cn;yuyafei@m.scnu.edu.cn
基金资助:
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).

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

Received:2018-12-06 Revised:2019-01-23 Online:2019-06-05 Published:2019-06-05
Contact: Zhi-Ming Zhang, Ya-Fei Yu E-mail:zhangzhiming@m.scnu.edu.cn;yuyafei@m.scnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: SU(1,1) interferometer, Wigner function, phase sensitivity

Abstract:

Key words: SU(1,1) interferometer, Wigner function, phase sensitivity

中图分类号: (Interferometers)

07.60.Ly

42.50.-p (Quantum optics) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)

刘春丽, 郭丽丽, 张智明, 於亚飞. Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer[J]. 中国物理B, 2019, 28(6): 60704-060704.

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[J]. Chin. Phys. B, 2019, 28(6): 60704-060704.

参考文献 33

[1]	Braun D, Adesso G, Benatti F, Floreanini R, Marzolino U, Mitchell M W and Pirandola S 2018 Rev. Mod. Phys. 90 035006 doi: 10.1103/RevModPhys.90.035006
[2]	Chekhova M V, Ou Z Y 2016 Adv. Opt. Photon. 8 104 doi: 10.1364/AOP.8.000104
[3]	Yurke B, McCall S L and Klauder J R 1986 Phys. Rev. A 33 4033 doi: 10.1103/PhysRevA.33.4033
[4]	Plick W N, Dowling J P and Agarwal G S 2010 New J. Phys. 12 083014 doi: 10.1088/1367-2630/12/8/083014
[5]	Marino A M, Trejo N V C, Lett P D 2012 Phys. Rev. A 86 023844 doi: 10.1103/PhysRevA.86.023844
[6]	Li D, Yuan C H, Ou Z Y and Zhang W 2014 New J. Phys. 16 073020 doi: 10.1088/1367-2630/16/7/073020
[7]	Corzo N V, Marino A M, Jones K M and Lett P D 2012 Phys. Rev. Lett. 109 043602 doi: 10.1103/PhysRevLett.109.043602
[8]	Hu L Y, Wei C P, Huang J H and Liu C J 2014 Opt. Commun. 323 68 doi: 10.1016/j.optcom.2014.02.069
[9]	Gong Q K, Li D, Yuan C H, Qu Z Y and Zhang W P 2017 Chin. Phys. B 26 094205 doi: 10.1088/1674-1056/26/9/094205
[10]	Gupta P, Schmittberger B L, Anderson B E, Jones K M and Lett P D 2018 Opt. Express 26 391 doi: 10.1364/OE.26.000391
[11]	Wei C P, Hu X Y, Yu Y F and Zhang Z M 2016 Chin. Phys. B 25 040601 doi: 10.1088/1674-1056/25/4/040601
[12]	Ono T and Hofmann H F 2010 Phys. Rev. A 81 033819 doi: 10.1103/PhysRevA.81.033819
[13]	Ou Z Y 2012 Phys. Rev. A 85 023815 doi: 10.1103/PhysRevA.85.023815
[14]	Liu Y, Li J, Cui L, Huo N, Assad S M, Li X and Ou Z Y 2018 Opt. Express 26 27705 doi: 10.1364/OE.26.027705
[15]	Ma X, You C, Adhikari S, Matekole E S, Glasser R T, Lee H, and Dowling J P 2018 Opt. Express 26 18492 doi: 10.1364/OE.26.018492
[16]	Li D, Gard B T, Gao Y, Yuan C H, Zhang W, Lee H and Dowling J P 2016 Phys. Rev. A 94 063840 doi: 10.1103/PhysRevA.94.063840
[17]	Seshadreesan K P, Anisimov P M, Lee H and Dowling J P 2011 New J. Phys. 13 083026 doi: 10.1088/1367-2630/13/8/083026
[18]	Adhikari S, Bhusal N, You C, Lee H and Dowling J P 2018 OSA Continuum 1 438 doi: 10.1364/OSAC.1.000438
[19]	Jing J, Liu C, Zhou Z, Ou Z Y and Zhang W 2011 Appl. Phys. Lett. 99 011110 doi: 10.1063/1.3606549
[20]	Hudelist F, Kong J, Liu C, Jing J, Ou Z Y and Zhang W 2014 Nat. Commun. 5 3049 doi: 10.1038/ncomms4049
[21]	Anderson B E, Gupta P, Schmittberger B L, Horrom T, Hermann-Avigliano C, Jones K M and Lett P D 2017 Optica 4 752 doi: 10.1364/OPTICA.4.000752
[22]	Li T, Anderson B E, Horrom T, Schmittberger B L, Jones K M and Lett P D 2017 Opt. Express 25 21301 doi: 10.1364/OE.25.021301
[23]	Du W, Jia J, Chen J F, Ou Z Y and Zhang W 2018 Opt. Lett. 43 1051 doi: 10.1364/OL.43.001051
[24]	Wang S, Wang Y, Zhai L and Zhang L 2018 J. Opt. Soc. Am. B 35 1046 doi: 10.1364/JOSAB.35.001046
[25]	Anderson B E, Schmittberger B L, Gupta P, Jones K M and Lett P D 2017 Phys. Rev. A 95 063843 doi: 10.1103/PhysRevA.95.063843
[26]	Tanaka T 2017 Opt. Lett. 42 1576 doi: 10.1364/OL.42.001576
[27]	Li D, Yuan C H, Yao Y, Jiang W, Li M and Zhang W 2018 J. Opt. Soc. Am. B 35 1080 doi: 10.1364/JOSAB.35.001080
[28]	Li H M, Xu X X, Yuan H C and Wang Z 2016 Chin. Phys. B 25 104203 doi: 10.1088/1674-1056/25/10/104203
[29]	Walschaers M, Fabre C, Parigi V and Treps N 2017 Phys. Rev. Lett. 119 183601 doi: 10.1103/PhysRevLett.119.183601
[30]	Kenfack A, Zyczkowski K 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396 doi: 10.1088/1464-4266/6/10/003
[31]	Honarasa G 2017 Chin. Phys. B 26 114202 doi: 10.1088/1674-1056/26/11/114202
[32]	Banerji A, Singh R P, Bandyopadhyay A 2014 Opt. Commun. 330 85 doi: 10.1016/j.optcom.2014.05.035
[33]	Walls D F, Milburn G J 2007 Springer Science and Business Media

Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer

Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer

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