Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states

doi:10.1088/1674-1056/26/9/094205

中国物理B ›› 2017, Vol. 26 ›› Issue (9): 94205-094205.doi: 10.1088/1674-1056/26/9/094205

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states

Qian-Kun Gong(龚乾坤), Dong Li(李栋), Chun-Hua Yuan(袁春华), Ze-Yu Qu(区泽宇), Wei-Ping Zhang(张卫平)

1 Quantum Institute for Light and Atoms, School of Physics and Material Science, East China Normal University, Shanghai 200062, China;
2 Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;
3 Department of Physics, Indiana University–Purdue University Indianapolis, Indianapolis 46202, USA;
4 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

收稿日期:2017-03-10 修回日期:2017-05-09 出版日期:2017-09-05 发布日期:2017-09-05
通讯作者: Chun-Hua Yuan E-mail:chyuan@phy.ecnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474095, 11654005, and 11234003) and the National Key Research and Development Program of China (Grant No. 2016YFA0302000).

Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states

Qian-Kun Gong(龚乾坤)¹, Dong Li(李栋)¹, Chun-Hua Yuan(袁春华)^1,4, Ze-Yu Qu(区泽宇)^1,3, Wei-Ping Zhang(张卫平)^2,4

1 Quantum Institute for Light and Atoms, School of Physics and Material Science, East China Normal University, Shanghai 200062, China;
2 Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;
3 Department of Physics, Indiana University–Purdue University Indianapolis, Indianapolis 46202, USA;
4 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

Received:2017-03-10 Revised:2017-05-09 Online:2017-09-05 Published:2017-09-05
Contact: Chun-Hua Yuan E-mail:chyuan@phy.ecnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474095, 11654005, and 11234003) and the National Key Research and Development Program of China (Grant No. 2016YFA0302000).

摘要/Abstract

摘要： We theoretically study the quantum Fisher information (QFI) of the SU(1,1) interferometer with phase shifts in two arms by coherent ⊗ squeezed vacuum state input, and give the comparison with the result of phase shift only in one arm. Different from the traditional Mach-Zehnder interferometer, the QFI of single-arm case for an SU(1,1) interferometer can be slightly higher or lower than that of two-arm case, which depends on the intensities of the two arms of the interferometer. For coherent ⊗ squeezed vacuum state input with a fixed mean photon number, the optimal sensitivity is achieved with a squeezed vacuum input in one mode and the vacuum input in the other.

关键词: phase estimation, quantum Fisher information, SU(1, 1) interferometer

Abstract: We theoretically study the quantum Fisher information (QFI) of the SU(1,1) interferometer with phase shifts in two arms by coherent ⊗ squeezed vacuum state input, and give the comparison with the result of phase shift only in one arm. Different from the traditional Mach-Zehnder interferometer, the QFI of single-arm case for an SU(1,1) interferometer can be slightly higher or lower than that of two-arm case, which depends on the intensities of the two arms of the interferometer. For coherent ⊗ squeezed vacuum state input with a fixed mean photon number, the optimal sensitivity is achieved with a squeezed vacuum input in one mode and the vacuum input in the other.

Key words: phase estimation, quantum Fisher information, SU(1,1) interferometer

中图分类号: (Nonclassical interferometry, subwavelength lithography)

42.50.St

42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps) 07.60.Ly (Interferometers) 42.65.Yj (Optical parametric oscillators and amplifiers)

龚乾坤, 李栋, 袁春华, 区泽宇, 张卫平. Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states[J]. 中国物理B, 2017, 26(9): 94205-094205.

Qian-Kun Gong(龚乾坤), Dong Li(李栋), Chun-Hua Yuan(袁春华), Ze-Yu Qu(区泽宇), Wei-Ping Zhang(张卫平). Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states[J]. Chin. Phys. B, 2017, 26(9): 94205-094205.

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Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states

Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states

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