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Chin. Phys. B, 2017, Vol. 26(9): 094205    DOI: 10.1088/1674-1056/26/9/094205
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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
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.
Keywords:  phase estimation      quantum Fisher information      SU(1,1) interferometer  
Received:  10 March 2017      Revised:  09 May 2017      Accepted manuscript online: 
PACS:  42.50.St (Nonclassical interferometry, subwavelength lithography)  
  42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)  
  07.60.Ly (Interferometers)  
  42.65.Yj (Optical parametric oscillators and amplifiers)  
Fund: 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).
Corresponding Authors:  Chun-Hua Yuan     E-mail:  chyuan@phy.ecnu.edu.cn

Cite this article: 

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 2017 Chin. Phys. B 26 094205

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