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Chin. Phys. B, 2022, Vol. 31(11): 110305    DOI: 10.1088/1674-1056/ac8c3b
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Fringe visibility and correlation in Mach-Zehnder interferometer with an asymmetric beam splitter

Yan-Jun Liu(刘彦军)1, Mei-Ya Wang(王美亚)1, Zhong-Cheng Xiang(相忠诚)2, and Hai-Bin Wu(吴海滨)1,†
1 College of Physics, Mechanical and Electronical College, Shijiazhuang University, Shijiazhuang 050035, China;
2 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
Abstract  We study the wave-particle duality in a general Mach-Zehnder interferometer with an asymmetric beam splitter from the viewpoint of quantum information theory. The correlations (including the classical correlation and the quantum correlation) between the particle and the which-path detector are derived when they are in pure state or mixed state at the output of Mach-Zehnder interferometer. It is found that the fringe visibility and the correlations are effected by the asymmetric beam splitter and the input state of the particle. The complementary relations between the fringe visibility and the correlations are also presented.
Keywords:  wave-particle duality      fringe visibility      correlation      general Mach-Zehnder interferometer  
Received:  29 May 2022      Revised:  31 July 2022      Accepted manuscript online:  24 August 2022
PACS:  03.67.-a (Quantum information)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  07.60.Ly (Interferometers)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11975095), the Natural Science Foundation of Hebei Province, China (Grant No. A2022106001) and Shijiazhuang University Doctoral Scientific Research Startup Fund Project (Grant No. 20BS023).
Corresponding Authors:  Hai-Bin Wu     E-mail:

Cite this article: 

Yan-Jun Liu(刘彦军), Mei-Ya Wang(王美亚), Zhong-Cheng Xiang(相忠诚), and Hai-Bin Wu(吴海滨) Fringe visibility and correlation in Mach-Zehnder interferometer with an asymmetric beam splitter 2022 Chin. Phys. B 31 110305

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