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Chin. Phys. B, 2019, Vol. 28(3): 030303    DOI: 10.1088/1674-1056/28/3/030303
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Fringe visibility and distinguishability in two-path interferometer with an asymmetric beam splitter

Yanjun Liu(刘彦军)1,2, Jing Lu(卢竞)1, Zhihui Peng(彭智慧)1, Lan Zhou(周兰)1, Dongning Zheng(郑东宁)2,3,4
1 Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center of Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China;
2 Beijing National Laboratory for Condnesed Matter Physics and Institute of Physics, Beijing 100190, China;
3 CAS Center for Excellence in Topological Quantum Computation and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
4 Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
Abstract  We study the fringe visibility and the distinguishability of a general Mach-Zehnder interferometer with an asymmetric beam splitter. Both the fringe visibility V and the distinguishability D are affected by the input state of the particle characterized by the Bloch vector S=(Sx,Sy,Sz) and the second asymmetric beam splitter characterized by the paramter β. For the total system is initially in a pure state, it is found that the fringe visibility reaches the upper bound and the distinguishability reaches the lower bound when cosβ=-Sx. The fringe visibility obtain the maximum only if Sx=0 and β=π/2 when the input particle is initially in a mixed state. The complementary relationship V2+D2 ≤ 1 is proved in a general Mach-Zehnder interferometer with an asymmetric beam splitter, and the conditions for the equality are also presented.
Keywords:  complementarity      fringe visibility      distinguishability      general Mach-Zehnder interferometer  
Received:  24 October 2018      Revised:  20 December 2018      Accepted manuscript online: 
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 Nos. 11434011, 11575058, and 61833010), the “Science and Technology Innovation Platform and Talent Plan” Excellent Talent Award of Hunan Province, China (Grant No. 2017XK2021), the Science Funds from the Ministry of Science and Technology of China (Grant Nos. 2017YFA0304300 and 2016YFA0300601), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB28000000).
Corresponding Authors:  Jing Lu     E-mail:  lujing@hunnu.edu.cn

Cite this article: 

Yanjun Liu(刘彦军), Jing Lu(卢竞), Zhihui Peng(彭智慧), Lan Zhou(周兰), Dongning Zheng(郑东宁) Fringe visibility and distinguishability in two-path interferometer with an asymmetric beam splitter 2019 Chin. Phys. B 28 030303

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