Fringe visibility and distinguishability in two-path interferometer with an asymmetric beam splitter
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 paramter /beta. 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 cos(/beta) = -Sx. The fringe visibility obtain the maximum only if Sx = 0 and /beta = /pi/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.
Cite
@article{arxiv.1812.04348,
title = {Fringe visibility and distinguishability in two-path interferometer with an asymmetric beam splitter},
author = {Yanjun Liu and Jing Lu and Zhihui Peng and Lan Zhou and Dongning Zheng},
journal= {arXiv preprint arXiv:1812.04348},
year = {2019}
}
Comments
5 pages, 3 figures