\begin{document}$ n $\end{document} concatenated 50∶50 beam splitters and independent delay parameters \begin{document}$ {\tau }_{1} $\end{document}, \begin{document}$ {\tau }_{2} $\end{document}, ···, \begin{document}$ {\tau }_{n} $\end{document}. The numbers \begin{document}$ n=1, 2\;\mathrm{a}\mathrm{n}\mathrm{d}\;3 $\end{document} refer to the standard HOM interferometer, the second-cascaded HOM interferometer, and the third-cascaded HOM interferometer, respectively. Through the theoretical study of the cascaded HOM interference effect based on frequency entangled photon pairs, it can be concluded that there is a corresponding relationship between the dip position and the independent delay parameter in the second-order quantum interferogram. In the standard HOM interferometer, there is a dip in the second-order quantum interferogram, which can realize the measurement of delay parameter \begin{document}$ {\tau }_{1} $\end{document}. In the second-cascaded HOM interferometer, there are two symmetrical dips in the second-order quantum interferogram, which can realize the simultaneous measurement of two independent delay parameters \begin{document}$ {\tau }_{1} $\end{document} and \begin{document}$ {\tau }_{2} $\end{document}. By analogy, in the third-cascaded HOM interferometer, there are six symmetrical dips in the second-order quantum interferogram, which can realize the simultaneous measurement of three independent delay parameters \begin{document}$ {\tau }_{1} $\end{document}, \begin{document}$ {\tau }_{2} $\end{document} and \begin{document}$ {\tau }_{3} $\end{document}. Therefore, multiple independent delay parameters can be measured simultaneously based on a cascaded HOM interferometer. In the experiment, the second-cascaded HOM interferometer based on frequency entangled photon source is built. The second-order quantum interferogram of the second-cascaded HOM interferometer is obtained by the coincidence measurement device. Two independent delay parameters \begin{document}$ {\tau }_{1} $\end{document} and \begin{document}$ {\tau }_{2} $\end{document} are measured simultaneously by recording the positions of two symmetrical dips, which are in good agreement with the theoretical results. At an averaging time of 3000 s, the measurement accuracy of two delay parameters \begin{document}$ {\tau }_{1} $\end{document} and \begin{document}$ {\tau }_{2} $\end{document} can reach 109 and 98 fs, respectively. These results lay a foundation for extending the applications of HOM interferometer in multi-parameter quantum systems. "> - 必威体育下载

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    Zhai Yi-Wei, Dong Rui-Fang, Quan Run-Ai, Xiang Xiao, Liu Tao, Zhang Shou-Gang
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    • Abstract views:4995
    • PDF Downloads:138
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    Publishing process
    • Received Date:11 January 2021
    • Accepted Date:02 February 2021
    • Available Online:12 June 2021
    • Published Online:20 June 2021

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