期刊
OPTICA
卷 5, 期 2, 页码 93-98出版社
OPTICAL SOC AMER
DOI: 10.1364/OPTICA.5.000093
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资金
- Research Foundation for Opto-Science and Technology, Hamamatsu, Japan
- Educational Department of Hubei Province, China [D20161504]
- National Natural Science Foundation of China (NSFC) [11704290]
- Matsuo Foundation, Tokyo, Japan
The classical Wiener-Khinchin theorem (WKT), which can extract spectral information by classical interferometers through Fourier transform, is a fundamental theorem used in many disciplines. However, there is still a need for a quantum version of WKT, which could connect correlated biphoton spectral information by quantum interferometers. Here, we extend the classical WKT to its quantum counterpart [i.e., extended WKT (e-WKT)], which is based on two-photon quantum interferometry. According to the e-WKT, the difference-frequency distribution of the biphoton wavefunctions can be extracted by applying a Fourier transform on the time-domain Hong-Ou-Mandel interference (HOMI) patterns, while the sum-frequency distribution can be extracted by applying a Fourier transform on the time-domain NOON state interference (NOONI) patterns. We also experimentally verified the WKT and e-WKT in a Mach-Zehnder interference (MZI), a HOMI, and a NOONI. This theorem can be directly applied to quantum spectroscopy, where the spectral correlation information of biphotons can be obtained from timedomain quantum interferences by Fourier transform. This may open a new path for the study of light-matter interaction at the single photon level. (c) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
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