Journal
PHYSICAL REVIEW APPLIED
Volume 18, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevApplied.18.014077
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Funding
- National Natural Science Foundation of China (NSFC) [12034016, 12004318, 61975169]
- Fundamental Research Funds for the Central Universities at Xiamen University [20720190057, 20720210096]
- Natural Science Foundation of Fujian Province of China [2020J05004]
- Natural Science Foundation of Fujian Province of China for Distinguished Young Scientists [2015J06002]
- program for New Century Excellent Talents in University of China [NCET13-0495]
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This paper explores the application of the quantum Wiener-Khinchin theorem in describing the correlation between the joint spectral intensity and temporal signal of biphoton. The experimental demonstration using spectrally resolved detection in frequency-entangled two-photon Hong-Ou-Mandel interference shows the effectiveness of the quantum Wiener-Khinchin theorem. The results suggest that this method can achieve high measurement precision and time capturing ability in spectral-domain quantum optical coherence tomography, providing advantages over conventional HOM interferometric schemes.
The Wiener-Khinchin theorem, the fact that the autocorrelation function of a time process has a spectral decomposition given by its power-spectrum intensity, can be used in many disciplines. However, the applications based on a quantum counterpart of the Wiener-Khinchin theorem that provides a translation between time-energy degrees of freedom of biphoton wave function still remains relatively unexplored. Here, we use a quantum Wiener-Khinchin theorem (QWKT) to state that two-photon joint spectral intensity and the cross-correlation of two-photon temporal signal can be connected by making a Fourier transform. The mathematically defined QWKT is experimentally demonstrated in frequencyentangled two-photon Hong-Ou-Mandel (HOM) interference with the assistance of spectrally resolved detection. We apply this method to spectral-domain quantum optical coherence tomography that detects thickness-induced optical delays in a transparent sample, and show that our method suffices to achieve great advantages in measurement precision within a wide dynamic range and capturing time over the conventional HOM interferometric schemes. These results may significantly facilitate the use of QWKT for quantum information processing and quantum interferometric spectroscopy.
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