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Chinese Physics B

Second-order correlated interference with multi-wavelength thermal-light beams

Desheng Wang, Yining Zhao, Lingxin Kong, Su-Heng Zhang, Chong Wang, Cheng Ren, Yuehua Su, De-Zhong Cao

Published Nov 6, 2025• 0 citations
Publisher

Abstract

Abstract A method for correlating thermal light over a wide spectral range is proposed. A multi-wavelength pseudothermal source, prepared by projecting laser beams of multiple wavelengths (650 nm, 635 nm, 532 nm, and 473 nm) onto a moving thin ground glass plate, is employed in a double-slit interference experiment. The ground glass plate induces random phase differences between light beams of different wavelengths passing through it. This initial random phase difference significantly influences the high-order intensity correlation functions of multi-wavelength thermal beams. Experimentally, second-order correlated interference patterns, including subwavelength interference, of pseudothermal beams with different wavelengths are observed in the intensity correlation measurements. This method facilitates applications of correlated thermal photons in quantum information processing and quantum imaging.

DOI
10.1088/1674-1056/ae1c31

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Abstract A method for correlating thermal light over a wide spectral range is proposed. A multi-wavelength pseudothermal source, prepared by projecting laser beams of multiple wavelengths (650 nm, 635 nm, 532 nm, and 473 nm) onto a moving thin ground glass plate, is employed in a double-slit interference experiment. The ground glass plate induces random phase differences between light beams of different wavelengths passing through it. This initial random phase difference significantly influences the high-order intensity correlation functions of multi-wavelength thermal beams. Experimentally, second-order correlated interference patterns, including subwavelength interference, of pseudothermal beams with different wavelengths are observed in the intensity correlation measurements. This method facilitates applications of correlated thermal photons in quantum information processing and quantum imaging.
A third-order double-slit interference experiment with a pseudothermal light source in the high-intensity limit has been performed by actually recording the intensities in three optical paths. It is shown that not only can the visibility be dramatically enhanced compared to the second-order case as previously theoretically predicted and shown experimentally, but also that the higher visibility is a consequence of the contribution of third-order correlation interaction terms, which is equal to the sum of all contributions from second-order correlation. It is interesting that, when the two reference detectors are scanned in opposite directions, negative values for the third-order correlation term of the intensity fluctuations may appear. The phenomenon can be completely explained by the theory of classical statistical optics and is the first concrete demonstration of the influence of the third-order correlation terms.
The first- and second-order temporal interference between two independent thermal and laser light beams is discussed by employing the superposition principle in Feynman's path integral theory. It is concluded that the first-order temporal interference pattern can not be observed by superposing two independent thermal and laser light beams, while the second-order temporal interference pattern can be observed in the same condition. These predictions are experimentally verified by employing pseudothermal light to simulate thermal light. The relationship between the indistinguishability of alternatives and photons is analyzed. The conclusions are helpful to understand the interference of different kinds of light and the difference between the coherence properties of thermal and laser light.