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arXiv:2011.14550 · Physical Review A

Two-photon superbunching effect of broadband chaotic light at the femtosecond timescale based on a cascaded Michelson interferometer

Sheng Luo, Yu Zhou, Huaibin Zheng, Jianbin Liu, Hui Chen, Yuchen He, Wanting Xu, Shuanghao Zhang, Fuli Li, Zhuo Xu

Published Jan 21, 2021• 8 citations
arXivHTMLPDF

Abstract

It is challenging to observe the superbunching effect with true chaotic light. Here we propose and demonstrate a method to achieve the superbunching effect of ${g}^{(2)}(0)=2.42\ifmmode\pm\else\textpm\fi{}0.02$ with broadband stationary chaotic light based on a cascaded Michelson interferometer (CMI), exceeding the theoretical upper limit of 2 for the two-photon bunching effect of chaotic light. The superbunching correlation peak is measured with an ultrafast two-photon absorption detector whose full width at half-maximum reaches about 95 fs. Two-photon superbunching theory in a CMI is developed to interpret the effect and is in agreement with experimental results. The theory also predicts that the degree of second-order coherence can be much greater than 2 if chaotic light propagates $N$ times in a CMI. Finally, a type of weak signal detection setup that employs broadband chaotic light circulating in a CMI is proposed. Theoretically, it can increase the detection sensitivity of weak signals 79 times after the chaotic light circulates 100 times in the CMI.

DOI
10.1103/physreva.103.013723

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It is challenging to observe the superbunching effect with true chaotic light. Here we propose and demonstrate a method to achieve the superbunching effect of g(2)(0)=2.42\ifmmode±\else\textpm\fi0.02{g}^{(2)}(0)=2.42\ifmmode\pm\else\textpm\fi{}0.02g(2)(0)=2.42\ifmmode±\else\textpm\fi0.02 with broadband stationary chaotic light based on a cascaded Michelson interferometer (CMI), exceeding the theoretical upper limit of 2 for the two-photon bunching effect of chaotic light. The superbunching correlation peak is measured with an ultrafast two-photon absorption detector whose full width at half-maximum reaches about 95 fs. Two-photon superbunching theory in a CMI is developed to interpret the effect and is in agreement with experimental results. The theory also predicts that the degree of second-order coherence can be much greater than 2 if chaotic light propagates NNN times in a CMI. Finally, a type of weak signal detection setup that employs broadband chaotic light circulating in a CMI is proposed. Theoretically, it can increase the detection sensitivity of weak signals 79 times after the chaotic light circulates 100 times in the CMI.
In this paper, we study two-photon interference of broadband chaotic light in a Michelson interferometer with two-photon-absorption detector. The theoretical analysis is based on two-photon interference and Feynman path integral theory. The two-photon coherence matrix is introduced to calculate the second-order interference pattern with polarizations being taken into account. Our study shows that the polarization is another dimension, as well as time and space, to tune the interference pattern in the two-photon interference process. It can act as a switch to manipulate the interference process and open the gate to many new experimental schemes.
Two-photon interference of broadband chaotic light in a Michelson interferometer is theoretically and numerically studied with a two-photon-absorption detector when polarizations are taken into account. Under the frame of quantum optics, the theoretical analysis is based on two-photon interference and Feynman path integral theory. A two-photon coherence matrix is introduced to calculate the second-order interference pattern. Our research shows that polarization is another dimension, as well as time and space, to tune the second-order interference pattern in the two-photon interference process. Polarizations can act as switches to manipulate the interference process and may open the door to some new experimental schemes. The quantum optical vector model is also helpful to understand the physics of second-order interference when the light source is quantum.
We report on the two-photon superbunching effect of thermal light via constructive multiple two-photon path interference, showing the possibility of controlling the bunching property of thermal light in a linear optical system. By inserting nnn pairs of mutually first-order incoherent optical channels as a cascade into the traditional Hanbury Brown and Twiss (HBT) interferometer, the two-photon bunching peak-to-background ratio of thermal light can be increased by up to $2\ifmmode\times\else\texttimes\fi{}1.{5}^{n}$, surpassing the theoretical upper limit of 2 for a traditional HBT interferometer. Experimentally, the ratio was measured to be $2.4\ifmmode\pm\else\textpm\fi{}0.1$ when one pair of optical channels was inserted. Such a scheme can be viewed as a prototype of a two-photon grating.
The polarization modulation is employed to recover the hidden photon bunching effect of broadband chaotic light at ultrashort timescale based on two-photon absorption detector. Not only the hidden second-order coherence function in the two-photon absorption counting can be obtained, but also the disappeared two-photon interference pattern based on two-photon absorption detection can be recovered. In theory, polarization matrix and two-photon interference probability amplitudes matrix are combined to develop polarized two-photon interference terms, which is in good agreement with the experimental results. The proposed method may help to develop future optical interferometry, optical polarimetry.
Superposition of multiple indistinguishable two-photon paths is introduced by means of a digital wave front encoding technique to design a spatially phase-correlated wave front of a light field, which could result in a superbunching effect with a bunching peak much larger than 2, the theoretical bunching peak of thermal light. Experimentally, we demonstrated a bunching peak of $11.72\ifmmode\pm\else\textpm\fi{}0.05$ with the digitally designed phase-correlated wave front of classical light, which can be improved further on. A significant improvement of the visibility of the second-order interference fringes and ghost imaging was also experimentally demonstrated. Our method provides a convenient digitally controllable way to implement superposition of multiple different but indistinguishable two-photon paths, and therefore to modify the optical coherence properties of photons. Such a superbunching effect may have potential applications in improving the visibility of correlation interference and imaging, and enhancing the efficiency of two-photon nonlinear effects such as two-photon absorption effect.
Two-photon superbunching of classical light is observed with single-mode continuous-wave laser light in a linear optical system. By adding more two-photon paths via rotating ground glasses, pinholes, lens, etc., g(2)(0)=7.10±0.07 is experimentally observed. The second-order temporal coherence function of the superbunching pseudothermal light is theoretically and experimentally studied in detail. It is predicted that the degree of coherence can be increased dramatically by adding more multi-photon paths. For instance, the degree of the second- and third-order coherence of the superbunching pseudothermal light with five rotating ground glasses can reach 32 and 7776, respectively. The results are helpful to understanding the physics of superbunching and improving the visibility of thermal light ghost imaging.