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Acta Sinica Quantum Optica

Generalized Photon Bunching Effect as a Result of Multi-Photon Constructive Interference

Ping‐Xing Chen

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

The discovery of photon bunching effect is an important milestone of quantum optics.The attempt to explain it leads to the development of the techniques in quantum optics.Nowadays,it′s thought that the physics behind the photon bunching effect in the second-order coherence is two-photon interference.This paper shows that there are similar generalized bunching effects in higher-order coherence.We also claim that the generalized photon bunching effect is a result of multi-photon interference due to indistinguishability of photons.In some typical optical circuit,N-photon interference can let the enhancement factor be up to N!.

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The discovery of photon bunching effect is an important milestone of quantum optics.The attempt to explain it leads to the development of the techniques in quantum optics.Nowadays,it′s thought that the physics behind the photon bunching effect in the second-order coherence is two-photon interference.This paper shows that there are similar generalized bunching effects in higher-order coherence.We also claim that the generalized photon bunching effect is a result of multi-photon interference due to indistinguishability of photons.In some typical optical circuit,N-photon interference can let the enhancement factor be up to N!.
When photons are indistinguishably in the same temporal mode, their detection probability is greatly enhanced due to constructive multiphoton interference, as compared to the case when they are distinguishable. We observed for what is believed to be the first time such a photon bunching effect for six photons. The observed enhancement factor in six-photon coincidence measurement is 17+/-2, which is close to a factor of 20 for an ideal case. Our result confirms that the six photons that we obtain have a high degree of indistinguishability.
A number of recent interference experiments involving multiple photons are reviewed. These experiments include generalized photon bunching effects, generalized Hong-Ou-Mandel interference effects and multi-photon interferometry for demonstrations of multi-photon de Broglie wavelength. The multi-photon states used in these experiments are from two pairs of photons in parametric down-conversion. We find that the size of the interference effect in these experiments, characterized by the visibility of the interference pattern, is governed by the degree of distinguishability among different pairs of photons. Based on this discovery, we generalize the concept of multi-photon temporal distinguishability and relate it to a number of multi-photon interference effects. Finally, we make an attempt to interpret the coherence theory by multi-photon interference via the concept of temporal distinguishability of photons.
Photon bunching effect and stimulated emission of single photons is investigated and observed in the parametric amplification process. It is found that the two-photon interference is responsible for the photon bunching effect and stimulated emission, which is discussed in the temporal degree of freedom and in the presence of photon losses. Moreover, the direct measurement of the indistinguishability of two signal photons without any filtering is accomplished via the correlation between the two idler photons from two cascaded parametric down-conversion processes. This result shows that photon indistinguishability plays an essential role in stimulated emission.
The bunching of two single photons on a beam-splitter is a fundamental quantum effect, first observed by Hong, Ou and Mandel. It is a unique interference effect that relies only on the photons' indistinguishability and not on their relative phase. We generalize this effect by demonstrating the bunching of two Bell states, created in two passes of a nonlinear crystal, each composed of two photons. When the two Bell states are indistinguishable, phase insensitive destructive interference prevents the outcome of four-fold coincidence between the four spatial-polarization modes. For certain combinations of the two Bell states, we demonstrate the opposite effect of anti-bunching. We relate this result to the number of distinguishable modes in parametric down-conversion.
Two-photon interference (TPI) is a fundamental phenomenon in quantum optics and plays a crucial role in optical quantum technologies. TPI is commonly considered as quantum interference with an upper bound of 100% for both the TPI and the beat visibility in contrast to its classical counterpart with a maximum visibility of 50%. However, this is not always the case. Here, we report a simultaneous observation of quantum and classical TPI of single photons with ultralong coherence time, which is five orders of magnitude longer than the photon correlation time. We observe a TPI visibility of 94.3% ± 0.2% well above the 50% classical limit indicating the quantum feature, and a beat visibility of 50% reflecting the classical feature. In addition an anti-bunching central dip due to single-photon anti-correlation, we also observe two bunching side peaks in cross correlation curves for indistinguishable photons. Using the general wave superposition theory and the quantum field approach, we derive the same cross correlation functions, which fully reproduce and explain the experiments. Our results reveal that the quantum and classical features of TPI result from the same interference, as the fourth-order temporal interference arises from the second-order temporal interference between two photons on the timescale of the photon coherence time.
Two-photon bunching and superbunching are important to understanding the physics of ghost imaging and second-order interference of light. With the help of the recently proposed superbunching pseudothermal light, the physics of bunching and superbunching in superbunching pseudothermal light is studied in detail. A special two-photon coincidence count detection system is designed to measure the required two-photon coincidence counts. It is concluded that the two-photon superbunching effect cannot be observed without taking the intensity changing process into account. A similar conclusion holds for two-photon bunching of thermal light. The conclusions are helpful for understanding of the physics of two-photon bunching and superbunching in intensity or photon number fluctuation correlation theory.