Experimental reconstruction of photon statistics without photon counting.

Area of Science:

• Quantum Optics
• Quantum Information Science

Background:

• Accurate characterization of light states is crucial for quantum optics and information science.
• Traditional photon counting methods can be inefficient or technically challenging for certain light sources.

Purpose of the Study:

• To experimentally demonstrate a novel method for reconstructing photon number distributions.
• To validate the technique for both continuous-wave and pulsed light, across single-mode and multi-mode beams.
• To reconstruct distributions for both semiclassical and quantum light states.

Main Methods:

• Utilized on/off avalanche photodetection, a technique sensitive to photon presence without direct counting.
• Employed maximum-likelihood estimation to infer the photon number distribution from detection events.
• Applied the scheme to reconstruct distributions for various light sources and configurations.

Main Results:

• Successfully reconstructed photon number distributions for both continuous-wave and pulsed light.
• Demonstrated the method's applicability to single-mode and multi-mode light beams.
• Achieved accurate reconstructions for both semiclassical and quantum states of light.

Conclusions:

• The developed scheme provides an effective alternative to traditional photon counting for characterizing light.
• The technique is versatile, applicable to a wide range of optical states and experimental setups.
• This advancement facilitates more precise control and understanding in quantum optical experiments.