Related papers: Experimental Demonstration of Commutation Relations Using Intensity Correlations

Experimental Demonstration of Commutation Relations Using Intensity Correlations

URL: http://arxiv.org/abs/2601.18870v1
Date: Mon, 26 Jan 2026 19:00:01 GMT
Title: Experimental Demonstration of Commutation Relations Using Intensity Correlations
Authors: Hans Dang, Sebastian Luff, Martin Fischer, Markus Sondermann, Mojdeh. S. Najafabadi, Luis L. Sanchez-Soto, Gerd Leuchs,
Abstract summary: The canonical commutation relation is a cornerstone of quantum theory and underlies the Heisenberg uncertainty principle.<n>We report an experimental demonstration of the bosonic commutation relation for optical field operators based on measurements of two distinct intensity correlation functions.
Score: 0.09772267314090433
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The canonical commutation relation is a cornerstone of quantum theory and underlies the Heisenberg uncertainty principle. Although uncertainty relations have been extensively tested, direct verifications of the underlying commutation relation itself have remained elusive. We report an experimental demonstration of the bosonic commutation relation for optical field operators based on measurements of two distinct intensity correlation functions. From these measurements, we extract the expectation value of the field-operator commutator for both a single-photon state and coherent state. In both cases, the measured values are consistent with unity, in quantitative agreement with quantum theory.

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