Experimental Demonstration of Commutation Relations Using Intensity Correlations
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Quantum Physics arXiv:2601.18870 (quant-ph) [Submitted on 26 Jan 2026] 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 View a PDF of the paper titled Experimental Demonstration of Commutation Relations Using Intensity Correlations, by Hans Dang and 5 other authors View PDF HTML (experimental) 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. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.18870 [quant-ph] (or arXiv:2601.18870v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.18870 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Luis L. Sanchez. Soto [view email] [v1] Mon, 26 Jan 2026 19:00:01 UTC (188 KB) Full-text links: Access Paper: View a PDF of the paper titled Experimental Demonstration of Commutation Relations Using Intensity Correlations, by Hans Dang and 5 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)