Energy-resolved transport of ultracold atoms across the Anderson transition: theory and experiment

[2602.22063] Energy-resolved transport of ultracold atoms across the Anderson transition: theory and experiment Skip to main content Search Submit Donate Log in Condensed Matter > Quantum Gases arXiv:2602.22063 (cond-mat) [Submitted on 25 Feb 2026 ( v1 ), last revised 25 Aug 2026 (this version, v2)] Title: Energy-resolved transport of ultracold atoms across the Anderson transition: theory and experiment Authors: Jean-Philippe Banon , Sacha Barré , Ke Xie , Hoa Mai Quach , Xudong Yu , Yukun Guo , Myneni Niranjan , Alain Aspect , Vincent Josse , Nicolas Cherroret View PDF HTML (experimental) Abstract: In a recent experiment [X. Yu et al., arXiv:2602.07654 ], energy-resolved measurements of an atomic matter wave spreading in a speckle potential enabled the direct observation of the three-dimensional Anderson transition. In this work, we present a quantitative theoretical description of the matter-wave dynamics based on a tailored implementation of the self-consistent theory of localization, which incorporates both the spectral and spatial properties of the state prepared in the disorder. We benchmark this theoretical approach against ab initio numerical simulations, and use it to analyze the atom density profiles observed experimentally in the localized, diffusive, and critical regimes. Particular emphasis is placed on the key role of the atomic energy distribution, especially on the distinct contributions of Bose-condensed and thermal atoms to interpret the experimental profiles. Our framework provides a versatile and efficient theoretical toolbox for quantitatively describing wave-packet dynamics in three-dimensional disordered quantum systems, which remain challenging for state-of-the-art large-scale numerical simulations. Subjects: Quantum Gases (cond-mat.quant-gas) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) Cite as: arXiv:2602.22063 [cond-mat.quant-gas] (or arXiv:2602.22063v2 [cond-mat.quant-gas] for this version) https://doi.org/10.48550/arXiv.2602.22063 Focus to learn more arXiv-issued DOI via DataCite Journal reference: New Journal of Physics 28 084510, Published 24 August 2026 Related DOI : https://doi.org/10.1088/1367-2630/ae8bd2 Focus to learn more DOI(s) linking to related resources Submission history From: Jean-Philippe Banon [ view email ] [v1] Wed, 25 Feb 2026 16:10:34 UTC (24,442 KB) [v2] Tue, 25 Aug 2026 07:37:43 UTC (6,107 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.quant-gas < prev | next > new | recent | 2026-02 Change to browse by: cond-mat cond-mat.dis-nn References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation 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? ) 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? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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