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Directionality emergence and localization in a quantum random Lorentz gas

arXiv Quantum Archived Mar 16, 2026 ✓ Full text saved

arXiv:2603.12432v1 Announce Type: new Abstract: The propagation of a spherical wave through a two-dimensional random Lorentz gas composed of small fixed scatterers is studied. Inspired by the Mott problem (how an initially isotropic quantum wave can give rise to a single particle-like track), we investigate, on a schematic model, whether such a directional behavior can emerge purely from the multiscattering process, without any explicit measurement or decoherence mechanism. Using the Foldy-Lax f

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Quantum Physics [Submitted on 12 Mar 2026] Directionality emergence and localization in a quantum random Lorentz gas Baptiste Lorent, Jean-Marc Sparenberg, David Gaspard The propagation of a spherical wave through a two-dimensional random Lorentz gas composed of small fixed scatterers is studied. Inspired by the Mott problem (how an initially isotropic quantum wave can give rise to a single particle-like track), we investigate, on a schematic model, whether such a directional behavior can emerge purely from the multiscattering process, without any explicit measurement or decoherence mechanism. Using the Foldy-Lax formalism, we derive the far-field angular behavior of the wavefunction, and introduce a directionality vector to quantify its anisotropy and identify its preferred direction. Numerical simulations reveal the existence of a strongly directional regime within a specific wavenumber range, which emerges from multiscattering with more than 100 scatterers and which can be related to Anderson localization. Comments: 19 pages, 5 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.12432 [quant-ph] (or arXiv:2603.12432v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.12432 Focus to learn more Submission history From: Baptiste Lorent [view email] [v1] Thu, 12 Mar 2026 20:29:07 UTC (3,277 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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