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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2512.21263 |
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| _version_ | 1866915693486669824 |
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| author | Rozenman, Georgi Gary McKee, Kyle I. Lazarus, Arnaud Frumkin, Valeri Bush, John W M |
| author_facet | Rozenman, Georgi Gary McKee, Kyle I. Lazarus, Arnaud Frumkin, Valeri Bush, John W M |
| contents | We report the results of an experimental study of an analog of the Aharonov-Bohm (AB) effect achieved with the hydrodynamic pilot-wave system. A walking droplet is confined to an annular cavity that encircles a shielded vortex, but lies outside its range of direct influence. While there is no vortex-induced flow in the immediate vicinity of the droplets, the vortex modifies the droplet's spatially extended pilot-wave field that guides its motion, producing a vortex-dependent bias in the droplet's orbital speed. High-speed tracking and delay-embedding reconstructions yield Wigner-like phase-space distributions for this hydrodynamic system that exhibits a rigid, flux-dependent translation, providing a force-free, gauge-like realization of an AB-type phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observation of the Aharonov-Bohm Effect in Pilot-Wave Hydrodynamics Rozenman, Georgi Gary McKee, Kyle I. Lazarus, Arnaud Frumkin, Valeri Bush, John W M Fluid Dynamics Quantum Physics We report the results of an experimental study of an analog of the Aharonov-Bohm (AB) effect achieved with the hydrodynamic pilot-wave system. A walking droplet is confined to an annular cavity that encircles a shielded vortex, but lies outside its range of direct influence. While there is no vortex-induced flow in the immediate vicinity of the droplets, the vortex modifies the droplet's spatially extended pilot-wave field that guides its motion, producing a vortex-dependent bias in the droplet's orbital speed. High-speed tracking and delay-embedding reconstructions yield Wigner-like phase-space distributions for this hydrodynamic system that exhibits a rigid, flux-dependent translation, providing a force-free, gauge-like realization of an AB-type phase. |
| title | Observation of the Aharonov-Bohm Effect in Pilot-Wave Hydrodynamics |
| topic | Fluid Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2512.21263 |