A hydrodynamic analog of Friedel oscillations.

Sáenz, Pedro J; Cristea-Platon, Tudor; Bush, John W M

Sáenz, Pedro J; Cristea-Platon, Tudor; Bush, John W M.

Afiliación

Sáenz PJ; Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA.
Cristea-Platon T; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Bush JWM; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Sci Adv ; 6(20): eaay9234, 2020 May.

Article en En | MEDLINE | ID: mdl-32440541

RESUMEN

We present a macroscopic analog of an open quantum system, achieved with a classical pilot-wave system. Friedel oscillations are the angstrom-scale statistical signature of an impurity on a metal surface, concentric circular modulations in the probability density function of the surrounding electron sea. We consider a millimetric drop, propelled by its own wave field along the surface of a vibrating liquid bath, interacting with a submerged circular well. An ensemble of drop trajectories displays a statistical signature in the vicinity of the well that is strikingly similar to Friedel oscillations. The droplet trajectories reveal the dynamical roots of the emergent statistics. Our study elucidates a new mechanism for emergent quantum-like statistics in pilot-wave hydrodynamics and so suggests new directions for the nascent field of hydrodynamic quantum analogs.

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Sci Adv Año: 2020 Tipo del documento: Article País de afiliación: Estados Unidos Pais de publicación: Estados Unidos

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