{"id":4634,"date":"2020-08-28T21:00:00","date_gmt":"2020-08-28T21:00:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4634"},"modified":"2021-04-15T04:14:11","modified_gmt":"2021-04-15T04:14:11","slug":"a-hydrodynamic-analog-of-friedel-oscillations","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/08\/28\/a-hydrodynamic-analog-of-friedel-oscillations\/","title":{"rendered":"HQA of Friedel oscillations"},"content":{"rendered":"\n
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When a walking droplet approaches a submerged well, it is drawn in along an Archimedean spiral. In exiting the well, the drop executes in-line speed oscillations that result in a coherent statistical signature analogous to Friedel oscillations.<\/figcaption><\/figure>\n\n\n\n

We present a macroscopic analog of an open quantum system, achieved with a classical pilot-wave system. Friedel oscillations are the angstrom-scale statistical 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.<\/p>\n\n\n\n

See paper: S\u00e1enz, P.J., Cristea-Platon, T. and Bush, J.W.M. Bush (2020)<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4636,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,3],"tags":[],"class_list":["post-4634","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hydrodynamic-quantum-analogues","category-pilot-wave-hydrodynamics","entry"],"yoast_head":"\nHQA of Friedel oscillations - John W. M. Bush<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/08\/28\/a-hydrodynamic-analog-of-friedel-oscillations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"HQA of Friedel oscillations - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/08\/28\/a-hydrodynamic-analog-of-friedel-oscillations\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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