{"id":3646,"date":"2013-02-07T18:11:00","date_gmt":"2013-02-07T18:11:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=3646"},"modified":"2021-04-15T03:35:10","modified_gmt":"2021-04-15T03:35:10","slug":"pilot-wave-dynamics-in-a-circular-corral","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/","title":{"rendered":"An HQA of the quantum corral"},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-subtle-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-image is-style-twentytwentyone-border\"><figure class=\"alignright size-large\"><img decoding=\"async\" src=\"http:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2013\/07\/corral-traj.jpg\" alt=\"\" class=\"wp-image-2682\"\/><figcaption>The buildup of a steady statistical state analogous to that in the quantum corral from a droplet walking in a circular corral.<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">Bouncing droplets can self-propel laterally along the surface of a vibrated fluid bath by virtue of a resonant&nbsp;interaction with their own wave field. The resulting walking droplets exhibit features reminiscent of microscopic&nbsp;quantum particles. Here we present the results of an experimental investigation of droplets walking in a circular&nbsp;corral. We demonstrate that a coherent wavelike statistical behavior emerges from the complex underlying&nbsp;dynamics and that the probability distribution is prescribed by the Faraday wave mode of the corral. The statistical&nbsp;behavior of the walking droplets is demonstrated to be analogous to that of electrons in quantum corrals.<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See papers:&nbsp;<a href=\"http:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2013\/07\/Harris-Corrals-2013.pdf\">Harris, Moukhtar, Fort, Couder and Bush (2013)<\/a>&nbsp;, &nbsp;<a href=\"http:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2013\/10\/Gallery-Harris-2013.pdf\">Harris &amp; Bush (2013)<\/a> and the associated <a href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2021\/02\/07\/pilot-wave-dynamics-of-walking-drops\/\">VIDEO.<\/a><\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">Select Press: &nbsp;<a href=\"http:\/\/web.mit.edu\/newsoffice\/2013\/when-fluid-dynamics-mimic-quantum-mechanics-0729.html\">MIT News&nbsp;<\/a>&nbsp;,&nbsp;<a href=\"http:\/\/www.tracinskiletter.com\/2013\/08\/rational-quantum-dynamics\/\">Tracinski Letter<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4020,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,3],"tags":[],"class_list":["post-3646","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hydrodynamic-quantum-analogues","category-pilot-wave-hydrodynamics","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>An HQA of the quantum corral - 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\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An HQA of the quantum corral - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. Bush\" \/>\n<meta property=\"article:published_time\" content=\"2013-02-07T18:11:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-15T03:35:10+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/corral.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"368\" \/>\n\t<meta property=\"og:image:height\" content=\"314\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data1\" content=\"1 minute\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/#website\",\"url\":\"https:\/\/thales.mit.edu\/bush\/\",\"name\":\"John W. M. Bush\",\"description\":\"Professor of Applied Mathematics, MIT\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/thales.mit.edu\/bush\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/corral.jpg\",\"contentUrl\":\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/corral.jpg\",\"width\":368,\"height\":314},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#webpage\",\"url\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/\",\"name\":\"An HQA of the quantum corral - John W. M. Bush\",\"isPartOf\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#primaryimage\"},\"datePublished\":\"2013-02-07T18:11:00+00:00\",\"dateModified\":\"2021-04-15T03:35:10+00:00\",\"author\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/#\/schema\/person\/a9fe68c435ef049a3b089b5bb46446b1\"},\"breadcrumb\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"item\":{\"@type\":\"WebPage\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/\",\"url\":\"https:\/\/thales.mit.edu\/bush\/\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"position\":2,\"item\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/#webpage\"}}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/#\/schema\/person\/a9fe68c435ef049a3b089b5bb46446b1\",\"name\":\"John WM Bush\",\"url\":\"https:\/\/thales.mit.edu\/bush\/index.php\/author\/bush\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/posts\/3646","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/comments?post=3646"}],"version-history":[{"count":14,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/posts\/3646\/revisions"}],"predecessor-version":[{"id":6847,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/posts\/3646\/revisions\/6847"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/media\/4020"}],"wp:attachment":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/media?parent=3646"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/categories?post=3646"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/tags?post=3646"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}