{"id":4929,"date":"2018-04-02T04:32:00","date_gmt":"2018-04-02T04:32:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4929"},"modified":"2021-04-15T01:38:56","modified_gmt":"2021-04-15T01:38:56","slug":"introduction-to-focus-issue-on-hydrodynamic-quantum-analogs","status":"publish","type":"post","link":"http:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/02\/introduction-to-focus-issue-on-hydrodynamic-quantum-analogs\/","title":{"rendered":"Introduction to HQA focus issue. Chaos, 2018."},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-purple-background-color has-background-dim\" style=\"min-height:672px;aspect-ratio:unset;\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-style-twentytwentyone-border\"><img loading=\"lazy\" decoding=\"async\" width=\"1166\" height=\"466\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/IntroChaos.png\" alt=\"\" class=\"wp-image-4930\"\/><\/figure>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">Hydrodynamic quantum analogs is a nascent field initiated in 2005 by the discovery of a hydrodynamic pilot-wave system [Couder et al. (2005)]. The system consists of a millimetric droplet self-propeling along the surface of a vibrating bath through a resonant interaction with its own wave field [Bush,(2015)]. There are three critical ingredients for the quantum like-behavior. The first is \u201cpath memory\u201d [Eddi et el. (2011)], which renders the system non-Markovian: the instantaneous wave force acting on the droplet depends explicitly on its past. The second is the resonance condition between droplet and wave that ensures a highly structured monochromatic pilot wave field that imposes an effective potential on the walking droplet, resulting in preferred, quantized states. The third ingredient is chaos, which in several systems is characterized by unpredictable switching between unstable periodic orbits. This focus issue is devoted to recent studies of and relating to pilot-wave hydrodynamics, a field that attempts to answer the following simple but provocative question: Might deterministic chaotic pilot-wave dynamics underlie quantum statistics?<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See paper: <a href=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/ChaosIntro2018.pdf\" data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/ChaosIntro2018.pdf\">Bush, J.W.M., Couder, Y., Gilet, T., Milewski, P.A. and Nachbin, A., Chaos (2018)<\/a>.<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4931,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,18],"tags":[],"class_list":["post-4929","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pilot-wave-hydrodynamics","category-hqa-reviews","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Introduction to HQA focus issue. Chaos, 2018. - 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\/2018\/04\/02\/introduction-to-focus-issue-on-hydrodynamic-quantum-analogs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Introduction to HQA focus issue. Chaos, 2018. - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/02\/introduction-to-focus-issue-on-hydrodynamic-quantum-analogs\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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