{"id":4562,"date":"2021-03-27T18:18:47","date_gmt":"2021-03-27T18:18:47","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?page_id=4562"},"modified":"2021-03-31T12:32:13","modified_gmt":"2021-03-31T12:32:13","slug":"hydrodynamic-quantum-analogues-2","status":"publish","type":"page","link":"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/","title":{"rendered":"Hydrodynamic quantum analogues"},"content":{"rendered":"\n<div class=\"wp-block-group alignfull\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-drop-cap tw-text-wide wp-block-paragraph\">In 2005, Yves Couder and Emmanuel Fort discovered that droplets walking on a vibrating fluid bath exhibit features previously thought to be peculiar to the quantum realm. Since 2010, this hydrodynamic system has been the focus of my group\u2019s research. Particular attention has been given to identifying new hydrodynamic quantum analogs in the laboratory, and to rationalizing the emergent quantum-like behaviour theoretically. We have also developed and explored theoretically a broader class of pilot-wave systems that provide a mathematical bridge between the walking-droplet system and the dynamics proposed by de Broglie and others for the microscopic, quantum realm.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"--col-width:100%;flex-basis:100%\">\n<div class=\"wp-block-group alignfull is-style-default\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-cover aligncenter has-background-dim is-style-twentytwentyone-border\"><img loading=\"lazy\" decoding=\"async\" width=\"192\" height=\"192\" class=\"wp-block-cover__image-background wp-image-4063\" alt=\"\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/ffr.jpg\" data-object-fit=\"cover\"\/><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong><em>&#8220;Truth, like gold, is not to be obtained by its growth, but by washing away from it <\/em><\/strong><br><strong><em>all that is not gold.&#8221; <\/em><\/strong><br>&#8211; Leo Tolstoy<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignwide has-background\" style=\"background-color:#81add9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\"><ul class=\"wp-block-latest-posts__list is-grid columns-4 alignwide tw-stretched-link tw-heading-size-small tw-img-ratio-1-1 is-style-twentytwentyone-latest-posts-dividers wp-block-latest-posts is-layout-flow wp-block-latest-posts-is-layout-flow\"><li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"978\" height=\"940\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/09\/squarelatt.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:96.11%;max-width:978px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2021\/09\/19\/hydrodynamic-spin-lattices\/\">Hydrodynamic spin lattices<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"350\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/GPWF-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100.57%;max-width:348px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2021\/04\/03\/classical-pilot-wave-dynamics-the-free-particle\/\">Generalized Pilot-Wave Framework: the free particle<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"258\" height=\"242\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/HQFT2-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:93.8%;max-width:258px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/12\/03\/hydrodynamic-quantum-field-theory-the-onset-of-motion-and-the-form-of-the-pilot-wave\/\">Hydrodynamic quantum field theory II<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"354\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/FreeRing-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:92.67%;max-width:382px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/10\/29\/free-rings-of-bouncing-droplets\/\">Bouncing drops: free rings<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"280\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/Friedel-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:99.29%;max-width:282px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/08\/28\/a-hydrodynamic-analog-of-friedel-oscillations\/\">HQA of Friedel oscillations<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"460\" height=\"362\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/Ring-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:78.7%;max-width:460px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/07\/28\/collective-vibrations-of-confined-levitating-drops\/\">Bouncers in a confined ring<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"436\" height=\"416\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/HQFT1-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:95.41%;max-width:436px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/04\/03\/hydrodynamic-quantum-field-theory-the-free-particle\/\">Hydrodynamic quantum field theory I<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"516\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/tunnel-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:93.82%;max-width:550px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/04\/03\/predictability-in-a-hydrodynamic-pilot-wave-system-resolution-of-walker-tunneling\/\">Walkers tunnel: experiments<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"478\" height=\"482\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/InLine-DTB-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100.84%;max-width:478px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2020\/01\/03\/speed-oscillations-in-classical-pilot-wave-dynamics\/\">Speed oscillations in classical pilot-wave dynamics<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"322\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Pairs-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:87.98%;max-width:366px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/12\/01\/bouncing-phase-variations-in-pilot-wave-hydrodynamics-and-the-stability-of-droplet-pairs\/\">The stability of droplet pairs<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"586\" height=\"562\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Turton.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:95.9%;max-width:586px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/06\/01\/a-review-of-the-theoretical-modeling-of-walking-droplets-toward-a-generalized-pilot-wave-framework\/\">Toward a generalized pilot-wave theory<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"538\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/ChaosIntro-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:89.07%;max-width:604px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/02\/introduction-to-focus-issue-on-hydrodynamic-quantum-analogs\/\">Introduction to HQA focus issue. Chaos, 2018.<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"272\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Ratchet-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:88.31%;max-width:308px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/ratcheting-droplet-pairs\/\">Ratcheting droplet pairs<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"270\" height=\"272\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/SpinThumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100.74%;max-width:270px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/hydrodynamic-spin-states\/\">Hydrodynamic spin states<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"418\" height=\"396\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/DureyChaos-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:94.74%;max-width:418px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/dynamics-emergent-statistics-and-the-mean-pilot-wave-potential-of-walking-droplets\/\">The mean-pilot-wave potential<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"608\" height=\"616\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/TambGPWT-thumb-1.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:101.32%;max-width:608px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/exploring-orbital-dynamics-and-trapping-with-a-generalized-pilot-wave-framework\/\">GPWF: orbital dynamics and trapping<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"386\" height=\"378\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Crossing-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:97.93%;max-width:386px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/bouncing-droplet-dynamics-above-the-faraday-threshold\/\">Crossing the Faraday threshold<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"392\" height=\"410\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/TudorCorral-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:104.59%;max-width:392px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/03\/29\/walkers-in-a-circular-corral-quantisation-and-chaos\/\">Orbits in a circular corral<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"366\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/Spiral-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:80.26%;max-width:456px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/03\/29\/walker-pillar-interactions-from-scattering-to-the-logarithmic-spiral\/\">Walker-pillar interactions<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"406\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Promenade-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:89.04%;max-width:456px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/01\/31\/promenading-pairs-of-walking-droplets-dynamics-and-stability\/\">Promenading droplet pairs<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"272\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Dett-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:97.84%;max-width:278px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/03\/simulations-of-pilot-wave-dynamics-in-a-simple-harmonic-potential\/\">Walker motion in a spring force<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"444\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/TunnelNach-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:97.37%;max-width:456px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/03\/tunneling-with-a-hydrodynamic-pilot-wave-model\/\">Walkers tunnel: numerics<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"588\" height=\"588\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/slits-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100%;max-width:588px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/02\/walking-droplets-interacting-with-single-and-double-slits\/\">Walker slit diffraction<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"790\" height=\"710\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/OrbitingPairs-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:89.87%;max-width:790px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/02\/orbiting-pairs-of-walking-droplets-dynamics-and-stability\/\">Orbiting droplet pairs<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"522\" height=\"512\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/EllipseCorral-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:98.08%;max-width:522px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/03\/29\/statistical-projection-effects\/\">Statistical projection effects<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"590\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/Talbot-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:94.86%;max-width:622px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2017\/03\/28\/the-hydrodynamic-talbot-effect\/\">Hydrodynamic Talbot effect<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"256\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/PWChaos-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:98.46%;max-width:260px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2016\/03\/29\/the-onset-of-chaos-in-orbital-pilot-wave-dynamics\/\">Orbital dynamics: onset of chaos<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"368\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/Schlieren2-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:92.46%;max-width:398px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2016\/03\/29\/4675\/\">Surface Schlieren and walking drops<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"268\" height=\"266\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/reflect-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:99.25%;max-width:268px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2016\/03\/27\/non-specular-reflection-of-walking-droplets\/\">Non-specular reflection<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"386\" height=\"340\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/orbitpair2.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:88.08%;max-width:386px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2016\/03\/27\/orbits\/\">Circular orbits in a central force<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"350\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/FlowViz3-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:91.62%;max-width:382px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2016\/02\/06\/visualizing-pilot-wave-phenomena-the-60-rig\/\">Visualizing pilot-wave phenomena<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"380\" height=\"385\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/ddd.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:101.32%;max-width:380px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/06\/18\/pilot-wave-hydrodynamics-a-review\/\">Pilot-wave hydrodynamics. ARFM, 2015<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"482\" height=\"482\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/shaker.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100%;max-width:482px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/how-to-build-a-better-shaker\/\">Building a better shaker table<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"746\" height=\"672\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/DropGen2.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:90.08%;max-width:746px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/how-to-build-a-better-drop-generator\/\">Building a better drop generator<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"274\" height=\"274\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/dynamics.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100%;max-width:274px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/pilot-wave-dynamics-modeling-computation\/\">Faraday pilot-wave dynamics<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"406\" height=\"380\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/PhysToday-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:93.6%;max-width:406px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/the-new-wave-of-pilot-wave-theory\/\">The new wave of pilot-wave theory. Physics Today, 2015.<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"954\" height=\"645\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/droplet-bouncind-on-the-free-surface.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:67.61%;max-width:954px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/12\/06\/the-hydrodynamic-boost-factor-of-walking-drops\/\">Hydrodynamic boost factor<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"650\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/exoticorbits-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:98.48%;max-width:660px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/08\/07\/walkers-in-a-rotating-frame-exotic-orbits\/\">Exotic orbits in a rotating frame<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"522\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/OzaObt-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:95.26%;max-width:548px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/02\/07\/walkers-in-a-rotating-frame-orbital-stability\/\">Rotating frame: Orbital stability<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"428\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/orbitexpts-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100%;max-width:428px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/01\/07\/walkers-in-a-rotating-frame-experiments\/\">Rotating frame: Experiments<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"332\" height=\"329\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/Capture-de\u0301cran-2021-04-03-a\u0300-11.08.59.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:99.1%;max-width:332px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/12\/07\/hydrodynamic-pilot-wave-theory\/\">The stroboscopic model<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"460\" height=\"432\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/ExoticWalk-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:93.91%;max-width:460px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/11\/17\/exotic-states-of-bouncing-and-walking-drops\/\">Bouncing and walking exotica<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"316\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/walker-thumb2.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:101.94%;max-width:310px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/03\/27\/droplets-walking-on-a-vibrating-fluid-bath\/\">Walking droplets: theory<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"396\" height=\"256\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/MB1-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:64.65%;max-width:396px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/03\/17\/droplets-bouncing-on-a-vibrating-fluid-bath\/\">Bouncing droplets: theory<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"314\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/corral.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:85.33%;max-width:368px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-in-a-circular-corral\/\">An HQA of the quantum corral<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"274\" height=\"270\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/WalkerGallery-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:98.54%;max-width:274px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2013\/02\/07\/pilot-wave-dynamics-of-walking-drops\/\">Video: Pilot-wave hydrodynamics<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/impacting-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:100%;max-width:300px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2012\/04\/02\/a-quasi-static-model-of-drop-impact\/\">Quasi-static drop impact<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"596\" height=\"554\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/03\/QMwrit-thumb.png\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:92.95%;max-width:596px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2010\/03\/18\/quantum-mechanics-writ-large\/\">QM writ large<\/a><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><img loading=\"lazy\" decoding=\"async\" width=\"419\" height=\"228\" src=\"https:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/drops.jpg\" class=\"attachment-large size-large wp-post-image\" alt=\"\" style=\"width:100%;height:54.42%;max-width:419px;max-width:1024px;max-height:1024px;\" \/><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2009\/04\/02\/drops-bouncing-on-a-vibrating-soap-film\/\">Drops bouncing on a vibrating soap film<\/a><\/li>\n<\/ul><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In 2005, Yves Couder and Emmanuel Fort discovered that droplets walking on a vibrating fluid bath exhibit features previously thought to be peculiar to the quantum realm. Since 2010, this hydrodynamic system has been the focus of my group\u2019s research. Particular attention has been given to identifying new hydrodynamic quantum analogs in the laboratory, and&hellip; <a class=\"more-link\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/\">Continue reading <span class=\"screen-reader-text\">Hydrodynamic quantum analogues<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-4562","page","type-page","status-publish","hentry","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Hydrodynamic quantum analogues - 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\/hydrodynamic-quantum-analogues-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hydrodynamic quantum analogues - John W. M. Bush\" \/>\n<meta property=\"og:description\" content=\"In 2005, Yves Couder and Emmanuel Fort discovered that droplets walking on a vibrating fluid bath exhibit features previously thought to be peculiar to the quantum realm. Since 2010, this hydrodynamic system has been the focus of my group\u2019s research. Particular attention has been given to identifying new hydrodynamic quantum analogs in the laboratory, and&hellip; Continue reading Hydrodynamic quantum analogues\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. Bush\" \/>\n<meta property=\"article:modified_time\" content=\"2021-03-31T12:32:13+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/ffr.jpg\" \/>\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\":\"http:\/\/thales.mit.edu\/bush\/#website\",\"url\":\"http:\/\/thales.mit.edu\/bush\/\",\"name\":\"John W. M. Bush\",\"description\":\"Professor of Applied Mathematics, MIT\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"http:\/\/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\/hydrodynamic-quantum-analogues-2\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/ffr.jpg\",\"contentUrl\":\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/02\/ffr.jpg\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/#webpage\",\"url\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/\",\"name\":\"Hydrodynamic quantum analogues - John W. M. Bush\",\"isPartOf\":{\"@id\":\"http:\/\/thales.mit.edu\/bush\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/#primaryimage\"},\"datePublished\":\"2021-03-27T18:18:47+00:00\",\"dateModified\":\"2021-03-31T12:32:13+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"item\":{\"@type\":\"WebPage\",\"@id\":\"http:\/\/thales.mit.edu\/bush\/\",\"url\":\"http:\/\/thales.mit.edu\/bush\/\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"position\":2,\"item\":{\"@id\":\"https:\/\/thales.mit.edu\/bush\/index.php\/hydrodynamic-quantum-analogues-2\/#webpage\"}}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/pages\/4562","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/comments?post=4562"}],"version-history":[{"count":27,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/pages\/4562\/revisions"}],"predecessor-version":[{"id":4800,"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/pages\/4562\/revisions\/4800"}],"wp:attachment":[{"href":"https:\/\/thales.mit.edu\/bush\/index.php\/wp-json\/wp\/v2\/media?parent=4562"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}