{"id":1519,"date":"2008-11-26T21:52:00","date_gmt":"2008-11-26T20:52:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=1519"},"modified":"2025-11-08T16:45:13","modified_gmt":"2025-11-08T15:45:13","slug":"a-feshbach-resonance-in-d-wave-collisions","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2008\/11\/26\/a-feshbach-resonance-in-d-wave-collisions\/","title":{"rendered":"A Feshbach resonance in d-wave collisions"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>We find that three-body losses associated with this resonance increase with temperature, and that the loss feature width as a function of magnetic field also increases linearly with temperature. The analysis of our experimental data shows that the Feshbach coupling is small compared both to the temperature and to the density limited lifetime of the resonant bound molecular state. One consequence is that the three-body loss rate is proportional to the square of the number of atoms, and that we can directly relate the amplitude of the losses to the Feshbach coupling parameter.<\/p>\n\n\n\n<p>We compare our measurement to a calculation of the coupling between the collisional channel and the molecular bound state by dipole-dipole interactions, and find a good agreement, with no adjustable parameter.<\/p>\n\n\n\n<p>An analysis of the loss line shape is also performed, which enables to precisely measure the position of the resonance.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image aligncenter size-full has-custom-border is-style-rounded wp-duotone-unset-1\" id=\"wp-block-themeisle-blocks-image-5e5c63ab\" style=\"margin-top:var(--wp--preset--spacing--20);margin-right:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20);margin-left:var(--wp--preset--spacing--20)\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/11\/Article-d-wave-Feshbach-resonance-69bf2d.svg\" alt=\"\" class=\"wp-image-1662\" style=\"border-style:none;border-width:0px;border-radius:10px\"\/><figcaption class=\"wp-element-caption\">Left: Number of atoms remaining in the trap after a hold time of 10 s, in the vicinity of the Feshbach resonance, at temperature 15 \u03bcK. Right: typical time evolution of the number of atoms after the magnetic field is set at the magnetic field corresponding to maximum losses.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>We analyze a narrow Feshbach resonance with ultracold chromium atoms colliding in \ud835\udc51 wave. The resonance is made possible by dipole-dipole interactions, which couple an incoming \ud835\udc59=2 collision channel with a bound molecular state with \ud835\udc59=0.<br \/>\n<a href=\"https:\/\/doi.org\/10.48550\/arXiv.0811.4282\">arXiv:0811.4282 (2008)<\/a>  \/  <a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.79.032706\">Phys. Rev. A 79, 032706 (2009)<\/a><\/p>\n","protected":false},"author":3,"featured_media":1662,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[18,63],"tags":[269,26,31,61,42,151,271],"class_list":["post-1519","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-chromium","tag-anne-crubellier","tag-bruno-laburthe-tolra","tag-etienne-marechal","tag-laurent-vernac","tag-olivier-gorceix","tag-quentin-beaufils","tag-thomas-zanon"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>A Feshbach resonance in d-wave collisions - Magnetic Quantum Gases<\/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:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2008\/11\/26\/a-feshbach-resonance-in-d-wave-collisions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A Feshbach resonance in d-wave collisions - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"We analyze a narrow Feshbach resonance with ultracold chromium atoms colliding in \ud835\udc51 wave. The resonance is made possible by dipole-dipole interactions, which couple an incoming \ud835\udc59=2 collision channel with a bound molecular state with \ud835\udc59=0. arXiv:0811.4282 (2008) \/ Phys. Rev. A 79, 032706 (2009)\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2008\/11\/26\/a-feshbach-resonance-in-d-wave-collisions\/\" \/>\n<meta property=\"og:site_name\" content=\"Magnetic Quantum Gases\" \/>\n<meta property=\"article:published_time\" content=\"2008-11-26T20:52:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-11-08T15:45:13+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin PASQUIOU\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin PASQUIOU\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/\"},\"author\":{\"name\":\"Benjamin PASQUIOU\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\"},\"headline\":\"A Feshbach resonance in d-wave collisions\",\"datePublished\":\"2008-11-26T20:52:00+00:00\",\"dateModified\":\"2025-11-08T15:45:13+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/\"},\"wordCount\":197,\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-d-wave-Feshbach-resonance-69bf2d.svg\",\"keywords\":[\"Anne Crubellier\",\"Bruno Laburthe-Tolra\",\"Etienne Mar\u00e9chal\",\"Laurent Vernac\",\"Olivier Gorceix\",\"Quentin Beaufils\",\"Thomas Zanon\"],\"articleSection\":[\"Article\",\"Chromium\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/\",\"name\":\"A Feshbach resonance in d-wave collisions - Magnetic Quantum Gases\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-d-wave-Feshbach-resonance-69bf2d.svg\",\"datePublished\":\"2008-11-26T20:52:00+00:00\",\"dateModified\":\"2025-11-08T15:45:13+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#primaryimage\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-d-wave-Feshbach-resonance-69bf2d.svg\",\"contentUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-d-wave-Feshbach-resonance-69bf2d.svg\",\"width\":300,\"height\":300,\"caption\":\"Left: Number of atoms remaining in the trap after a hold time of 10 s, in the vicinity of the Feshbach resonance, at temperature 15 \u03bcK. Right: typical time evolution of the number of atoms after the magnetic field is set at the magnetic field corresponding to maximum losses.\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2008\\\/11\\\/26\\\/a-feshbach-resonance-in-d-wave-collisions\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"A Feshbach resonance in d-wave collisions\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#website\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/\",\"name\":\"Magnetic Quantum Gases\",\"description\":\"Explore quantum magnetism with ultra-cold atom gases.\",\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\",\"name\":\"Magnetic Quantum Gases\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/cropped-Condensation_512px.png\",\"contentUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/cropped-Condensation_512px.png\",\"width\":512,\"height\":512,\"caption\":\"Magnetic Quantum Gases\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\",\"name\":\"Benjamin PASQUIOU\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g\",\"caption\":\"Benjamin PASQUIOU\"},\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/author\\\/benjamin-pasquiou\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"A Feshbach resonance in d-wave collisions - Magnetic Quantum Gases","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2008\/11\/26\/a-feshbach-resonance-in-d-wave-collisions\/","og_locale":"en_US","og_type":"article","og_title":"A Feshbach resonance in d-wave collisions - Magnetic Quantum Gases","og_description":"We analyze a narrow Feshbach resonance with ultracold chromium atoms colliding in \ud835\udc51 wave. 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Right: typical time evolution of the number of atoms after the magnetic field is set at the magnetic field corresponding to maximum losses."},{"@type":"BreadcrumbList","@id":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2008\/11\/26\/a-feshbach-resonance-in-d-wave-collisions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/gqm.lpl.univ-paris13.fr\/"},{"@type":"ListItem","position":2,"name":"A Feshbach resonance in d-wave collisions"}]},{"@type":"WebSite","@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#website","url":"https:\/\/gqm.lpl.univ-paris13.fr\/","name":"Magnetic Quantum Gases","description":"Explore quantum magnetism with ultra-cold atom gases.","publisher":{"@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/gqm.lpl.univ-paris13.fr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#organization","name":"Magnetic Quantum Gases","url":"https:\/\/gqm.lpl.univ-paris13.fr\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#\/schema\/logo\/image\/","url":"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/10\/cropped-Condensation_512px.png","contentUrl":"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/10\/cropped-Condensation_512px.png","width":512,"height":512,"caption":"Magnetic Quantum Gases"},"image":{"@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/gqm.lpl.univ-paris13.fr\/#\/schema\/person\/edd1441f419c30858a44ed007fc1fc79","name":"Benjamin PASQUIOU","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f830cb90b39b89a47400329189c692407a76ff849fbc89ac7df353e712db23e0?s=96&d=mm&r=g","caption":"Benjamin PASQUIOU"},"url":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/author\/benjamin-pasquiou\/"}]}},"jetpack_featured_media_url":"https:\/\/gqm.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/11\/Article-d-wave-Feshbach-resonance-69bf2d.svg","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/posts\/1519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/comments?post=1519"}],"version-history":[{"count":2,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/posts\/1519\/revisions"}],"predecessor-version":[{"id":1663,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/posts\/1519\/revisions\/1663"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/media\/1662"}],"wp:attachment":[{"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/media?parent=1519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/categories?post=1519"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/wp-json\/wp\/v2\/tags?post=1519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}