{"id":688,"date":"2018-04-26T19:33:00","date_gmt":"2018-04-26T17:33:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=688"},"modified":"2025-11-04T10:02:45","modified_gmt":"2025-11-04T09:02:45","slug":"collective-spin-modes-of-a-trapped-quantum-ferrofluid","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2018\/04\/26\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\/","title":{"rendered":"Collective spin modes of a trapped quantum ferrofluid"},"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>Initially, all spins point perpendicular to the external magnetic field. The lowest energy mode consists of a sinusoidal oscillation of the local spin around its original axis, with an oscillation amplitude that linearly depends on the spatial coordinates. The frequency of the oscillation is set by the zero-point kinetic energy of the BEC. The observations are in excellent agreement with hydrodynamic equations.<\/p>\n\n\n\n<p>The observed spin mode has a universal character, independent of the atomic spin and spin-dependent contact interactions.<\/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-5cb2d588\" 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-Collective-spin-mode-3fea4d.svg\" alt=\"\" class=\"wp-image-1583\" style=\"border-style:none;border-width:0px;border-radius:10px\"\/><figcaption class=\"wp-element-caption\">A BEC is initially polarized perpendicular to the external magnetic field. Spin collective modes are excited by a\nmagnetic field inhomogeneities. The mode is analyzed after separation of the spin components by a Stern-Gerlach procedure.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>We report on the observation of a collective spin mode in a spinor Bose-Einstein condensate.<br \/>\n<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1804.10254\">arXiv:1804.10254 (2018)<\/a>  \/  <a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.121.013201\">Phys. Rev. Lett. 121, 013201 (2018)<\/a><\/p>\n","protected":false},"author":3,"featured_media":1583,"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":[18,63,129],"tags":[26,31,155,61,109,42,44,111],"class_list":["post-688","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-chromium","category-theory","tag-bruno-laburthe-tolra","tag-etienne-marechal","tag-kaci-kechadi","tag-laurent-vernac","tag-lucas-gabardos","tag-olivier-gorceix","tag-paolo-pedri","tag-steven-lepoutre"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Collective spin modes of a trapped quantum ferrofluid - 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\/2018\/04\/26\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Collective spin modes of a trapped quantum ferrofluid - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"We report on the observation of a collective spin mode in a spinor Bose-Einstein condensate. arXiv:1804.10254 (2018) \/ Phys. Rev. Lett. 121, 013201 (2018)\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2018\/04\/26\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\/\" \/>\n<meta property=\"og:site_name\" content=\"Magnetic Quantum Gases\" \/>\n<meta property=\"article:published_time\" content=\"2018-04-26T17:33:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-11-04T09:02:45+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\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/\"},\"author\":{\"name\":\"Benjamin PASQUIOU\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\"},\"headline\":\"Collective spin modes of a trapped quantum ferrofluid\",\"datePublished\":\"2018-04-26T17:33:00+00:00\",\"dateModified\":\"2025-11-04T09:02:45+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/\"},\"wordCount\":122,\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Collective-spin-mode-3fea4d.svg\",\"keywords\":[\"Bruno Laburthe-Tolra\",\"Etienne Mar\u00e9chal\",\"Kaci Kechadi\",\"Laurent Vernac\",\"Lucas Gabardos\",\"Olivier Gorceix\",\"Paolo Pedri\",\"Steven Lepoutre\"],\"articleSection\":[\"Article\",\"Chromium\",\"Theory\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/\",\"name\":\"Collective spin modes of a trapped quantum ferrofluid - Magnetic Quantum Gases\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Collective-spin-mode-3fea4d.svg\",\"datePublished\":\"2018-04-26T17:33:00+00:00\",\"dateModified\":\"2025-11-04T09:02:45+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2018\\\/04\\\/26\\\/collective-spin-modes-of-a-trapped-quantum-ferrofluid\\\/#primaryimage\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Collective-spin-mode-3fea4d.svg\",\"contentUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Collective-spin-mode-3fea4d.svg\",\"width\":300,\"height\":300,\"caption\":\"A BEC is initially polarized perpendicular to the external magnetic field. 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