{"id":351,"date":"2022-07-06T22:22:00","date_gmt":"2022-07-06T20:22:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=351"},"modified":"2025-11-08T14:51:33","modified_gmt":"2025-11-08T13:51:33","slug":"measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2022\/07\/06\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\/","title":{"rendered":"Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms"},"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 perform collective spin measurements to study the buildup of two-body correlations between \u224810<sup>4<\/sup> spin <em>s<\/em>=3 chromium atoms pinned in a 3D optical lattice. The spins interact via long range and anisotropic dipolar interactions. From the fluctuations of total magnetization, measured at the standard quantum limit, we estimate the dynamical growth of the connected pairwise correlations associated with magnetization. The quantum nature of the correlations is assessed by comparisons with short and long time expansions,and numerical simulations. <\/p>\n\n\n\n<p>Our work shows that measuring fluctuations of spin populations provides new ways to characterize correlations in quantum many-body systems, for <em>s<\/em>&gt;1\/2 spins.<\/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-64f597c7\" 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-Measuring-spin-fluctuation-correlations-16f602.svg\" alt=\"\" class=\"wp-image-1621\" style=\"border-style:none;border-width:0px;border-radius:10px\"\/><figcaption class=\"wp-element-caption\">Principle of the experiment. Spin 3 chromium atoms are excited at t = 0 by a RF pulse. The spin directions then makes an angle \u03b8 with respect to B, which triggers spin dynamics. Correlations develop between spins, while doubly occupied sites get empty.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>We perform collective spin measurements to study the buildup of two-body correlations between \u224810^4 spin s=3 chromium atoms pinned in a 3D optical lattice.<br \/>\n<a href=\" \t\nhttps:\/\/doi.org\/10.48550\/arXiv.2201.07277\">arXiv:2201.07277 (2022)<\/a>  \/  <a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.129.023401\">Phys. Rev. Lett. 129, 023401 (2022)<\/a><\/p>\n","protected":false},"author":3,"featured_media":1621,"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":[57,50,26,61,52,58,55,49],"class_list":["post-351","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-chromium","tag-ana-maria-rey","tag-bihui-zhu","tag-bruno-laburthe-tolra","tag-laurent-vernac","tag-sean-robert-muleady","tag-tommaso-roscilde","tag-william-dubosclard","tag-youssef-aziz-alaoui"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms - 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\/2022\/07\/06\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"We perform collective spin measurements to study the buildup of two-body correlations between \u224810^4 spin s=3 chromium atoms pinned in a 3D optical lattice. arXiv:2201.07277 (2022) \/ Phys. Rev. Lett. 129, 023401 (2022)\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2022\/07\/06\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\/\" \/>\n<meta property=\"og:site_name\" content=\"Magnetic Quantum Gases\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-06T20:22:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-11-08T13:51:33+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\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/\"},\"author\":{\"name\":\"Benjamin PASQUIOU\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\"},\"headline\":\"Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms\",\"datePublished\":\"2022-07-06T20:22:00+00:00\",\"dateModified\":\"2025-11-08T13:51:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/\"},\"wordCount\":156,\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/wp-content\\\/uploads\\\/2025\\\/11\\\/Article-Measuring-spin-fluctuation-correlations-16f602.svg\",\"keywords\":[\"Ana Maria Rey\",\"Bihui Zhu\",\"Bruno Laburthe-Tolra\",\"Laurent Vernac\",\"Sean Robert Muleady\",\"Tommaso Roscilde\",\"William Dubosclard\",\"Youssef Aziz Alaoui\"],\"articleSection\":[\"Article\",\"Chromium\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2022\\\/07\\\/06\\\/measuring-correlations-from-the-collective-spin-fluctuations-of-a-large-ensemble-of-lattice-trapped-dipolar-spin-3-atoms\\\/\",\"name\":\"Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms - 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