{"id":527,"date":"2019-05-14T16:24:00","date_gmt":"2019-05-14T14:24:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=527"},"modified":"2025-11-04T09:45:00","modified_gmt":"2025-11-04T08:45:00","slug":"dynamics-of-an-itinerant-spin-3-atomic-dipolar-gas-in-an-optical-lattice","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2019\/05\/14\/dynamics-of-an-itinerant-spin-3-atomic-dipolar-gas-in-an-optical-lattice\/","title":{"rendered":"Dynamics of an itinerant spin-3 atomic dipolar gas in an optical lattice"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-995f960e 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 class=\"wp-block-paragraph\">Arrays of ultracold dipolar gases loaded in optical lattices are emerging as powerful quantum simulators of the many-body physics associated with the rich interplay between long-range dipolar interactions, contact interactions, motion, and quantum statistics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this work we report on our investigation of the quantum many-body dynamics of a large ensemble of bosonic magnetic chromium atoms with spin \ud835\udc46=3 in a three-dimensional lattice as a function of lattice depth. Using extensive theory and experimental comparisons, we study the dynamics of the population of the different Zeeman levels and the total magnetization of the gas across the superfluid to the Mott insulator transition.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We are able to identify two distinct regimes. At low lattice depths, where atoms are in the superfluid regime, we observe that the spin dynamics is strongly determined by the competition between particle motion, on-site interactions, and external magnetic-field gradients. Contact spin-dependent interactions help to stabilize the collective spin length, which sets the total magnetization of the gas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On the contrary, at high lattice depths, transport is largely frozen out. In this regime, while the spin populations are mainly driven by long-range dipolar interactions, magnetic-field gradients also play a major role in the total spin demagnetization.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We find that the dynamics at low lattice depth is qualitatively reproduced by mean-field calculations based on the Gutzwiller ansatz; on the contrary, only a beyond-mean-field theory can account for the dynamics at large lattice depths.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">While the crossover between these two regimes does not display sharp features in the observed dynamical evolution of the spin components, our simulations indicate that it would be better revealed by measurements of the collective spin length.<\/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 is-resized has-custom-border is-style-rounded wp-duotone-unset-1\" id=\"wp-block-themeisle-blocks-image-deefb9ea\" 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-Dynamic-itinerant-spin-3-695687.svg\" alt=\"\" class=\"wp-image-1577\" style=\"border-style:none;border-width:0px;border-radius:10px;aspect-ratio:1;object-fit:cover;width:300px\"\/><figcaption class=\"wp-element-caption\">Schematic of system diagram indicating the 3D geometry of the optical lattice, the interactions and tunneling processes. The magnetic field (with direction B in the uX \u2212 uY plane) has a gradient lying along the uZ direction (lower inset). Each spin-3 chromium atom also has its sublevels shifted by a quadratic Zeeman term (upper inset).<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>In this work we report on our investigation of the quantum many-body dynamics of a large ensemble of bosonic magnetic chromium atoms with spin \ud835\udc46=3 in a three-dimensional lattice as a function of lattice depth. Using extensive theory and experimental comparisons, we study the dynamics of the population of the different Zeeman levels and the total magnetization of the gas across the superfluid to the Mott insulator transition.<br \/>\n<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1905.06123\">arXiv:1905.06123 (2019)<\/a>  \/  <a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.100.033609\">Phys. Rev. A 100, 033609 (2019)<\/a><\/p>\n","protected":false},"author":3,"featured_media":1577,"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":[57,136,50,26,61,109,139,135,111],"class_list":["post-527","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-chromium","tag-ana-maria-rey","tag-arghavan-safavi-naini","tag-bihui-zhu","tag-bruno-laburthe-tolra","tag-laurent-vernac","tag-lucas-gabardos","tag-p-blair-blakie","tag-petra-fersterer","tag-steven-lepoutre"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Dynamics of an itinerant spin-3 atomic dipolar gas in an optical lattice - 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\/2019\/05\/14\/dynamics-of-an-itinerant-spin-3-atomic-dipolar-gas-in-an-optical-lattice\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dynamics of an itinerant spin-3 atomic dipolar gas in an optical lattice - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"In this work we report on our investigation of the quantum many-body dynamics of a large ensemble of bosonic magnetic chromium atoms with spin \ud835\udc46=3 in a three-dimensional lattice as a function of lattice depth. Using extensive theory and experimental comparisons, we study the dynamics of the population of the different Zeeman levels and the total magnetization of the gas across the superfluid to the Mott insulator transition. arXiv:1905.06123 (2019) \/ Phys. Rev. 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