{"id":8940,"date":"2023-03-24T10:12:17","date_gmt":"2023-03-24T09:12:17","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=8940"},"modified":"2023-03-24T10:12:58","modified_gmt":"2023-03-24T09:12:58","slug":"tensor-network-methods-for-non-equilibrium-dynamics-of-quantum-spin-liquids-ravi-teja-ponnaganti-lpt-these-28-03-2023-15h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tensor-network-methods-for-non-equilibrium-dynamics-of-quantum-spin-liquids-ravi-teja-ponnaganti-lpt-these-28-03-2023-15h\/","title":{"rendered":"Tensor network methods for non-equilibrium dynamics of quantum spin liquids. &#8211; (Ravi Teja Ponnaganti \/ LPT \/ Th\u00e8se). &#8211; 28\/03\/2023, 15H"},"content":{"rendered":"<p><span style=\"font-size: 20px; color: #191970;\"><strong>Ravi Teja Ponnaganti ,<\/strong><\/span> LPT, Salle de Conf\u00e9rence FERMI 3R4<\/p>\n<p>Sous la direction de <strong>Didier Poilblanc et Matthieu Mambrini.<\/strong><\/p>\n<p><span style=\"font-size: 20px;\"><strong>R\u00e9sum\u00e9:<\/strong><\/span><\/p>\n<p>L&rsquo;un des aspects les plus int\u00e9ressants de la physique de la mati\u00e8re condens\u00e9e moderne, qui \u00e9tudie les \u00e9lectrons interactifs \u00e0 partir d&rsquo;un niveau microscopique et macroscopique, peut \u00eatre r\u00e9sum\u00e9 en une phrase : \u00ab\u00a0Plus c&rsquo;est diff\u00e9rent\u00a0\u00bb. La pr\u00e9sence d&rsquo;interactions fortes et d&rsquo;entrelacement dans un syst\u00e8me gouvern\u00e9 par la m\u00e9canique quantique peut conduire \u00e0 plusieurs \u00e9tats exotiques de la mati\u00e8re si le syst\u00e8me a un grand nombre de particules. Les liquides de spin quantiques sont l&rsquo;un de ces ensembles d&rsquo;\u00e9tats exotiques qui ont suscit\u00e9 un int\u00e9r\u00eat significatif, non seulement en raison de leurs propri\u00e9t\u00e9s int\u00e9ressantes, mais aussi en raison des applications technologiques possibles. Les progr\u00e8s rapides dans les configurations d&rsquo;exp\u00e9riences d&rsquo;atomes froids, en particulier les simulateurs d&rsquo;atomes de Rydberg, ont ouvert de nouvelles avenues pour \u00e9tudier ces liquides de spin en une et deux dimensions. Cela appelle \u00e0 des techniques th\u00e9oriques avanc\u00e9es pour \u00e9tudier les propri\u00e9t\u00e9s de non-\u00e9quilibre des \u00e9tats quantiques purs isol\u00e9s. Les m\u00e9thodes de diagonalisation exacte sont s\u00e9v\u00e8rement restreintes par les tailles de syst\u00e8me. Les groupes de renormalisation de matrice de densit\u00e9 d\u00e9pendant du temps (tDMRG) et les \u00e9tats de produit matriciel (MPS) sont actuellement explor\u00e9s pour \u00e9tudier la dynamique d&rsquo;un quench des syst\u00e8mes unidimensionnels [3-6], bien que leur applicabilit\u00e9 aux syst\u00e8mes avec des corr\u00e9lations critiques soit discutable. Cependant, de telles techniques n&rsquo;existent actuellement pas pour les syst\u00e8mes bidimensionnels. L&rsquo;objectif de cette th\u00e8se est de d\u00e9velopper des algorithmes num\u00e9riques pour \u00e9tudier les propri\u00e9t\u00e9s de non-\u00e9quilibre des liquides de spin sur un r\u00e9seau carr\u00e9 suite \u00e0 un quench quantique en utilisant le cadre des r\u00e9seaux de tenseurs. Une forme variationnelle d&rsquo;ansatz d&rsquo;\u00e9tat d&rsquo;appariement de paire entrelac\u00e9e projet\u00e9e (PEPS) est utilis\u00e9e pour d\u00e9crire les liquides de spin. Une nouvelle forme sym\u00e9trique du groupe de renormalisation de matrice de transfert de coin (CTMRG), l&rsquo;algorithme n\u00e9cessaire pour construire la matrice de densit\u00e9 r\u00e9duite de la fonction d&rsquo;onde dans la limite thermodynamique, est d\u00e9crite. Pour \u00e9tudier la dynamique du quench, deux algorithmes appel\u00e9s mise \u00e0 jour simple et optimisation variationnelle, ainsi que les modifications n\u00e9cessaires pour les adapter \u00e0 l&rsquo;\u00e9tude des fonctions d&rsquo;onde des liquides de spin, sont expliqu\u00e9s. Les outils sont ensuite utilis\u00e9s pour \u00e9tudier la dynamique de non-\u00e9quilibre de l&rsquo;\u00e9tat de liaison de valence r\u00e9sonnante (RVB) avec seulement les configurations de liaison de valence de plus proche voisin (NN), qui est un \u00e9tat de liquide de spin connu pour pr\u00e9senter des corr\u00e9lations de dim\u00e8res critiques.<\/p>\n<hr \/>\n<div class=\"leaflet-map WPLeafletMap\" style=\"height:300px; width:80%;\"><\/div><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMapShortcode() {\/*<script>*\/\nvar baseUrl = atob('aHR0cHM6Ly97c30udGlsZS5vcGVuc3RyZWV0bWFwLm9yZy97en0ve3h9L3t5fS5wbmc=');\nvar base = (!baseUrl && window.MQ) ?\n    window.MQ.mapLayer() : L.tileLayer(baseUrl,\n        L.Util.extend({}, {\n            detectRetina: 0,\n        },\n        {\"subdomains\":\"abc\",\"noWrap\":false,\"maxZoom\":18}        )\n    );\n    var options = L.Util.extend({}, {\n        layers: [base],\n        attributionControl: false\n    },\n    {\"zoomControl\":true,\"scrollWheelZoom\":true,\"doubleClickZoom\":true,\"fitBounds\":true,\"minZoom\":9,\"maxZoom\":18,\"maxBounds\":null,\"attribution\":\"<a href=\\\"http:\\\/\\\/leafletjs.com\\\" title=\\\"Une biblioth\\u00e8que JS pour des cartes interactives\\\">Leaflet<\\\/a>; \\u00a9 <a href=\\\"http:\\\/\\\/www.openstreetmap.org\\\/copyright\\\">OpenStreetMap<\\\/a> contributeurs\"},\n    {});\nwindow.WPLeafletMapPlugin.createMap(options).setView([43.560705280387,1.4674275538563],16);window.WPLeafletMapPlugin.createScale({});});<\/script>\n<script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMarkerShortcode() {\/*<script>*\/\nvar map = window.WPLeafletMapPlugin.getCurrentMap();\nvar group = window.WPLeafletMapPlugin.getCurrentGroup();\nvar marker_options = window.WPLeafletMapPlugin.getIconOptions({});\nvar marker = L.marker(\n    [0,0],\n    marker_options\n);\nvar is_image = map.is_image_map;\n    marker.setLatLng( map.getCenter() );\nif (marker_options.draggable) {\n    marker.on('dragend', function () {\n        var latlng = this.getLatLng();\n        var lat = latlng.lat;\n        var lng = latlng.lng;\n        if (is_image) {\n            console.log('leaflet-marker y=' + lat + ' x=' + lng);\n        } else {\n            console.log('leaflet-marker lat=' + lat + ' lng=' + lng);\n        }\n    });\n}\nmarker.addTo( group );\nmarker.bindPopup(window.WPLeafletMapPlugin.unescape('FeRMI'));window.WPLeafletMapPlugin.markers.push( marker );\n        });<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Ravi Teja Ponnaganti , LPT, Salle de Conf\u00e9rence FERMI 3R4 Sous la direction de Didier Poilblanc et Matthieu Mambrini. R\u00e9sum\u00e9: L&rsquo;un des aspects les plus int\u00e9ressants de la physique de&hellip;&nbsp;<a href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tensor-network-methods-for-non-equilibrium-dynamics-of-quantum-spin-liquids-ravi-teja-ponnaganti-lpt-these-28-03-2023-15h\/\" rel=\"bookmark\">Lire la suite &raquo;<span class=\"screen-reader-text\">Tensor network methods for non-equilibrium dynamics of quantum spin liquids. &#8211; (Ravi Teja Ponnaganti \/ LPT \/ Th\u00e8se). &#8211; 28\/03\/2023, 15H<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,308,313],"class_list":["post-8940","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-hdr-thesis","tribe_events_cat-lpt","cat_events","cat_hdr-thesis","cat_lpt"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Tensor network methods for non-equilibrium dynamics of quantum spin liquids. - (Ravi Teja Ponnaganti \/ LPT \/ Th\u00e8se). - 28\/03\/2023, 15H - FeRMI<\/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:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/tensor-network-methods-for-non-equilibrium-dynamics-of-quantum-spin-liquids-ravi-teja-ponnaganti-lpt-these-28-03-2023-15h\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tensor network methods for non-equilibrium dynamics of quantum spin liquids. - (Ravi Teja Ponnaganti \/ LPT \/ Th\u00e8se). - 28\/03\/2023, 15H - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Ravi Teja Ponnaganti , LPT, Salle de Conf\u00e9rence FERMI 3R4 Sous la direction de Didier Poilblanc et Matthieu Mambrini. 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