{"id":10987,"date":"2024-09-23T08:34:37","date_gmt":"2024-09-23T06:34:37","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=10987"},"modified":"2024-09-25T10:01:32","modified_gmt":"2024-09-25T08:01:32","slug":"facteurs-de-forme-effectifs-pour-lasymptotique-des-determinants-de-fredholm-a-temperature-finie-oleksandr-gamayun-lpt-seminar-1-10-2024-14h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/facteurs-de-forme-effectifs-pour-lasymptotique-des-determinants-de-fredholm-a-temperature-finie-oleksandr-gamayun-lpt-seminar-1-10-2024-14h\/","title":{"rendered":"Facteurs de forme effectifs pour l\u2019asymptotique des d\u00e9terminants de Fredholm \u00e0 temp\u00e9rature finie. &#8211; (Oleksandr Gamayun \/ LPT \/ Seminar). &#8211; 1\/10\/2024, 14H"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Oleksandr Gamayun <\/strong><\/span>(London Institute for Mathematical Sciences)<\/span><\/p>\n<p><span style=\"background-color: #cecece;\">Seminar LPT, 1\/10\/2024, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Abstract <\/strong><\/span><br \/>\nThe behavior of correlation functions in one-dimensional quantum systems at zero temperature is now very well understood in terms of linear and non-linear Luttinger models. The \u00ab\u00a0microscopic\u00a0\u00bb justification of these models consists in the exact accounting for soft-mode excitations around the vacuum state and at most few high-energy excitations. At finite temperature, or more generically for finite entropy states, this direct approach is not strictly applicable due to the different structure of \u00ab\u00a0soft\u00a0\u00bb excitations. We focus on physical systems where the strong interaction makes it possible to present correlation functions in terms of Fredholm determinants of the generalized sine kernels. Based on \u00ab\u00a0microscopic\u00a0\u00bb resummations, we develop a phenomenological approach of the effective form factors that allow us to describe the asymptotic behavior of these Fredholm determinants. We demonstrate how this works for correlation functions in the XY model, mobile impurity, and the generic Toeplitz determinants.<\/span><\/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('Seminar room, 3R1'));window.WPLeafletMapPlugin.markers.push( marker );\n        });<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Oleksandr Gamayun : London Institute for Mathematical Sciences<\/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":"","neve_meta_reading_time":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,313,233],"class_list":["post-10987","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-lpt","tribe_events_cat-seminars","cat_events","cat_lpt","cat_seminars"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - 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