{"id":10944,"date":"2024-08-24T10:20:47","date_gmt":"2024-08-24T08:20:47","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=10944"},"modified":"2024-08-29T10:23:33","modified_gmt":"2024-08-29T08:23:33","slug":"information-theory-bounds-on-randomness-based-phase-transitions-noa-feldman-lpt-seminar-10-09-2024-14h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/information-theory-bounds-on-randomness-based-phase-transitions-noa-feldman-lpt-seminar-10-09-2024-14h\/","title":{"rendered":"Information theory bounds on randomness-based phase transitions. &#8211; (Noa Feldman \/ LPT \/ Seminar). &#8211; 10\/09\/2024, 14H"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Noa Feldman<\/strong><\/span>(Universit\u00e9 de Tel Aviv)<\/span><\/p>\n<p><span style=\"background-color: #cecece;\">Seminar LPT, 10\/09\/2024, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n<p><span style=\"font-size: 20px; color: #191970;\"><strong>Abstract :<\/strong><\/span><\/p>\n<p>We introduce a new perspective on the connection between many-body physics and information theory. We study phase transitions in models with randomness, such as localization in disordered systems, or random quantum circuits with measurements.<\/p>\n<p>Utilizing information-based arguments regarding probability distribution differentiation, rigorous results for bounds on critical exponents in such phase transitions are obtained with a minimal amount of work.<br \/>\nWe first demonstrate our method by rederiving the well known Harris criterion, bounding \\noareal-space and dynamical critical exponents in the Anderson localization transition.<\/p>\n<p>We then move to obtain new bounds on critical exponents in many-body Fock space localization transition and localization in Coulomb-interactive models. Somewhat surprisingly, our bounds are not obeyed by previous studies of these systems, indicating possible inadequacies in their results, which we discuss. Finally, we apply our method to measurement-induced phase transition in random quantum circuits, obtaining bounds transcending recent mapping to percolation problems.<\/p>\n<p>&amp;nbsp;<\/p>\n<p>&lt;hr \/&gt;<\/p>\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>Noa Feldman (Universit\u00e9 de Tel Aviv)<\/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-10944","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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