{"id":10949,"date":"2024-10-27T10:37:01","date_gmt":"2024-10-27T09:37:01","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=10949"},"modified":"2024-10-30T08:35:38","modified_gmt":"2024-10-30T07:35:38","slug":"modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\/","title":{"rendered":"Modes z\u00e9ro forts dans les circuits quantiques int\u00e9grables. &#8211; (Eric Vernier \/ LPT \/ Seminar). &#8211; 12\/11\/2024, 14H"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><span style=\"color: #191970;\"><strong>Eric Vernier <\/strong><\/span>(LPSM)<\/span><\/p>\n<p><span style=\"background-color: #cecece;\">Seminar LPT, 12\/11\/2024, 14H, 3R1, seminar room, 3rd floor<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><strong>Abstract :<\/strong><\/span><br \/>\nIt is a classic result that certain interacting integrable spin chains host robust edge modes known as strong zero modes (SZMs). In this Letter, we extend this result to the Floquet setting of local quantum circuits, focusing on a prototypical model providing an integrable Trotterization for the evolution of the XXZ Heisenberg spin chain. By exploiting the algebraic structures of integrability, we show that an exact SZM operator can be constructed for these integrable quantum circuits in certain regions of parameter space. Our construction, which recovers a well-known result by Paul Fendley in the continuous-time limit, relies on a set of commuting transfer matrices known from integrability, and allows us to easily prove important properties of the SZM, including normalizabilty. Our approach is different from previous methods and could be of independent interest even in the Hamiltonian setting. Our predictions, which are corroborated by numerical simulations of infinite-temperature autocorrelation functions, are potentially interesting for implementations of the XXZ quantum circuit on available quantum platforms.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Eric Vernier (LPSM)<\/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-10949","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 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Modes z\u00e9ro forts dans les circuits quantiques int\u00e9grables. - (Eric Vernier \/ LPT \/ Seminar). - 12\/11\/2024, 14H - 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\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Modes z\u00e9ro forts dans les circuits quantiques int\u00e9grables. - (Eric Vernier \/ LPT \/ Seminar). - 12\/11\/2024, 14H - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Eric Vernier (LPSM)\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\/\" \/>\n<meta property=\"og:site_name\" content=\"FeRMI\" \/>\n<meta property=\"article:modified_time\" content=\"2024-10-30T07:35:38+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\\\/\",\"url\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\\\/\",\"name\":\"Modes z\u00e9ro forts dans les circuits quantiques int\u00e9grables. - (Eric Vernier \\\/ LPT \\\/ Seminar). - 12\\\/11\\\/2024, 14H - FeRMI\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/#website\"},\"datePublished\":\"2024-10-27T09:37:01+00:00\",\"dateModified\":\"2024-10-30T07:35:38+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/event\\\/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Events\",\"item\":\"https:\\\/\\\/fermi.univ-tlse3.fr\\\/fr\\\/home\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Modes z\u00e9ro forts dans les circuits quantiques int\u00e9grables. &#8211; 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