{"id":22,"date":"2018-08-20T16:02:47","date_gmt":"2018-08-20T14:02:47","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/?page_id=22"},"modified":"2018-08-27T08:33:55","modified_gmt":"2018-08-27T06:33:55","slug":"research-interests","status":"publish","type":"page","link":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/research-interests\/","title":{"rendered":"Research Interests"},"content":{"rendered":"<div class=\"page\" title=\"Page 3\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p>I am a theorist working on low dimensional many-body quantum systems.<\/p>\n<h6><strong>Interests:<\/strong><\/h6>\n<blockquote><p><span style=\"font-size: 12pt\">Quench dynamics<\/span><\/p><\/blockquote>\n<table style=\"width: 100%;border-collapse: collapse\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50.51724137931035%\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-342 aligncenter\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/quench-300x103.jpg\" alt=\"\" width=\"300\" height=\"103\" \/><\/td>\n<td style=\"width: 49.48275862068965%;vertical-align: middle\">\n<ul>\n<li>Time evolution of local observables<\/li>\n<li style=\"text-align: left\"><span style=\"font-family: inherit;font-size: inherit\">Effects of localised defects in nonequilibrium states<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<blockquote><p><span style=\"font-size: 12pt\">Entanglement<\/span><\/p><\/blockquote>\n<table style=\"width: 100%;border-collapse: collapse\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%\">\n<p><figure id=\"attachment_351\" aria-describedby=\"caption-attachment-351\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-351 size-medium\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/entropy_exc_states-300x209.jpg\" alt=\"\" width=\"300\" height=\"209\" srcset=\"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/entropy_exc_states-300x209.jpg 300w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/entropy_exc_states-768x535.jpg 768w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/entropy_exc_states.jpg 948w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-351\" class=\"wp-caption-text\"><span style=\"font-size: 8pt\">(fig. from <a href=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/publications#ententexcst\" target=\"_blank\" rel=\"noopener\">J. Stat. Mech. (2009) P10020<\/a>)<\/span><\/figcaption><\/figure><\/td>\n<td style=\"width: 50%\">\n<ul>\n<li>Entanglement measures in many-body systems<\/li>\n<li><span style=\"font-family: inherit;font-size: inherit\">Universal properties of the entanglement entropies<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<blockquote><p>Integrable systems<\/p><\/blockquote>\n<table style=\"width: 100%;border-collapse: collapse\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%\">\n<p><figure id=\"attachment_353\" aria-describedby=\"caption-attachment-353\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-353 size-medium\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/Integrable-non-300x172.jpg\" alt=\"\" width=\"300\" height=\"172\" srcset=\"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/Integrable-non-300x172.jpg 300w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/Integrable-non.jpg 751w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-353\" class=\"wp-caption-text\"><span style=\"font-size: 8pt\">(fig. from <a href=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/publications#chcuquspch\" target=\"_blank\" rel=\"noopener\">2017 J. Phys. A: Math. Theor. 50 034005<\/a>)<\/span><\/figcaption><\/figure><\/td>\n<td style=\"width: 50%;vertical-align: middle\">\n<ul>\n<li>Conservation laws<\/li>\n<li><span style=\"font-family: inherit;font-size: inherit\">Weak integrability breaking<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<blockquote><p>&nbsp;<\/p><\/blockquote>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"page\" title=\"Page 3\">\n<div class=\"layoutArea\">\n<h6><strong>Methods:<\/strong><\/h6>\n<blockquote><p><span style=\"font-size: 12pt\">Analytical<\/span><\/p><\/blockquote>\n<table style=\"height: 128px;width: 60%;border-collapse: collapse\" border=\"0\">\n<tbody>\n<tr style=\"height: 128px\">\n<td style=\"width: 50%;height: 128px\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-345 aligncenter\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/Illustration_of_Yang_Baxter_Equation-300x195.png\" alt=\"\" width=\"150\" height=\"97\" \/><\/td>\n<td style=\"width: 50%;height: 128px\">\n<ul>\n<li>Free-fermion techniques<\/li>\n<li><span style=\"font-family: inherit;font-size: inherit\">Bethe ansatz<\/span><\/li>\n<li><span style=\"font-family: inherit;font-size: inherit\">Perturbation theory<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class=\"page\" title=\"Page 3\">\n<div class=\"layoutArea\">\n<blockquote><p><span style=\"font-size: 12pt\">Numerical<\/span><\/p><\/blockquote>\n<table style=\"width: 60%;border-collapse: collapse\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%\"><span style=\"color: #333333;font-size: 1rem\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-347 aligncenter\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/Matrix_product_state_obc_tikz.svg_.png\" alt=\"\" width=\"150\" height=\"51\" \/><\/span><\/td>\n<td style=\"width: 50%\">\n<ul>\n<li><span style=\"color: #333333;font-size: 1rem\">Exact diagonalization<\/span><\/li>\n<li><span style=\"font-family: inherit;font-size: inherit\">Tensor-network algorithms<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>I am a theorist working on low dimensional many-body quantum systems. Interests: Quench dynamics Time evolution of local observables Effects of localised defects in nonequilibrium states Entanglement Entanglement measures in many-body systems Universal properties of the entanglement entropies Integrable systems Conservation laws Weak integrability breaking &nbsp; Methods: Analytical Free-fermion techniques Bethe ansatz Perturbation theory Numerical &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/research-interests\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Research Interests&#8221;<\/span><\/a><\/p>\n","protected":false},"author":51,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/users\/51"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":39,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":343,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/22\/revisions\/343"}],"wp:attachment":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}