{"id":48,"date":"2018-08-20T16:08:16","date_gmt":"2018-08-20T14:08:16","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/?page_id=48"},"modified":"2022-10-29T09:25:13","modified_gmt":"2022-10-29T07:25:13","slug":"projects","status":"publish","type":"page","link":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/projects\/","title":{"rendered":"Projects"},"content":{"rendered":"<p>From 2019 to 20<span style=\"font-size: 1rem;\">23, <\/span><span style=\"color: #800000;\"><em>four <strong>postdocs<\/strong><\/em><\/span><span style=\"font-size: 1rem;\">, <\/span><em style=\"font-size: 1rem;\"><span style=\"color: #008000;\">one\u00a0<strong>PhD student<\/strong><\/span><\/em><span style=\"font-size: 1rem;\">\u00a0and <\/span><strong style=\"font-size: 1rem;\"><span style=\"color: #000000;\">I<\/span><\/strong><span style=\"font-size: 1rem;\"><span style=\"font-size: 1rem;\"> will join forces to shed light on the effects of localized perturbations on nonequilibrium states of strongly correlated systems.<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-94 size-thumbnail\" style=\"font-size: 1rem;\" src=\"http:\/\/lptms.u-psud.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-150x150.jpg 150w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-300x300.jpg 300w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-768x768.jpg 768w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-1024x1024.jpg 1024w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC-100x100.jpg 100w, https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/files\/2018\/08\/LOGO_ERC.jpg 1187w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/span><\/span><\/p>\n<p><span style=\"font-size: 1rem;\"><span style=\"font-size: 1rem;\"><strong style=\"font-size: 1rem;\">Papers supported by the grant:<\/strong><\/span><\/span><\/p>\n<ol>\n<li>M. Fagotti,\u00a0<em>On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system,\u00a0<\/em><a href=\"https:\/\/scipost.org\/SciPostPhys.6.5.059\/pdf\" target=\"_blank\" rel=\"noopener\">SciPost Phys. <strong>6<\/strong>, 059 (2019)<\/a><\/li>\n<li>V. Alba, B. Bertini, and M. Fagotti,\u00a0<em>Entanglement evolution and generalised hydrodynamics:\u00a0interacting integrable systems<\/em>,\u00a0<a href=\"https:\/\/scipost.org\/SciPostPhys.7.1.005\/pdf\" target=\"_blank\" rel=\"noopener\">SciPost Phys. <strong>7<\/strong>, 005 (2019)<\/a><\/li>\n<li>M. Fagotti,\u00a0<em>Locally quasi-stationary states in noninteracting spin chains<\/em>,\u00a0<a href=\"https:\/\/scipost.org\/SciPostPhys.8.3.048\/pdf\" target=\"_blank\" rel=\"noopener\">SciPost Phys. <strong>8<\/strong>, 048 (2020)<\/a><\/li>\n<li><span style=\"font-size: 1rem;\">T. Yoshimura, K. Bidzhiev, and H. Saleur,\u00a0<\/span><em style=\"font-size: 1rem;\">Non-Hermitian quantum impurity systems in and out of equilibrium: noninteracting case<\/em><span style=\"font-size: 1rem;\">,\u00a0 <a href=\"https:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.102.125124\" target=\"_blank\" rel=\"noopener\">Phys. Rev. B <strong>102<\/strong>, 125124 (2020)<\/a><\/span><\/li>\n<li>M. Medenjak, T. Prosen, and L. Zadnik,<em>\u00a0Rigorous bounds on dynamical response functions and time-translation symmetry breaking<\/em>, <a href=\"https:\/\/scipost.org\/SciPostPhys.9.1.003\/pdf\" target=\"_blank\" rel=\"noopener\">SciPost Phys. <strong>9<\/strong>, 003 (2020)<\/a><\/li>\n<li>E. Granet, M. Fagotti, and F. H. L Essler,\u00a0<em>Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions<\/em>, <a href=\"https:\/\/scipost.org\/SciPostPhys.9.3.033\/pdf\" target=\"_blank\" rel=\"noopener\">SciPost Phys. <strong>9<\/strong>, 033 (2020)<\/a><\/li>\n<li>L. Zadnik and M. Fagotti,\u00a0<em>The Folded Spin-1 2 XXZ Model:\u00a0I. Diagonalisation, Jamming, and Ground State Properties<\/em>,\u00a0<a href=\"https:\/\/doi.org\/10.21468\/SciPostPhysCore.4.2.010\" target=\"_blank\" rel=\"noopener\">SciPost Phys. Core <strong>4<\/strong>, 010 (2021)<\/a><\/li>\n<li>L. Zadnik, K. Bidzhiev, and M. Fagotti,\u00a0<em>The Folded Spin-1 2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges<\/em>,\u00a0<a href=\"https:\/\/doi.org\/10.21468\/SciPostPhys.10.5.099\" target=\"_blank\" rel=\"noopener\">SciPost Phys. \u00a0<b>10<\/b>, 099 (2021)<\/a><\/li>\n<li>V. Alba, B. Bertini, M. Fagotti, L. Piroli, and P. Ruggiero,\u00a0<em>Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects<\/em>,\u00a0 <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1742-5468\/ac257d\" target=\"_blank\" rel=\"noopener\">J. Stat. Mech. (2021) 114004<\/a><\/li>\n<li>K. Bidzhiev, M. Fagotti, and L. Zadnik,\u00a0<em>Macroscopic effects of localised measurements in jammed states of quantum spin<\/em> chains,\u00a0<a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.128.130603\" target=\"_blank\" rel=\"noopener\">Phys. Rev. Lett. <strong>128<\/strong>, 130603 (2022)<\/a><\/li>\n<li>M. Fagotti, <i>Global Quenches after Localised Perturbations<\/i>,\u00a0<a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.128.110602\" target=\"_blank\" rel=\"noopener\">Phys. Rev. Lett. <strong>128<\/strong>, 110602 (2022)<\/a><\/li>\n<li>L. Zadnik, S. Bocini, K. Bidzhiev, and M. Fagotti, <i>Measurement catastrophe and ballistic spread of charge density with vanishing current<\/i>, <a href=\"https:\/\/arxiv.org\/abs\/2111.06325\" target=\"_blank\" rel=\"noopener\">arXiv:2111.06325<\/a><\/li>\n<li>M. Fagotti, V. Mari\u010d, and L. Zadnik,\u00a0<em>Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles<\/em>,\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2205.02221\">arXiv:2205.02221<\/a><\/li>\n<li>V. Mari\u0107 and M. Fagotti,\u00a0<em>Universality in the tripartite information after global quenches,\u00a0<\/em><a href=\"https:\/\/arxiv.org\/abs\/2209.14253\" target=\"_blank\" rel=\"noopener\">arXiv:2209.14253<\/a><\/li>\n<li>S. Bocini and M. Fagotti,\u00a0<em>Growing Schr\u00f6dinger&#8217;s cat states by local unitary time evolution of product states,\u00a0<\/em><a href=\"https:\/\/arxiv.org\/abs\/2210.15585\" target=\"_blank\" rel=\"noopener\">arXiv:2210.15585<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>From 2019 to 2023, four postdocs, one\u00a0PhD student\u00a0and I will join forces to shed light on the effects of localized perturbations on nonequilibrium states of strongly correlated systems. Papers supported by the grant: M. Fagotti,\u00a0On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system,\u00a0SciPost Phys. 6, 059 (2019) &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/projects\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Projects&#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-48","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/48","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=48"}],"version-history":[{"count":14,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/48\/revisions"}],"predecessor-version":[{"id":623,"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/pages\/48\/revisions\/623"}],"wp:attachment":[{"href":"https:\/\/www.lptms.universite-paris-saclay.fr\/maurizio-fagotti\/wp-json\/wp\/v2\/media?parent=48"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}