{"id":988,"date":"2014-05-26T22:27:50","date_gmt":"2014-05-26T20:27:50","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/lieb-robinson-bounds-light-matter-interactions-error-bounds-numerical-stimulation\/"},"modified":"2014-05-26T22:27:50","modified_gmt":"2014-05-26T20:27:50","slug":"lieb-robinson-bounds-light-matter-interactions-error-bounds-numerical-stimulation","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/lieb-robinson-bounds-light-matter-interactions-error-bounds-numerical-stimulation\/","title":{"rendered":"Lieb-Robinson bounds for light-matter interactions with error bounds for numerical stimulation methods such as TEDOPA"},"content":{"rendered":"<p><span style=\"font-family: arial, sans-serif;\"><big>We derive &nbsp;Lieb-Robinson bounds for arbitrary system Hamiltonians interacting with a quadratic bosonic Hamiltonian.&nbsp;<\/big><\/span><big><span>&nbsp;We apply these results to achieve bounds for discretising a continuum bath of bosonic oscillators even though there is no apparent locality in the model; providing bounds for the Spin-Boson model and its&nbsp;generalizations<\/span><span>.<\/span><span>&nbsp;These bounds as well as having physical significance, have important consequences for the&nbsp;efficiency&nbsp;of simulating such systems numerically.<\/span><span>&nbsp;We also discuss how to monitor&nbsp;the error introduced by truncating the infinite local dimensions of the bath, with this fully rigorous error bounds on the numerical simulation of infinite dimension bosonic baths are achieved,&nbsp;providing<\/span><span>&nbsp;error bounds for TEDOPA (Time Evolving Density Matrix with Orthogonal Polynomial Algorithm).<\/span><\/big><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We derive &nbsp;Lieb-Robinson bounds for arbitrary system Hamiltonians interacting with a quadratic bosonic Hamiltonian.&nbsp;&nbsp;We apply these results to achieve bounds for discretising a continuum bath of bosonic oscillators even though there is no apparent locality in the model; providing bounds for the Spin-Boson model and its&nbsp;generalizations.&nbsp;These bounds as well as having physical significance, have important [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-988","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/988","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/20"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=988"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}