{"id":34618,"date":"2017-02-16T11:46:29","date_gmt":"2017-02-16T19:46:29","guid":{"rendered":"http:\/\/lifeboat.com\/blog\/2017\/02\/quantum-non-markovianity-induced"},"modified":"2017-06-04T07:12:46","modified_gmt":"2017-06-04T14:12:46","slug":"quantum-non-markovianity-induced","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2017\/02\/quantum-non-markovianity-induced","title":{"rendered":"Quantum non-Markovianity induced by Anderson localization"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/quantum-non-markovianity-induced-by-anderson-localization.jpg\"><\/a><\/p>\n<p>Nice information on Quantum open systems via the existence of a functional relationship between a rigorous measure of quantum non\u2013<i>Markovian <\/i>ity and the CCA localization. Sharing with my other QC R&amp;D friends.<\/p>\n<hr>\n<p>As discovered by P. W. Anderson, <i>excitation<\/i>s do not propagate freely in a <i>disordered<\/i> lattice, but, due to destructive interference, they localise. As a consequence, when an atom interacts with a <i>disordered<\/i> lattice, one indeed observes a non-trivial <i>excitation<\/i> exchange between atom and lattice. Such non-trivial atomic dynamics will in general be characterised also by a non-trivial quantum information backflow, a clear signature of non\u2013<i>Markovian<\/i> dynamics. To investigate the above scenario, we consider a quantum emitter, or atom, <i>weakly<\/i> coupled to a uniform coupled-cavity array (CCA). If initially excited, in the absence of disorder, the emitter undergoes a <i>Markovian<\/i> spontaneous emission by releasing all its <i>excitation<\/i> into the CCA (initially in its vacuum state). By introducing <i>static disorder<\/i> in the CCA the field normal modes become Anderson-localized, giving rise to a non\u2013<i>Markovian<\/i> atomic dynamics. We show the existence of a functional relationship between a rigorous measure of quantum non\u2013<i>Markovian <\/i>ity and the CCA localization. We furthermore show that the <i>average<\/i> non\u2013<i>Markovian <\/i>ity of the atomic dynamics is well-described by a phenomenological model in which the atom is coupled, at the same time, to a <i>single<\/i> mode and to a standard \u2014 <i>Markovian<\/i> \u2014 dissipative bath.<\/p>\n<p><!-- Link: <a href=\"http:\/\/www.nature.com\/articles\/srep42729\">http:\/\/www.nature.com\/articles\/srep42729<\/a> --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nice information on Quantum open systems via the existence of a functional relationship between a rigorous measure of quantum non\u2013Markovian ity and the CCA localization. Sharing with my other QC R&amp;D friends. As discovered by P. W. Anderson, excitations do not propagate freely in a disordered lattice, but, due to destructive interference, they localise. As [\u2026]<\/p>\n","protected":false},"author":395,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[48,1617],"tags":[],"class_list":["post-34618","post","type-post","status-publish","format-standard","hentry","category-particle-physics","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/34618","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/395"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=34618"}],"version-history":[{"count":3,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/34618\/revisions"}],"predecessor-version":[{"id":58693,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/34618\/revisions\/58693"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=34618"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=34618"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=34618"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}