{"id":1189,"date":"2019-11-20T10:46:06","date_gmt":"2019-11-20T08:46:06","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/a-geometric-approach-to-quantum-thermodynamics-from-quantum-fluctuations-to-optimal-protocols\/"},"modified":"2019-11-20T10:46:06","modified_gmt":"2019-11-20T08:46:06","slug":"a-geometric-approach-to-quantum-thermodynamics-from-quantum-fluctuations-to-optimal-protocols","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/a-geometric-approach-to-quantum-thermodynamics-from-quantum-fluctuations-to-optimal-protocols\/","title":{"rendered":"A geometric approach to quantum thermodynamics: from quantum fluctuations to optimal protocols"},"content":{"rendered":"<p><i><font color=\"#000000\" size=\"+2\"><font style=\"font-size:10pt\">The average dissipation generated during a slow thermodynamic process can be characterised by introducing a metric on the space of Gibbs states, in such a way that minimally-dissipating protocols correspond to geodesic trajectories. Furthermore, the dissipation is proportional to the work fluctuations for classical systems (which follows from the fluctuation-dissipation relation (FDR)), so that minimising dissipation also minimises fluctuations. In this talk, I will explain how this geometric picture is modified in the quantum regime. First, I will show that slowly driven quantum systems violate the classical FDR whenever quantum coherence is generated along the protocol, implying that quantum non-commutativity prohibits finding slow protocols that minimise both dissipation and fluctuations simultaneously. Instead, we develop a quantum geometric framework to find processes with an optimal trade-off between the two quantities. Furthermore, I will show that such quantum fluctuations lead to a non-Gaussian work distribution, in contrast to the Gaussian shape typically found in classical slow processes. <\/font><\/font><\/i><\/p>\n<p><i><font color=\"#000000\" size=\"+2\"><font style=\"font-size:10pt\">This talk is based on: arXiv:1810.05583, arXiv:1905.07328, and arXiv:1911.04306.<\/font><\/font><\/i><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The average dissipation generated during a slow thermodynamic process can be characterised by introducing a metric on the space of Gibbs states, in such a way that minimally-dissipating protocols correspond to geodesic trajectories. Furthermore, the dissipation is proportional to the work fluctuations for classical systems (which follows from the fluctuation-dissipation relation (FDR)), so that minimising [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1189","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1189","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=1189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}