Master Thesis on Friday Oct 22, 2021 at 12:00 Place: Zoom Seminar Title: Spontaneous synchronization in spin systems Speaker: Lucía Rodrigo Bort, IFISC Abstract: <p>This Master Thesis is focused on the study of the fundamental properties that a system must<br /> possess to be able to show synchronization in the quantum regime. In the article “Synchronizing<br /> the Smallest Possible System” [1] it was claimed that quantum two-level systems are not a good<br /> candidate, as they lack a limit cycle and cannot be seen as self-sustained oscillators, therefore the<br /> smallest system to be a three-level system.<br /> Our intention is to raise objections to this idea using two main arguments. First, we start ques-<br /> tioning the definition of the limit cycle proposed in this article, as well as the premise that only<br /> systems with a limit cycle can be synchronized. And secondly, we point out that the quantum<br /> features observed in the article “Synchronization and Entanglement Generation” [2], in which the<br /> same authors submit the spontaneous synchronization between two coupled spins s = 1 systems,<br /> can be replicated with a pair of spin s = 1/2 systems, emphasizing the similarity between both systems.<br /> We analyse the evolution of the spin observables using different measures of synchronization.</p> <p>[1] Roulet and Bruder, Phys. Rev. Lett., 121, 053601 (2018)<br /> [2] Roulet and Bruder, Phys. Rev. Lett., 121, 063601 (2018)</p> <p>Jury: Rosa López, Miguel C. Soriano, Gian Luca Giorgi</p> <p>Advisors: Gian Luca Giorgi, Roberta Zambrini</p> <p>Zoom: <a href="https://uibuniversitat.zoom.us/j/88073638068">https://uibuniversitat.zoom.us/j/88073638068</a></p>; Url event:https://ifisc.uib-csic.es/en/events/seminars/spontaneous-synchronization-in-...