Spontaneous synchronization in spin systems

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dc.contributor Zambrini, Roberta
dc.contributor Giorgi, Gian Luca
dc.contributor.author Rodrigo Bort, Lucía
dc.date 2021
dc.date.accessioned 2022-04-27T10:12:16Z
dc.date.available 2022-04-27T10:12:16Z
dc.date.issued 2021-10-13
dc.identifier.uri http://hdl.handle.net/11201/158857
dc.description.abstract [eng] This Master Thesis is focused on the study of the fundamental properties that a system must possess to be able to show synchronization in the quantum regime. In the article “Synchronizing the Smallest Possible System” [1] it was claimed that quantum two-level systems are not a good candidate, as they lack a limit cycle and cannot be seen as self-sustained oscillators, therefore the smallest system to be a three-level system. Our intention is to raise objections to this idea using two main arguments. First, we start questioning the definition of the limit cycle proposed in this article, as well as the premise that only systems with a limit cycle can be synchronized. And secondly, we point out that the quantum features observed in the article “Synchronization and Entanglement Generation” [2], in which the same authors submit the spontaneous synchronization between two coupled spins s = 1 systems, can be replicated with a pair of spin s = 1 2 systems, emphasizing the similarity between both systems. After this, in order to verify that the measure Srel(φ), proposed in the article “Synchronization and Entanglement Generation”, is actually entailing the synchronization between the pair of spins, we analyse the evolution of the spin observables using an alternative measure of synchronization, the time correlation coefficient. This review suggests that the measure Srel(φ) is not related to the synchronization between the interacting spins. We also question the relationship between Srel(φ) and the entanglement in the steady state, characterized by the negativity of the bipartite system. ca
dc.format application/pdf
dc.language.iso eng ca
dc.publisher Universitat de les Illes Balears
dc.rights all rights reserved
dc.rights info:eu-repo/semantics/openAccess
dc.subject 53 - Física ca
dc.subject.other Synchronization ca
dc.subject.other Open quantum systems ca
dc.subject.other Two-level systems ca
dc.title Spontaneous synchronization in spin systems ca
dc.type info:eu-repo/semantics/masterThesis ca
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2022-02-01T07:24:58Z

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