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 ques-
tioning 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.
We analyse the evolution of the spin observables using different measures of synchronization.
[1] Roulet and Bruder, Phys. Rev. Lett., 121, 053601 (2018)
[2] Roulet and Bruder, Phys. Rev. Lett., 121, 063601 (2018)
Jury: Rosa López, Miguel C. Soriano, Gian Luca Giorgi
Advisors: Gian Luca Giorgi, Roberta Zambrini
Zoom: https://uibuniversitat.zoom.us/j/88073638068
