2017
DOI: 10.1088/1367-2630/aa723a
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Spin resonance under topological driving fields

Abstract: We study the dynamics of a localized spin-1/2 driven by a time-periodic magnetic field that undergoes a topological transition. Despite the strongly non-adiabatic effects dominating the spin dynamics, we find that the field's topology appears clearly imprinted in the Floquet spin states through an effective Berry phase emerging in the quasienergy. This has remarkable consequences on the spin resonance condition suggesting a whole new class of experiments to spot topological transitions in the dynamics of spins… Show more

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Cited by 14 publications
(36 citation statements)
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References 31 publications
(69 reference statements)
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“…It has been suggested that this effective phase of geometrical origin could be studied by either interferometric means in ring systems or analyzing resonances in spin or other two-level quantum systems. [33][34][35] Here we show that signatures of a transition sharing some of the features associated to the effective geometric phase may be observed in the anisotropy oscillations considered in this work.…”
Section: Imprints Of Geometric Phase Switchingsupporting
confidence: 62%
“…It has been suggested that this effective phase of geometrical origin could be studied by either interferometric means in ring systems or analyzing resonances in spin or other two-level quantum systems. [33][34][35] Here we show that signatures of a transition sharing some of the features associated to the effective geometric phase may be observed in the anisotropy oscillations considered in this work.…”
Section: Imprints Of Geometric Phase Switchingsupporting
confidence: 62%
“…Finally, we notice that the scope of our approach is best understood in the semiclassical limit of large momentum (where a dynamical decoupling emerges between charge and spin dynamics) by mapping the spin carrier problem into a time-dependent one with localized spins. 16…”
Section: Discussionmentioning
confidence: 99%
“…It is worthy of mention that, in the limit 1 considered here, the spin dynamics of the carriers maps into a time-dependent problem with localized spins subject to an external driving (by, basically, identifying the polar angle ϕ with the time t in the ring's case). 16 This eventually leads to the finding of a scalar analogue of the geometric vector potential encoding the AA geometric phases accumulated by the spin due to the driving. 16 Moreover, it has been shown that a parity transition in the effective Berry phase also exists to a great approximation in this case.…”
Section: B Case Study 2: Topological Transitions In 1d Ringsmentioning
confidence: 99%
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