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 and other two-level systems, from nuclear magnetic resonance to strongly-driven superconducting qubits.

Published version (revised), 7 pages, 5 figures, 3 technical appendices

References in corpus (7)

• Topological characterization of periodically-driven quantum systems
• Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
• Unpaired Floquet Majorana fermions without magnetic fields
• Designing Electron Spin Textures and Spin Interferometers by Shape Deformations
• Topological transitions in spin interferometers
• Topological phases in adiabatic and nonadiabatic driven systems
• Effective geometric phases and topological transitions in SO(3) and SU(2) rotations

Cited by in corpus (10)

• Geometric driving of two-level quantum systems
• Geometry-assisted topological transitions in spin interferometry
• Spin interferometry in anisotropic spin-orbit fields
• Geometric vector potentials from non-adiabatic spin dynamics
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• Spin-texture topology in curved circuits driven by spin-orbit interactions
• Longitudinal coupling between electrically driven spin-qubits and a resonator
• Effects of geometry on spin-orbit Kramers states in semiconducting nanorings
• Parallel spin transport and holonomy in non-Euclidean curved circuits on a spherical two-dimensional electron gas
• Floquet quantum multiparameter estimation with periodic-driving-induced topological phase transition