Artículo
Effective geometric phases and topological transitions in SO(3) and SU(2) rotations
Autor/es | Saarikoski, Henri
Baltanás, José P. Vázquez Lozano, Juan Enrique Nitta, Junsaku Frustaglia, Diego César |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada II |
Fecha de publicación | 2016-03-24 |
Fecha de depósito | 2024-01-26 |
Publicado en |
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Resumen | We address the development of geometric phases in classical and quantum magnetic moments (spin-1/2) precessing in an external magnetic field. We show that nonadiabatic dynamics lead to a topological phase transition ... We address the development of geometric phases in classical and quantum magnetic moments (spin-1/2) precessing in an external magnetic field. We show that nonadiabatic dynamics lead to a topological phase transition determined by a change in the driving field topology. The transition is associated with an effective geometric phase which is identified from the paths of the magnetic moments in a spherical geometry. The topological transition presents close similarities between SO(3) and SU(2) cases but features differences in, e.g. the adiabatic limits of the geometric phases, being 2π and π in the classical and the quantum case, respectively. We discuss possible experiments where the effective geometric phase would be observable. |
Agencias financiadoras | Japan Society for the Promotion of Science Ministerio de Economia, Industria y Competitividad (MINECO). España |
Identificador del proyecto | 26390014
15H05699 FIS2014-53385-P |
Cita | Saarikoski, H., Baltanás, J.P., Vázquez Lozano, J.E., Nitta, J. y Frustaglia, D.C. (2016). Effective geometric phases and topological transitions in SO(3) and SU(2) rotations. Journal of Physics: Condensed Matter, 28 (166002). https://doi.org/10.1088/0953-8984/28/16/166002. |
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