On spin evolution in a time-dependent magnetic field: Post-adiabatic corrections and geometric phases
نویسنده
چکیده
We examine both quantum and classical versions of the problem of spin evolution in a slowly varying magnetic field. Main attention is given to the firstand second-order adiabatic corrections in the case of in-plane variations of the magnetic field. While the first-order correction relates to the usual adiabatic Berry phase and Coriolis-type lateral deflection of the spin, the second-order correction is shown to be responsible for the next-order geometric phase and in-plain deflection. A comparison between different approaches, including the exact (non-adiabatic) geometric phase, is presented. © 2007 Elsevier B.V. All rights reserved. PACS: 03.65.Vf; 45.20.Dc; 02.40.Yy
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