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On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases

K. Yu. Bliokh
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Abstract

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 first- and second-order adiabatic corrections in the case of in-plane variations of the magnetic field. While the first-order correction relates to the 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.

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K. Yu. Bliokh. 2007-07-22. On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases. https://doi.org/10.1016/j.physleta.2007.07.036

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