On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases
arXiv:quant-ph/0702119 · doi:10.1016/j.physleta.2007.07.036
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.
10 pages, 1 figure, to appear in Phys. Lett. A
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- Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
- Wannier-Stark states in double-periodic lattices I: one-dimensional lattices
- Quantum Lie systems and integrability conditions
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- Appearance of Gauge Fields and Forces beyond the adiabatic approximation