2007/02/28 by Konstantin Y. Bliokh, K. Yu. Bliokh · 8 citations
Chemistry · Physics and Astronomy · #Adiabatic process #Adiabatic quantum computation #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #Classical mechanics #Condensed matter physics #Deflection (physics) #Geometric phase #Magnetic field #Physics #Quantum #Quantum chaos and dynamical systems #Quantum computer #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #cond-mat.other #quant-ph
paper · pdf · doi:10.1016/j.physleta.2007.07.036
published in Physics Letters A 372(3), 204-209 (Elsevier BV) · 10 pages, 1 figure, to appear in Phys. Lett. A
arxiv created 2007/07/22 · openalex publication_date 2007/07/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.