2004/02/11 by Yuri A. Serebrennikov, Yuri Serebrennikov
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Adiabatic invariant #Adiabatic process #Classical mechanics #Electric field #Hamiltonian (control theory) #Mathematics #Molecular Junctions and Nanostructures #Physics #Precession #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.70.064422
published as Phys. Rev. B, v.70, 064422 (2004)
arxiv created 2004/02/11 · openalex publication_date 2004/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Due to spin-orbit coupling, the adiabatic perturbation of an electron's orbital motion induced by a revolving external electric field lead to the electron spin-precession. The obtained results describe both transverse and longitudinal dynamics of an effective spin, for conical and figure-8 trajectories of a driving electric field, and elucidate the link between the quantum-mechanical, geometrical, and classical pictures of spin rotation. Within the limit of adiabatic approximation the derived formulas are valid regardless of whether eigenvectors of the total Hamiltonian of the problem are explicitly available or not, and are convenient for approximate calculations. The main expression for the time evolution of the Bloch vector has pure geometric character and is independent of the physical context.