Spin-precession in an adiabatically rotating electric field

Abstract

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.

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Cited by in corpus (8)

• Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
• Control of many electron states in semiconductor quantum dots by non-Abelian vector potentials
• Coriolis force, geometric phase, and spin-electric coupling in semiconductors
• Geometric origin of Eliott relation
• Pumping in quantum dots and non-Abelian matrix Berry phases
• Spin-orbit pumping
• Coupling of electron rotation with spin in semiconductors
• Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot