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Updated: May 22, 2026

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Published on: August 17, 2017
Spin-orbital phase synchronization in the magnetic field-driven electron dynamics in a double-well potential
L Chotorlishvili1, Z Toklikishvili, A Komnik
1Institut für Physik, Martin-Luther Universität Halle-Wittenberg, Heinrich-Damerow-Strasse 4, 06120 Halle, Germany. levan.chotorlishvili@physik.uni-augsburg.de
Abstract:
We study the dynamics of an electron confined in a one-dimensional double-well potential in the presence of driving external magnetic fields. The orbital motion of the electron is coupled to the spin dynamics by spin-orbit interaction of the Dresselhaus type. We derive an effective time-dependent model Hamiltonian for the orbital motion of the electron and obtain a condition for synchronization of the orbital and the spin dynamics. We find an analytical expression for the Arnold 'tongue' and propose an experimental scheme for realizing the proposed synchronization.
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