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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
We explored electron dynamics in a double-well potential with magnetic fields. A synchronization condition between orbital and spin motion was derived, with an analytical Arnold tongue expression found.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Spintronics
Background:
- Electron dynamics in confined potentials are crucial for quantum technologies.
- Spin-orbit interaction, specifically Dresselhaus coupling, links electron orbital and spin motion.
- Controlling coupled spin-orbital dynamics is key for advanced spintronic devices.
Purpose of the Study:
- To investigate the synchronization dynamics between electron orbital motion and spin dynamics.
- To derive an effective model Hamiltonian for a driven double-well system.
- To find an analytical expression for the synchronization region (Arnold tongue).
Main Methods:
- Derivation of a time-dependent effective model Hamiltonian.
- Analysis of the coupled orbital and spin dynamics.
- Analytical calculation of the Arnold tongue for synchronization.
Main Results:
- A condition for the synchronization of orbital and spin dynamics was obtained.
- An analytical expression for the Arnold tongue was derived.
- An experimental scheme for achieving this synchronization was proposed.
Conclusions:
- Synchronization between electron orbital and spin dynamics is achievable in a driven double-well potential.
- The derived analytical Arnold tongue provides a roadmap for experimental realization.
- This work offers potential pathways for controlling quantum information using coupled spin-orbital motion.
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