Semiclassical theory of spin-orbit interactions using spin coherent states

Area of Science:

• Quantum Mechanics
• Condensed Matter Physics
• Theoretical Physics

Background:

• Spin-orbit interactions are crucial in quantum systems.
• Previous semiclassical theories faced challenges with mode-conversion.
• Accurate theoretical models are needed for quantum devices.

Purpose of the Study:

• To develop a robust semiclassical theory for systems with spin-orbit interactions.
• To accurately model the dynamics of coupled orbital and spin degrees of freedom.
• To provide a reliable method for calculating the density of states in quantum systems.

Main Methods:

• Formulation of a semiclassical theory using spin coherent states.
• Application of path integral in an extended phase space.
• Calculation of Gutzwiller's trace formula ingredients.

Main Results:

• Developed a semiclassical theory for spin-orbit interactions.
• Achieved satisfactory agreement with quantum-mechanical calculations for a 2D quantum dot.
• Successfully resolved the mode-conversion problem encountered in prior approaches.

Conclusions:

• The new semiclassical theory accurately describes systems with spin-orbit interactions.
• This approach offers a viable alternative to full quantum calculations for certain systems.
• The overcome mode-conversion issue enhances the applicability of semiclassical methods.