Dynamics of Interacting Fermions in Spin-Dependent Potentials

Area of Science:

• Atomic, Molecular, and Optical Physics
• Quantum Many-Body Systems
• Condensed Matter Theory

Background:

• Dilute trapped Fermi gases exhibit complex spin dynamics under weak interactions.
• Observed phenomena include global demagnetization, spin waves, segregation, and self-rephasing.

Purpose of the Study:

• Develop a theoretical framework to study spin transport dynamics in fermionic gases.
• Investigate the interplay between spin, motion, Fermi statistics, and interactions.
• Explain the emergence of collective spin phenomena.

Main Methods:

• Projection of the system's state onto lattice spin models in single-particle mode space.
• Analysis of spin-dependent changes in trapping potentials.
• Characterization of long-ranged spin model couplings.

Main Results:

• The framework successfully models collective phenomena like global spreading of quantum correlations.
• The approach demonstrates good agreement with existing experimental measurements.
• Identified the crucial role of long-ranged couplings in collective behavior.

Conclusions:

• The developed framework provides insights into spin dynamics in Fermi gases.
• It explains the origin of collective spin effects from fundamental principles.
• Suggests avenues for future experimental investigations and theoretical developments.