Spin evolution of cold atomic gases in SU(2)$\otimes $U(1) fields

TL;DR

This paper presents a unified theoretical framework for analyzing spin evolution and response functions in cold atomic gases with spin-orbit coupling under synthetic magnetic fields, applicable to both fermionic and bosonic systems.

Contribution

It introduces a novel approach using auxiliary classical trajectories to describe spin dynamics across different regimes of coupling, magnetic field, and disorder.

Findings

Unified description of fermionic and bosonic gases.

Applicable to various regimes of spin-orbit coupling.

Provides insights into spin response functions.

Abstract

We consider response function and spin evolution in spin-orbit coupled cold atomic gases in a synthetic gauge magnetic field influencing solely the orbital motion of atoms. We demonstrate that various regimes of spin-orbit coupling strength, magnetic field, and disorder can be treated within a single approach based on the representation of atomic motion in terms of auxiliary collective classical trajectories. Our approach allows for a unified description of fermionic and bosonic gases.