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We consider response function and spin evolution in spin-orbit coupled coldatomic gases in a synthetic gauge magnetic field influencing solely the orbitalmotion of atoms. We demonstrate that various regimes of spin-orbit couplingstrength, magnetic field, and disorder can be treated within a single approachbased on the representation of atomic motion in terms of auxiliary collectiveclassical trajectories. Our approach allows for a unified description offermionic and bosonic gases.

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