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The evolution of two-component cold atoms on a ring with quasispin-orbit (qSO) coupling and spin-flip has been studied analytically (for arbitrary particle number $ N $ without interaction) and numerically (for a few-body system with interaction). Counter-propagating and oscillating persistent spin-currents have been found. The regularity governing the period and amplitude of oscillation has been clarified. When the strengths for the qSO coupling and spin-flip are fixed, the frequency of oscillation can be effectively tuned by the Raman detuning, while the amplitude can be tuned by either changing the initial status and/or the Raman detuning. When the initial numbers of atoms of the two-components $N_{1}$ and $N_{2}$ are close to each other, the oscillation will be seriously suppressed. The condition for maximizing the amplitude of oscillation is given.
The existence of spin-currents in absence of any driving external fields is commonly considered an exotic phenomenon appearing only in quantum materials, such as topological insulators. We demonstrate instead that equilibrium spin currents are a rath
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