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Time periodic perturbations of an electron system on a ring are examined. Forsmall frequencies periodic small amplitude perturbations give rise to side bandcurrents which in leading order are inversely proportional to the frequency.These side band currents compensate the current of the central band such thatto leading order no net pumped current is generated. In the non-adiabaticlimit, larger pump frequencies can lead to resonant excitations: as aconsequence a net pumped current arises. We illustrate our results for a onechannel ring with a quantum dot whose barriers are modulated parametrically.Comment: 8 pages, 5 figure

Hidden quantum pump effects in quantum coherent rings