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We investigate the current flow of microcavity polariton condensates loadedinto concentric ring-shaped potentials. The tunneling of the condensatesbetween different potential rings results in different phase-locked states,depending on the separation of the potential rings. As a consequence, thecondensate currents in different rings can flow either in the same or oppositedirection depending on the specific configuration of the ring-shapedpotentials. In two concentric standard ring-shaped potentials, the condensatesalways circulate in the same direction (co-flowing current) and the vorticesformed in the two rings share the same topological charge because of theazimuthally uniform distribution of their phase difference. In this case,increasing the number of the potential rings enables the excitation ofBessel-like solutions. If the two ring-shaped potentials are engineered into aneye shape with the inner ring being standard ring-shaped and the outer ringbeing elliptically ring-shaped, the phase differences of the condensates in thetwo rings along the major and minor axes of the ellipse can be opposite, whichgives rise to a counter-flowing condensate currents.

Structuring co- and counter-flowing currents of polariton condensates in concentric ring-shaped potentials