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We theoretically investigate the ground-state properties and quantum dynamicsof a pair of adjacent ring-shaped Bose-Einstein condensates that are coupledvia tunneling. This device, which is the analogue of a symmetricsuperconducting quantum interference device, is the simplest version of what weterm an Atomic-Phase Interference Device (APHID). The two-ring APHID is shownto be sensitive to rotation.Comment: 8 page

Atomic-phase interference devices based on ring-shaped Bose-Einstein condensates: Two-ring case