Josephson Current Flowing in Cyclically Coupled Bose-Einstein Condensates

Abstract

The Josephson effect in cyclically coupled Bose-Einstein condensates is studied theoretically. We analyze the simultaneous Gross-Pitaevskii equations with coupling terms between adjacent condensates. Depending on the initial relative phases between condensates, Josephson current flows cyclically to make a quantized vortex. Reducing the coupling between condensates changes the motion from periodic to chaotic, thus suppressing the cyclic current. The relation to the Kibble-Zurek mechanism is discussed.

4 pages, 3 figure, to be published in Journal of Physical Society of Japan

References in corpus (2)

• Theory of Bose-Einstein condensation in trapped gases
• Defect formation in inhomogeneous 2-nd order phase transition: theory and experiment

Cited by in corpus (3)

• Loop current states and their stability in small fractal lattices of Bose-Einstein condensates
• Chaos onset in large rings of Bose-Einstein condensates
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system