Winding up by a quench: Insulator to superfluid phase transition in a ring of BECs

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We study phase transition from the Mott insulator to superfluid in a periodic optical lattice. Kibble-Zurek mechanism predicts buildup of winding number through random walk of BEC phases, with the step size scaling as a the third root of transition rate. We confirm this and demonstrate that this scaling accounts for the net winding number after the transition.
minor typo corrections; version to appear in Phys.Rev.Lett

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