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Dynamics of Quantum Phase Transition in an Array of Josephson Junctions

J. Dziarmaga, A. Smerzi, W. H. Zurek, A. R. Bishop

DOI 10.1103/PhysRevLett.88.167001 · Physical Review Letters

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Abstract

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point at a finite rate with a quench time τQ induces finite quantum fluctuations of the current around the loop proportional to τQ−1/6. This scaling could be experimentally verified with an array of weakly coupled Bose-Einstein condensates or superconducting grains.

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