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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
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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 diabatically i.e. at a finite rate with a quench time $τ_Q$ induces finite quantum fluctuations of the current around the loop proportional to $τ_Q^{-1/6}$. This scaling could be experimentally verified with in array of weakly coupled Bose-Einstein condensates or superconducting grains.

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J. Dziarmaga, A. Smerzi, W. H. Zurek, A. R. Bishop. 2002-02-15. Dynamics of Quantum Phase Transition in an Array of Josephson Junctions. https://doi.org/10.1103/physrevlett.88.167001

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