Dynamics of Quantum Phase Transition in an Array of Josephson Junctions

Details Dynamics of Quantum Phase Transition in an Array of Josephson Junctions Dynamics of Quantum Phase Transition in an Array of Josephson Junctions

2001-10-30

arxiv.org/abs/cond-mat/0110627v2

Physics

Condensed Matter

4 pages in RevTex, 3 .eps figures; 2 references added; accepted for publication in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.88.167001

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 $\tau_Q$ induces finite quantum fluctuations of the current around the loop proportional to $\tau_Q^{-1/6}$. This scaling could be experimentally verified with in array of weakly coupled Bose-Einstein condensates or superconducting grains.

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