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 tau(Q) induces finite quantum fluctuations of the current around the loop proportional to tau(-1/6)(Q). This scaling could be experimentally verified with an array of weakly coupled Bose-Einstein condensates or superconducting grains.

arXiv:cond-mat/0110627Physical Review LettersApr 2, 200257 citations

Floating phase in a dissipative Josephson junction array

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arXiv:cond-mat/0407308Physical Review BAug 16, 200518 citations

APS

Quantum Phase transition in a 3-D Josephson junction arrays

Jorge V. José, T. K. Kopeć

Published Mar 1, 2000• 0 citations

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Floating phase in a dissipative Josephson junction array

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We show that dissipative Josephson junction arrays, an extended system, have an unusual ``floating'' metal phase in which the states of local $(0+1)$ -dimensional elements (single junctions) can slide past each other despite arbitrary range spatial couplings among them. The zero-temperature metal-to-superconductor quantum phase transition is controlled in any dimension by a locus of critical points fixed only by the local lattice topology. Our theory can be tested by measuring $I\text{\ensuremath{-}}V$ characteristics. This may be the simplest and most natural example of a floating phase.We show that dissipative Josephson junction arrays, an extended system, have an unusual ``floating'' metal phase in which the states of local $(0+1)$-dimensional elements (single junctions) can slide past each other despite arbitrary range spatial couplings among them. The zero-temperature metal-to-superconductor quantum phase transition is controlled in any dimension by a locus of critical points fixed only by the local lattice topology. Our theory can be tested by measuring $I\text{\ensuremath{-}}V$ characteristics. This may be the simplest and most natural example of a floating phase.

arXiv:cond-mat/0407308Physical Review BAug 16, 200518 citations

We show that dissipative Josephson junction arrays, an extended system, have an unusual ``floating'' metal phase in which the states of local

(0+1)

-dimensional elements (single junctions) can slide past each other despite arbitrary range spatial couplings among them. The zero-temperature metal-to-superconductor quantum phase transition is controlled in any dimension by a locus of critical points fixed only by the local lattice topology. Our theory can be tested by measuring $I\text{\ensuremath{-}}V$ characteristics. This may be the simplest and most natural example of a floating phase.