Model for a Josephson junction array coupled to a resonant cavity

Details Model for a Josephson junction array coupled to a resonant cavity Model for a Josephson junction array coupled to a resonant cavity

1999-09-27

arxiv.org/abs/cond-mat/9909380v2

Physics

Condensed Matter

Superconductivity

7 pages, 5 figures, RevTex, Postscript Revised mean field theory to include disorder

Scientific paper

10.1103/PhysRevB.61.14765

We describe a simple Hamiltonian for an underdamped Josephson array coupled to a single photon mode in a resonant cavity. Using a Hartree-like mean-field theory, we show that, for any given strength of coupling between the photon field and the Josephson junctions, there is a transition from incoherence to coherence as a function of N, the number of Josephson junctions in the array. Above that value of N, the energy in the photon field is proportional to N^2, indicative of coherent emission. Both of these features agree with recent experiments by Barbara et al. The experimentally observed voltage steps may require an explicit solution of the dynamical equations.

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