Model for a Josephson junction array coupled to a resonant cavity

1999/09/30 by J. Kent Harbaugh, D. Stroud · 3 citations
Engineering · Physics and Astronomy · #Nonlinear Photonic Systems #Optical Network Technologies #Quantum optics and atomic interactions #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.61.14765

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

arxiv created 2000/01/04 · openalex publication_date 2000/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 N², suggestive of coherent emission. These features remain even when the junction parameters have some random variation from junction to junction, as expected in a real array. Both of these features agree with recent experiments by Barbara and co-workers.

Citations

• Possible new effects in superconductive tunnelling

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