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Title: Model for a Josephson junction array coupled to a resonant cavity

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 N{sup 2}, 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. (c) 2000 The American Physical Society.

Authors:
 [1];  [1]
  1. Department of Physics, Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210 (United States)
Publication Date:
OSTI Identifier:
20216581
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 21; Other Information: PBD: 1 Jun 2000; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; JOSEPHSON JUNCTIONS; CAVITY RESONATORS; HAMILTONIANS; THEORETICAL DATA; MEAN-FIELD THEORY

Citation Formats

Harbaugh, J. Kent, and Stroud, D. Model for a Josephson junction array coupled to a resonant cavity. United States: N. p., 2000. Web. doi:10.1103/PhysRevB.61.14765.
Harbaugh, J. Kent, & Stroud, D. Model for a Josephson junction array coupled to a resonant cavity. United States. doi:10.1103/PhysRevB.61.14765.
Harbaugh, J. Kent, and Stroud, D. Thu . "Model for a Josephson junction array coupled to a resonant cavity". United States. doi:10.1103/PhysRevB.61.14765.
@article{osti_20216581,
title = {Model for a Josephson junction array coupled to a resonant cavity},
author = {Harbaugh, J. Kent and Stroud, D.},
abstractNote = {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{sup 2}, 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. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevB.61.14765},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 21,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}