Networks of nonlinear superconducting transmission line resonators

M. Leib*, F. Deppe, A. Marx, R. Gross, Michael J. Hartmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

65 Citations (Scopus)


We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum shows anticrossings between the plasma mode of the shunted junction and the odd resonator modes. Notably, we find that the combined device can inherit the complete nonlinearity of the junction, allowing for a description as a harmonic oscillator with a Kerr nonlinearity. Using a dc SQUID instead of a single junction, the nonlinearity can be tuned between 10 kHz and 4MHz while maintaining resonance frequencies of a few gigahertz for realistic device parameters. An array of such nonlinear resonators can be considered a scalable superconducting quantum simulator for a Bose-Hubbard Hamiltonian. The device would be capable of accessing the strongly correlated regime and be particularly well suited for investigating quantum many-body dynamics of interacting particles under the influence of drive and dissipation.

Original languageEnglish
Article number075024
JournalNew Journal of Physics
Publication statusPublished - 27 Jul 2012

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Networks of nonlinear superconducting transmission line resonators'. Together they form a unique fingerprint.

Cite this