skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Kerr nonlinearity in a superconducting Josephson metamaterial

Abstract

Here, we present a detailed experimental and theoretical analysis of the dispersion and nonlinear Kerr frequency shifts of plasma modes in a one-dimensional Josephson junction chain containing 500 superconducting quantum interfence devices in the regime of weak nonlinearity. The measured low-power dispersion curve agrees perfectly with the theoretical model if we take into account the Kerr renormalization of the bare frequencies and the long-range nature of the island charge screening by a remote ground plane. We measured the self- and cross-Kerr shifts for the frequencies of the eight lowest modes in the chain. We compare the measured Kerr coefficients with theory and find good agreement.

Authors:
 [1];  [2];  [3];  [4];  [1];  [1];  [1];  [2];  [2];  [1];  [1];  [1]
  1. Univ. Grenoble Alpes, Grenoble (France)
  2. Univ. Grenoble Alpes and CNRS, Grenoble (France)
  3. Univ. Grenoble Alpes, Grenoble (France); Royal Institute of Technology (KTH), Stockholm (Sweden)
  4. Univ. Grenoble Alpes, Grenoble (France); Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
European Research Council (ERC); USDOE
OSTI Identifier:
1485126
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum

Citation Formats

Krupko, Yu., Nguyen, V. D., Weißl, T., Dumur, É., Puertas, J., Dassonneville, R., Naud, C., Hekking, F. W. J., Basko, D. M., Buisson, O., Roch, N., and Hasch-Guichard, W. Kerr nonlinearity in a superconducting Josephson metamaterial. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.094516.
Krupko, Yu., Nguyen, V. D., Weißl, T., Dumur, É., Puertas, J., Dassonneville, R., Naud, C., Hekking, F. W. J., Basko, D. M., Buisson, O., Roch, N., & Hasch-Guichard, W. Kerr nonlinearity in a superconducting Josephson metamaterial. United States. doi:10.1103/PhysRevB.98.094516.
Krupko, Yu., Nguyen, V. D., Weißl, T., Dumur, É., Puertas, J., Dassonneville, R., Naud, C., Hekking, F. W. J., Basko, D. M., Buisson, O., Roch, N., and Hasch-Guichard, W. Tue . "Kerr nonlinearity in a superconducting Josephson metamaterial". United States. doi:10.1103/PhysRevB.98.094516. https://www.osti.gov/servlets/purl/1485126.
@article{osti_1485126,
title = {Kerr nonlinearity in a superconducting Josephson metamaterial},
author = {Krupko, Yu. and Nguyen, V. D. and Weißl, T. and Dumur, É. and Puertas, J. and Dassonneville, R. and Naud, C. and Hekking, F. W. J. and Basko, D. M. and Buisson, O. and Roch, N. and Hasch-Guichard, W.},
abstractNote = {Here, we present a detailed experimental and theoretical analysis of the dispersion and nonlinear Kerr frequency shifts of plasma modes in a one-dimensional Josephson junction chain containing 500 superconducting quantum interfence devices in the regime of weak nonlinearity. The measured low-power dispersion curve agrees perfectly with the theoretical model if we take into account the Kerr renormalization of the bare frequencies and the long-range nature of the island charge screening by a remote ground plane. We measured the self- and cross-Kerr shifts for the frequencies of the eight lowest modes in the chain. We compare the measured Kerr coefficients with theory and find good agreement.},
doi = {10.1103/PhysRevB.98.094516},
journal = {Physical Review B},
number = 9,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: (a) SEM image of one part of the 500-SQUID chain. (b) Optical image showing the SQUID chain connected at both ends to a microstrip transmission line. (c) Equivalent electrical scheme of the chain and transmission line for the local screening model.

Save / Share:

Works referenced in this record:

Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
journal, October 2008

  • Castellanos-Beltran, M. A.; Irwin, K. D.; Hilton, G. C.
  • Nature Physics, Vol. 4, Issue 12
  • DOI: 10.1038/nphys1090

Stabilizing spin coherence through environmental entanglement in strongly dissipative quantum systems
journal, March 2014


Junction fabrication by shadow evaporation without a suspended bridge
journal, July 2011


Invited Review Article: The Josephson bifurcation amplifier
journal, November 2009

  • Vijay, R.; Devoret, M. H.; Siddiqi, I.
  • Review of Scientific Instruments, Vol. 80, Issue 11
  • DOI: 10.1063/1.3224703

Plasmonic and metamaterial cloaking: physical mechanisms and potentials
journal, August 2008


Traveling wave parametric amplifier with Josephson junctions using minimal resonator phase matching
journal, June 2015

  • White, T. C.; Mutus, J. Y.; Hoi, I. -C.
  • Applied Physics Letters, Vol. 106, Issue 24
  • DOI: 10.1063/1.4922348

Length-Scale Dependence of the Superconductor-to-Insulator Quantum Phase Transition in One Dimension
journal, July 1998


Quantum phase slips in Josephson junction rings
journal, May 2013


Planar negative refractive index media using periodically L-C loaded transmission lines
journal, December 2002

  • Eleftheriades, G. V.; Iyer, A. K.; Kremer, P. C.
  • IEEE Transactions on Microwave Theory and Techniques, Vol. 50, Issue 12
  • DOI: 10.1109/TMTT.2002.805197

Onset of superconductivity in ultrathin granular metal films
journal, July 1989


Energetic and spectral properties of triple photon downconversion in a phase-matched KTiOPO_4 crystal
journal, January 2012

  • Dot, Audrey; Borne, Adrien; Boulanger, Benoît
  • Optics Letters, Vol. 37, Issue 12
  • DOI: 10.1364/OL.37.002334

Spatial and temporal distribution of phase slips in Josephson junction chains
journal, September 2017


Bloch band dynamics of a Josephson junction in an inductive environment
journal, January 2015


Generation of non-classical photon states in superconducting quantum metamaterials
journal, June 2013


Quantum phase transitions and vortex dynamics in superconducting networks
journal, December 2001


Phase-charge duality in Josephson junction circuits: Role of inertia and effect of microwave irradiation
journal, February 2010


A near-quantum-limited Josephson traveling-wave parametric amplifier
journal, September 2015


Josephson-junction-embedded transmission-line resonators: From Kerr medium to in-line transmon
journal, July 2012


Measurement of the effect of quantum phase slips in a Josephson junction chain
journal, June 2010

  • Pop, I. M.; Protopopov, I.; Lecocq, F.
  • Nature Physics, Vol. 6, Issue 8
  • DOI: 10.1038/nphys1697

Many-body quantum electrodynamics networks: Non-equilibrium condensed matter physics with light
journal, October 2016


Kerr coefficients of plasma resonances in Josephson junction chains
journal, September 2015


Quantum fluctuations in chains of Josephson junctions
journal, August 1984


Insulating Josephson Junction Chains as Pinned Luttinger Liquids
journal, October 2017


One-dimensional Josephson junction arrays: Lifting the Coulomb blockade by depinning
journal, July 2015


Microwave Characterization of Josephson Junction Arrays: Implementing a Low Loss Superinductance
journal, September 2012


Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
journal, January 2013


The physics and applications of superconducting metamaterials
journal, November 2010


Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial
journal, November 2013

  • Altimiras, Carles; Parlavecchio, Olivier; Joyez, Philippe
  • Applied Physics Letters, Vol. 103, Issue 21
  • DOI: 10.1063/1.4832074

Evidence for Macroscopic Quantum Tunneling in One-Dimensional Superconductors
journal, October 1988


Coherent suppression of electromagnetic dissipation due to superconducting quasiparticles
journal, April 2014

  • Pop, Ioan M.; Geerlings, Kurtis; Catelani, Gianluigi
  • Nature, Vol. 508, Issue 7496
  • DOI: 10.1038/nature13017

A low‐noise series‐array Josephson junction parametric amplifier
journal, November 1996

  • Yurke, B.; Roukes, M. L.; Movshovich, R.
  • Applied Physics Letters, Vol. 69, Issue 20
  • DOI: 10.1063/1.116845

Strongly Interacting Photons in a Nonlinear Cavity
journal, August 1997


Progress in superconducting metamaterials
journal, May 2014

  • Jung, Philipp; Ustinov, Alexey V.; Anlage, Steven M.
  • Superconductor Science and Technology, Vol. 27, Issue 7
  • DOI: 10.1088/0953-2048/27/7/073001

Propagating plasma mode in thin superconducting filaments
journal, July 1985


Black-Box Superconducting Circuit Quantization
journal, June 2012


Emission Pattern of High-Energy Pions: A New Probe for the Early Phase of Heavy-Ion Collisions
journal, July 2000


Bistability in a mesoscopic Josephson junction array resonator
journal, January 2018


Microwave photonics with superconducting quantum circuits
journal, November 2017


On-chip quantum simulation with superconducting circuits
journal, April 2012

  • Houck, Andrew A.; Türeci, Hakan E.; Koch, Jens
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2251

Josephson Metamaterial with a Widely Tunable Positive or Negative Kerr Constant
journal, November 2017