Kerr nonlinearity in a superconducting Josephson metamaterial

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.

doi:10.1103/PhysRevB.98.094516

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:

Krupko, Yu. ^[1]; Nguyen, V. D. ^[2]; Weißl, T. ^[3]; Dumur, É. ^[4]; Puertas, J. ^[1]; Dassonneville, R. ^[1]; Naud, C. ^[1]; Hekking, F. W. J. ^[2]; Basko, D. M. ^[2]; Buisson, O. ^[1]; Roch, N. ^[1]; Hasch-Guichard, W. ^[1]

Univ. Grenoble Alpes, Grenoble (France)
Univ. Grenoble Alpes and CNRS, Grenoble (France)
Univ. Grenoble Alpes, Grenoble (France); Royal Institute of Technology (KTH), Stockholm (Sweden)
Univ. Grenoble Alpes, Grenoble (France); Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: 2018-09-18

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.

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                    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.  https://doi.org/10.1103/PhysRevB.98.094516

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                    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.  https://doi.org/10.1103/PhysRevB.98.094516.  https://www.osti.gov/servlets/purl/1485126.

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@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}

}

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https://doi.org/10.1103/PhysRevB.98.094516

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Cited by: 4 works

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Figures / Tables:

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.

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Winkel, Patrick; Takmakov, Ivan; Rieger, Dennis
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Title: Kerr nonlinearity in a superconducting Josephson metamaterial

Abstract

Citation Formats

Figures / Tables:

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

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

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

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

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

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

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

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

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

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

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

Strongly Interacting Photons in a Nonlinear Cavity journal, August 1997

Progress in superconducting metamaterials journal, May 2014

Propagating plasma mode in thin superconducting filaments journal, July 1985

Superconducting metamaterials and qubits conference, May 2015

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

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

Amplification and squeezing of quantum noise with a tunable Josephson metamaterial text, January 2008

Measurement of the effect of quantum phase-slips in a Josephson Junction chain text, January 2009

Quantum phase-slips in Josephson junction rings text, January 2012

Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon text, January 2012

Generation of non-classical photon states in superconducting quantum metamaterials text, January 2013

Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems text, January 2013

Progress in Superconducting Metamaterials text, January 2014

Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial text, January 2014

Bloch band dynamics of a Josephson junction in an inductive environment text, January 2014

Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light text, January 2015

Bistability in a Mesoscopic Josephson Junction Array Resonator text, January 2017

Microwave photonics with superconducting quantum circuits text, January 2017

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

A general characterization method for nonlinearities in superconducting circuits journal, May 2019

Understanding the Saturation Power of Josephson Parametric Amplifiers Made from SQUID Arrays journal, March 2019

Fabrication and Characterization of Aluminum SQUID Transmission Lines journal, December 2019

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Nondegenerate Parametric Amplifiers Based on Dispersion-Engineered Josephson-Junction Arrays journal, February 2020

Superconductor-insulator transition in Josephson junction chains by quantum Monte Carlo calculations journal, January 2020

Internally resonant wave energy exchange in weakly nonlinear lattices and metamaterials journal, September 2019

Understanding the saturation power of Josephson Parametric Amplifiers made from SQUIDs arrays text, January 2018

Josephson Array Mode Parametric Amplifier text, January 2019

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

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

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

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

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

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

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

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

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

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

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

Strongly Interacting Photons in a Nonlinear Cavity
journal, August 1997

Progress in superconducting metamaterials
journal, May 2014

Propagating plasma mode in thin superconducting filaments
journal, July 1985

Superconducting metamaterials and qubits
conference, May 2015

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

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

Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
text, January 2008

Measurement of the effect of quantum phase-slips in a Josephson Junction chain
text, January 2009

Quantum phase-slips in Josephson junction rings
text, January 2012

Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
text, January 2012

Generation of non-classical photon states in superconducting quantum metamaterials
text, January 2013

Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems
text, January 2013

Progress in Superconducting Metamaterials
text, January 2014

Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial
text, January 2014

Bloch band dynamics of a Josephson junction in an inductive environment
text, January 2014

Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
text, January 2015

Bistability in a Mesoscopic Josephson Junction Array Resonator
text, January 2017

Microwave photonics with superconducting quantum circuits
text, January 2017

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

A general characterization method for nonlinearities in superconducting circuits
journal, May 2019

Understanding the Saturation Power of Josephson Parametric Amplifiers Made from SQUID Arrays
journal, March 2019

Fabrication and Characterization of Aluminum SQUID Transmission Lines
journal, December 2019

Josephson Array-Mode Parametric Amplifier
journal, February 2020

Nondegenerate Parametric Amplifiers Based on Dispersion-Engineered Josephson-Junction Arrays
journal, February 2020

Superconductor-insulator transition in Josephson junction chains by quantum Monte Carlo calculations
journal, January 2020

Internally resonant wave energy exchange in weakly nonlinear lattices and metamaterials
journal, September 2019

Understanding the saturation power of Josephson Parametric Amplifiers made from SQUIDs arrays
text, January 2018

Josephson Array Mode Parametric Amplifier
text, January 2019