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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. https://doi.org/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. https://doi.org/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 = {Tue Sep 18 00:00:00 EDT 2018},
month = {Tue Sep 18 00:00:00 EDT 2018}
}

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Free Publicly Available Full Text
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Cited by: 22 works
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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.

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Works referencing / citing this record:

A general characterization method for nonlinearities in superconducting circuits
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Understanding the Saturation Power of Josephson Parametric Amplifiers Made from SQUID Arrays
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Fabrication and Characterization of Aluminum SQUID Transmission Lines
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Nondegenerate Parametric Amplifiers Based on Dispersion-Engineered Josephson-Junction Arrays
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Superconductor-insulator transition in Josephson junction chains by quantum Monte Carlo calculations
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Internally resonant wave energy exchange in weakly nonlinear lattices and metamaterials
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Understanding the saturation power of Josephson Parametric Amplifiers made from SQUIDs arrays
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Josephson Array Mode Parametric Amplifier
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