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Stabilization Time of Josephson Tunnel Junctions

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Abstract

The stabilization time is from the initial state to the steady state. The resistive-capacitive-inductive shunted junction (RCLSJ) model was used to study the nonlinear dynamical behavior of Josephson tunnel junction (JJ). The stabilization time of JJs is calculated by the information of voltage waveform. With the certain irradiation, four-dimensional image of stabilization time of JJs is calculated in the three-dimensional parameter space composed of the junction capacitance C, shunt inductance L, and the bias current I. The average of stabilization time under different conditions was applied to thr RCLSJ model and the superconducting quantum interference device (SQUID) model. In this paper, the average of stabilization time at different initial conditions, irradiation frequencies, and intensity was simulated. The average of stabilization time was nearly unvaried with initial value of normalized voltage and increased with the intensity of irradiation. The average of stabilization time fluctuates with the frequency of irradiation. Similar results are obtained in SQUID model. The average of stabilization time in SQUID model is less than that in JJ.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grants 61101018, 51002081, 61171028, 61176119, and 61471208; by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant 20110031120033; and by the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. College of Electronic Information and Optical Engineering, Nankai University, Tianjin, 300071, China

    X. Liu, L. Ji, W. Xie, L. Hu, L. J. Ma, X. J. Zhao, M. He & X. Zhang

  2. Beijing Institute of Radio Measurement, Beijing, 100854, China

    P. Wang

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  1. X. Liu
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  2. L. Ji
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  8. M. He
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Correspondence to X. Zhang.

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Liu, X., Ji, L., Xie, W. et al. Stabilization Time of Josephson Tunnel Junctions. J Supercond Nov Magn 28, 2017–2023 (2015). https://doi.org/10.1007/s10948-015-3026-5

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  • DOI: https://doi.org/10.1007/s10948-015-3026-5

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