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Flux-based three-dimensional electrodynamic modeling approach to superconducting circuits and materials

Dung N. Pham1, Wentao Fan2, Michael G. Scheer2, and Hakan E. Türeci1

  • 1Department of Electrical and Computer Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA

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Phys. Rev. A 107, 053704 – Published 5 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053704

Abstract

Modeling the behavior of superconducting electronic circuits containing Josephson junctions is crucial for the design of superconducting information processors and devices. In this paper, we introduce DEC-QED, a computational approach for modeling the electrodynamics of superconducting electronic circuits containing Josephson junctions in arbitrary three-dimensional electromagnetic environments. DEC-QED captures the nonlinear response and induced currents in BCS superconductors and accurately captures phenomena such as the Meissner effect, flux quantization, and Josephson effects. Using a spatial coarse-graining formulation based on discrete exterior calculus (DEC), DEC-QED can accurately simulate transient and long-time dynamics in superconductors. The expression of the entire electrodynamic problem in terms of the gauge-invariant flux field and charges makes the resulting classical field theory suitable for second quantization.

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Outline

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Phys. Rev. A 107, 053704– Published 5 May, 2023
  • Received 27 December 2022
  • Revised 12 April 2023
  • Accepted 24 April 2023
Article part of CHORUS
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