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arXiv · 2212.12775

DEC-QED: A flux-based 3D electrodynamic modeling approach to superconducting circuits and materials

Dung N. Pham·Wentao Fan·Michael G. Scheer·Hakan E. Türeci
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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 non-linear 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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Dung N. Pham, Wentao Fan, Michael G. Scheer, Hakan E. Türeci. 2022-12-24. DEC-QED: A flux-based 3D electrodynamic modeling approach to superconducting circuits and materials. https://doi.org/10.1103/physreva.107.053704

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