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

Dzung N. PhamWentao FanMichael G. ScheerHakan E. Tureci
Dec 2022
摘要
Modeling the behavior of superconducting electronic circuits containingJosephson junctions is crucial for the design of superconducting informationprocessors and devices. In this paper, we introduce DEC-QED, a computationalapproach for modeling the electrodynamics of superconducting electroniccircuits containing Josephson junctions in arbitrary three-dimensionalelectromagnetic environments. DEC-QED captures the non-linear response andinduced currents of BCS superconductors and accurately captures phenomena suchas the Meissner effect, flux quantization and Josephson effects. Using afinite-element construction based on Discrete Exterior Calculus (DEC), DEC-QEDcan accurately simulate transient and long-time dynamics in superconductors.The expression of the entire electrodynamic problem in terms of thegauge-invariant flux field and charges makes the resulting classical fieldtheory suitable for second quantization.
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