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

TL;DR

DEC-QED is a novel computational method that models 3D superconducting circuits with Josephson junctions, capturing complex electrodynamic phenomena and enabling accurate simulations of superconducting device behavior.

Contribution

It introduces DEC-QED, a flux-based 3D modeling approach using Discrete Exterior Calculus for superconducting circuits, incorporating non-linear responses and phenomena like flux quantization.

Findings

Successfully simulates transient and long-term superconducting dynamics.

Accurately models Meissner effect, flux quantization, and Josephson effects.

Provides a gauge-invariant flux field formulation for potential quantization.

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.