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

• URL: http://arxiv.org/abs/2212.12775v3
• Date: Sun, 16 Apr 2023 22:18:23 GMT
• Title: DEC-QED: A flux-based 3D electrodynamic modeling approach to superconducting circuits and materials
• Authors: Dung N. Pham, Wentao Fan, Michael G. Scheer, Hakan E. T\"ureci
• Abstract summary: We introduce DEC-QED, a computational approach for modeling the electrodynamics of superconducting electronic circuits. DEC-QED captures the non-linear response and induced currents in BCS superconductors.
• Score: 8.334918207379173
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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