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

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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Cited by in corpus (8)

• Quantum circuits with multiterminal Josephson-Andreev junctions
• A Review of Design Concerns in Superconducting Quantum Circuits
• Negative electrohydrostatic pressure between superconducting bodies
• Mesoscopic theory of the Josephson junction
• Long-time soliton dynamics via a coarse-grained space-time method
• Model Order Reduction for Open Quantum Systems Based on Measurement-adapted Time-coarse Graining
• Improving the accuracy of circuit quantization using the electromagnetic properties of superconductors
• Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits