用于分析超导约瑟夫森结电路和量子相位滑移结电路的电磁通量分布模型
An Electromagnetic-Flux-Distribution Model for the Analyses of Superconducting Josephson Junction Circuits and Quantum Phase-Slip Junction Circuits
AI总结：
本文提出电磁通量分布模型，统一超导与非超导电路分析，揭示约瑟夫森结电路与QPS结电路的对偶关系及其磁通/电通量分布本质。
摘要：
约瑟夫森结和量子相位滑移（QPS）结是超导电子学引入的两种量子电路元件，用于构建各种混合电路。约瑟夫森结推动了超导量子干涉器件（SQUID）和单磁通量子（SFQ）数字电路的发展；作为约瑟夫森结的对偶元件，QPS结被用于设计对偶于约瑟夫森结电路的新型器件。为了弥合超导电路与非超导电路之间的差距，本文提出了一种电磁通量分布模型，以统一超导与非超导电路分析。该模型利用传统电学变量重新定义了电路定律和电路元件的功能；提供了统一的电路方程，从电场和磁场的视角描述电路的工作原理；还推导出约瑟夫森结电路与QPS结电路之间对偶原理的数学表达式。该电磁通量分布模型的应用在一个约瑟夫森结电路及其对偶QPS结电路的分析中得到了展示。结果表明，约瑟夫森结电路是磁通量分布系统，而QPS结电路是电通量分布系统，它们分别由约瑟夫森效应和相位滑移效应调制。
英文摘要：
Josephson junctions and the quantum phase-slip (QPS) junctions are two quantum circuit elements introduced by superconducting electronics to create various hybrid circuits. Josephson junctions bring the developments of superconducting quantum interference devices (SQUIDs) and single-flux quantum (SFQ) digital circuits; as the dual element of Josephson junctions, QPS junctions are used to design the new devices dual to Josephson junction circuits. In order to bridge the gap between superconducting and non-superconducting circuits, this article presents an electromagnetic-flux-distribution model to unify the superconducting and non-superconducting circuit analyses. This model redefines the circuit laws and functions of circuit elements using the conventional electric variables; it provides the unified circuit equations to depict the working principles of circuits viewed from electric and magnetic fields; it also derives the mathematical expression of duality principles between Josephson junction and QPS Junction circuits. The application of this electromagnetic-flux-distribution model is demonstrated in the analyses of a Josephson junction circuit and its dual QPS junction circuit. It shows that Josephson junction circuits are the magnetic-flux-distribution systems, while QPS junction circuits are the electric-flux-distribution systems, they are modulated by the Josephson effect and the phase-slip effect.
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