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COMPARATIVE ANALYSIS OF THE NUMERICAL METHODS FOR INVESTIGATING MAGNETIC MOMENT PRECESSION IN φ₀-JOSEPHSON JUNCTIONS

P. Atanasova, E. Dieva

The Josephson junction, a fascinating element in superconductivity, is a cornerstone of quantum computer hardware. Analyzing this object requires solving differential equations, often beyond the scope of analytical solutions. This article focuses on a model of the φ₀-Josephson junction, which describes the magnetic moment precession. A critical aspect of this investigation is addressing system stiffness, a common challenge in numerical simulations. Various numerical methods are rigorously compared to evaluate their efficiency. The study highlights the key contributions to identifying effective numerical methods for accurately solving stiff systems of the junction model and demonstrating their applicability to previously inaccessible parameter regimes. This paper presents the first use of certain methods for this model, achieving higher accuracy and effectively managing stiffness.

JTAM, Vol. 55 No. 3 (2025) pp. 263-277