pyTDGL: Time-dependent Ginzburg-Landau in Python
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Time-dependent Ginzburg-Landau (TDGL) theory is a phenomenological model for the dynamics of superconducting systems. Due to its simplicity in comparison to microscopic theories and its effectiveness in describing the observed properties of the superconducting state, TDGL is widely used to interpret or explain measurements of superconducting devices. Here, we introduce pyTDGL, a Python package that solves a generalized TDGL model for superconducting thin films of arbitrary geometry, enabling simulations of vortex and phase dynamics in mesoscopic superconducting devices. pyTDGL can model the nonlinear magnetic response and dynamics of multiply connected films, films with multiple current bias terminals, and films with a spatially inhomogeneous critical temperature. We demonstrate these capabilities by modeling quasi-equilibrium vortex distributions in irregularly shaped films, and the dynamics and current-voltage-field characteristics of nanoscale superconducting quantum interference devices (nanoSQUIDs).
含时金兹堡-朗道（Time-dependent Ginzburg-Landau, TDGL）理论是描述超导系统动力学特性的唯象模型。相较于微观理论，该理论不仅形式简洁，还能精准刻画超导态的观测特性，因此被广泛应用于超导器件的测量结果解读与物理机理阐释。本文介绍了pyTDGL——一款可求解任意几何结构超导薄膜广义TDGL模型的Python工具包，能够实现介观超导器件内涡旋与相位动力学的模拟。该工具包支持建模多连通薄膜、带多电流偏置端子的薄膜以及空间临界温度非均匀分布薄膜的非线性磁响应与动力学行为。我们通过对不规则形状薄膜中的准平衡涡旋分布，以及纳米超导量子干涉器件（nanoSQUIDs）的动力学特性与电流-电压-磁场特征进行建模，验证了该工具包的上述功能。
