Hybrid Schrödinger-Ginzburg-Landau Approach in Study of Superconducting Integrated Structures

Explore the Hybrid Schrödinger-Ginzburg-Landau (Sch-GL) approach for studying superconducting integrated structures in this 33-minute conference talk from the HyperComplex Seminar 2023. Delve into the simulation of various superconducting lattices in 1, 2, and 3 dimensions, treated as lattices of superconducting atoms with preimposed symmetry. Discover how the mathematical similarity between Ginzburg-Landau (GL) and Schrödinger formalisms forms the basis of this hybrid approach. Learn about the relaxation algorithm that utilizes ground energy solutions of the Schrödinger equation as starting points for the GL relaxation method. Understand the process of incrementally increasing the nonlinear term in the GL equation to achieve stable solutions. Gain insights into the numerical results and methodology that form the simulation platform for studying superconducting integrated structures and modeling various superconducting devices. Explore the potential for modeling time-dependent geometry of superconducting structures using this approach.