Analytical view on topological defects of superconducting order parameter in various topologies of nanowires with focus on quantum detectors and Josephson junctions

The analysis of superconducting nanowires placed in different electromagnetic environments is presented in the framework of Ginzburg-Landau model. First domain of application of conducted analysis is noninvasive superconducting detectors of charged particles and robust field induced Josephson junctions. Robust field induced Josephson junctions (rFIJJs) made by polarization of superconducting nanostructures by external magnetic fields are presented in one dimensional model. The analytical methodology of modeling of rFIJJs in one dimensional cases is introduced and possible implementations are pointed by reference to the principle of minimization of magnetic field energy that is preimposing the space dependence of the screening currents. The presented schemes have potential in description both classical and quantum computers with use of topological defects of superconducting order parameter and artificial evolution. Scheme of testing new topologies and working parameters of circuits is given what shall imply enhancement of already known circuit schemes. Furthermore concept of noninvasive superconducting detectors is given as sensing device for moving charged particles as in accelerator beam or in nano-accelerator beam. Obtained results are refereeing to functionalization of superconducting nanowires topology with reference to various programmable biasing magnetic fields that incorporates the concept of programmable superconducting matter. The presented conceptual scheme can also be used for designing the experiments, where Bose-Einstein condensate is being biased with various class of topologies of magnetic fields coming from three dimensional meta-lattice of superconducting nanowires.