The aim of the undergraduate research project is to investigate the non-equilibrium response of different superconductors for various quantum quench scenarios. At first, conventional superconductors should be investigated, in order to understand the general concepts.
Here the focus lies on time dependent quenches induced by light matter interaction, such as a short intense THz laser pulses.
The main goal of the project is the analysis of non-equilibrium Higgs oscillations in unconventional materials, such as d-wave or triplet superconductors. Especially research on the various parameters of the quench are required to obtain a deeper understanding and to make possible predictions to future experiments.
On the methodical site numerical as well as analytical tools can be used to describe the Higgs oscillations in superconductors. The basis for both is the Bardeen-Cooper-Schrieffer Hamiltonian of superconducting condensates. For analytical calculations the Anderson-Pseudo spin formalism is used in combination with a linear analysis based on an expansion of the Bloch equation for small perturbations. For numerical calculations the equations of motion for the time dependent Bogoliubov quasi-particle densities must be implemented and solved for different quantum quenches.
More information on joint experimental projects can be found here.