Summary of the project
Our project explores the field of non-Hermitian physics, with a focus on superconductivity in fermionic systems. The goal is to develop a general theory of non-Hermitian superconductivity and to investigate the effects of impurities in non-Hermitian superconductors. By treating superconductors as open quantum systems and using Lindblad equations, we aim to obtain the Hamiltonians of non-Hermitian superconductors and understand their dynamics in the presence of dissipation, Coulomb interactions, and electron-phonon coupling.
In addition, the project will contribute to quantum technologies by proposing the simulation of non-Hermitian systems in circuit quantum electrodynamics. In particular, the project seeks to realize, manipulate, and measure multi-level superconducting qubits for the implementation of higher-order exceptional points.
The project has the potential to advance research in non-Hermitian systems, provide insights into the behavior of impurity-induced states, and contribute to the development of quantum technologies that harness dissipation as a resource.