Objectives
1. Developing a general theory of non-Hermitian superconductivity starting from the open quantum mechanics framework.
2. Applying the theory to solve the problem of magnetic impurities in the non-Hermitian superconductors.
3. Investigating the potential of non-Hermitian superconducting circuits for quantum processing applications.
The estimated results:
1. Obtaining a BCS theory for non-Hermitian superconductors, and an Eliashberg theory to account for electron-phonon coupling.
2. Obtaining spectrum and density of states due to single and multiple magnetic impurities in non-Hermitian superconductors.
3. Determine the role of exceptional points in the functioning of non-Hermitian superconducting circuits.