Viktoriia Kornich, Hristo S. Barakov, and Yuli V. Nazarov
Phys. Rev. Research 1, 033004 – Published 2 October 2019
ABSTRACT: 
The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multiterminal superconducting nanostructures. We evaluate the energy splitting of degenerate Andreev bound states that overlap in a superconducting lead, and find that the splitting is reduced in comparison with their energy by a small factor of a square root of the dimensionless resistance of the overlap region in the normal state. This permits quantum manipulation of the quasiparticles in these states. We provide a simple scheme of such manipulation.