Non-Hermitian Josephson Junctions and Supercurrent

This paper explores the electronic transport in a specific type of Josephson junction, focusing on the impact of non-Hermitian Hamiltonians. The key contribution is the identification of a novel current component arising from the imaginary part of Andreev levels, particularly relevant in the context of broken time-reversal symmetry. The paper proposes an experimental protocol to detect this effect, offering a way to probe non-Hermiticity in open junctions beyond the usual focus on exceptional points.