Resonant generation of a p-wave Cooper pair in a non-Hermitian Kitaev chain at the exceptional point

This is the authors' abstract. We don't add key points for this paper.

We investigate a non-Hermitian extension of a Kitaev chain by considering imaginary p-wave pairing amplitudes. The exact solution shows that the phase diagram consists of two phases with real and complex Bogoliubov--de Gennes spectra, associated with the PT-symmetry breaking, which is separated by a hyperbolic exceptional line. The exceptional points (EPs) correspond to a specific Cooper pair state (1+cₖ^c_-k^)|0 with movable k when the parameters vary along the exceptional line. The non-Hermiticity around EP supports resonant generation of such a pair state from the vacuum state |0 of fermions via the critical dynamic process. In addition, we propose a scheme to generate a superconducting state through a dynamic method.