Normal and anomalous solitons in the theory of dynamical Cooper pairing
Normal and anomalous solitons in the theory of dynamical Cooper pairing
We obtain multisoliton solutions of the time-dependent Bogoliubov--de Gennes equations or, equivalently, Gorkov equations that describe the dynamics of a fermionic condensate in the dissipationless regime. There are two kinds of solitons---normal and anomalous. At large times, normal multisolitons asymptote to unstable stationary states of the BCS Hamiltonian with zero …