Open quantum systems with Markovian dynamics can be described by the Lindblad equation. The quantity governing is superoperator. We apply random-matrix theory to this superoperator elucidate its spectral properties. distribution of eigenvalues and correlations neighboring are obtained for cases purely unitary dynamics, pure dissipation, physically realistic combination dissipative dynamics.

This paper is devoted to the study of large-time asymptotics small solutions matrix nonlinear Schrödinger equation with a potential on half-line and general selfadjoint boundary condition, line point interaction, in whole supercritical regime. We prove that are scattering asymptotically time, t→±∞, behave as associated linear identically zero. The can be either generic or exceptional. Our appro...