  We provide a theoretical framework to describe the quantum many-body dynamics
of Andreev states in Josephson junctions with spin-orbit coupling and a
magnetic Zeeman field. In such cases, employing a doubled Nambu spinor
description is technically advantageous but one then has to be careful to avoid
double-counting problems. By deriving the Lindblad master equation in the
socalled excitation picture, we show that a physically consistent many-body
theory free from doublecounting problems follows. We apply our formalism to a
study of dynamical parity stabilization of the Andreev sector at intermediate
times after an initial microwave pulse, in particular addressing the combined
effects of spin-orbit coupling and Zeeman field.
