A direct algebraic proof for the non-positivity of Liouvillian spectral values and controlling the dissipative gap of systems with normal Lindblad operators

Yikang Zhang, Thomas Barthel

Markovian open quantum systems are described by the Lindblad master equation ${\partial }_t\rho =\mathcal{L}(\rho )$, where $\rho$ denotes the system's density operator and $\mathcal{L}$ the Lio…