Driven Liouville von Neumann Equation in Lindblad Form.

The Driven Liouville von Neumann approach [J. Chem. Theory Comput.

Sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment.

We find the necessary and sufficient conditions for the entropy rate of the system to be zero under any system-environment Hamiltonian interaction. We call the class of system-environment states that satisfy this condition lazy states. They are a generalization of classically correlated states defined by quantum discord, but based on projective measurements of any rank.

Time-dependent density functional theory for open quantum systems with unitary propagation.

We extend the Runge-Gross theorem for a very general class of open quantum systems under weak assumptions about the nature of the bath and its coupling to the system. We show that for Kohn-Sham (KS) time-dependent density functional theory, it is possible to rigorously include the effects of the environment within a bath functional in the KS potential. A Markovian bath functional inspired by the theory of nonlinear Schrödinger equations is suggested, which can be readily implemented in currently existing real-time codes.