Stationary states of boundary driven quantum systems: some exact results

Eric A. Carlen, David a. Huse, Joel L. Lebowitz

We study finite-dimensional open quantum systems whose density matrix evolves via a Lindbladian, $\dot{\ddot{I}}=-i[H,\ddot{I}]+\mathcal{D}\ddot{I}$. Here $H$ is the Hamiltonian of the isolated syste…