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, $\dot{\rho }=-i[H,\rho ]+\mathcal{D}\rho$. Here $H$ is the Hamiltonian of the isolated system a…