2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130291Quantum Brownian motion in ratchet potentials is investigated by means of an approach based on a duality relation. This relation links the long-time dynamics in a tilted ratchet potential in the presence of dissipation with the one in a driven dissipative tight-binding model. The application to quantum ratchet yields a simple expression for the ratchet current in terms of the transition rates in the tight-binding system.Chemical Physics (in press)Statistical Mechanicstext