Unification and new extensions of the no-pumping theorems of stochastic pumps

From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the no-pumping theorem (NPT). The letter presents a unified treatment of all the adaptations of NPT known so far, and further extends it to systems with many species of interacting particles.