Pumping-Restriction Theorem for Stochastic Networks

TL;DR

The paper introduces the pumping restriction theorem (PRT), a universal exact result that constrains currents in periodically driven stochastic networks, unifying previous findings and enabling exploration of non-adiabatic effects.

Contribution

It formulates the PRT, providing a nonperturbative, universal framework to analyze restrictions on stochastic pump effects in driven dissipative systems.

Findings

PRT unifies known restrictions on stochastic currents

Provides a nonperturbative approach to non-adiabatic driving effects

Establishes universal constraints applicable to broad classes of systems

Abstract

We formulate an exact result, which we refer to as the pumping restriction theorem (PRT). It imposes strong restrictions on the currents generated by periodic driving in a generic dissipative system with detailed balance. Our theorem unifies previously known results with the new ones and provides a universal nonperturbative approach to explore further restrictions on the stochastic pump effect in non-adiabatically driven systems.