Engineered swift equilibration on generic configuration spaces

Engineered swift equilibration (ESE) is a class of driving protocols that enforce an internal equilibrium distribution at all times during rapid state transformation of open, classical non-equilibrium systems. ESE protocols have previously been derived and experimentally realized for Brownian particles in simple, one-dimensional, time-varying trapping potentials. We extend the ESE framework to overdamped Brownian particles described by generic configuration spaces. We illustrate our results numerically for specific example systems not amenable to previous techniques. Our approach may be used to impose internal equilibrium dynamics in a wide variety of experimental settings.