Optimal control of dissipation and work fluctuations for rapidly driven systems

Abstract To achieve efficient and reliable control of microscopic systems one should look for driving protocols that mitigate both the average dissipation stochastic fluctuations in work. This is especially important fast regimes which system driven far out equilibrium, potentially creating large amounts unwanted entropy production. Here we characterise these optimal rapidly classical quantum prove they consist two discontinuous jumps full set variables. These can be tuned to interpolate between processes with either minimal or fluctuations, some situations allow simultaneous minimisation. We illustrate our general results closed systems, bit erasure a dissipative Ising chain close phase transition.