Optimized finite-time information machine

Abstract

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an optimized model for which the feedback scheme consists of a protocol depending on the whole history of measurements. Depending on the precision of the measurement and on the period length the optimized model displays a phase transition to a phase where measurements are judged as non-reliable. We obtain the critical line exactly and show that the optimized model leads to more work extraction in comparison to the memory-less model, with the gain parameter being larger in the region where the frequency of non-reliable measurements is higher. We also demonstrate that the model has two second law inequalities, with the extracted work being bounded by the change of the entropy of the system and by the mutual information.

16 pages, 5 figures

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Cited by in corpus (8)

• Stochastic thermodynamics with information reservoirs
• Sensory capacity: an information theoretical measure of the performance of a sensor
• Minimal dissipation in processes far from equilibrium
• The Second Laws for an Information driven Current through a Spin Valve
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• From a feedback-controlled demon to an information ratchet in a double quantum dot
• When memory pays: Discord in hidden Markov models
• Bit reset protocols that obey activity-constrained speed limits do not minimize work for a given speed