Operationally accessible bounds on fluctuations and entropy production in periodically driven systems

Abstract

For periodically driven systems, we derive a family of inequalities that relate entropy production with experimentally accessible data for the mean, its dependence on driving frequency, and the variance of a large class of observables. With one of these relations, overall entropy production can be bounded by just observing the time spent in a set of states. Among further consequences, the thermodynamic efficiency both of isothermal cyclic engines like molecular motors under a periodic load and of cyclic heat engines can be bounded using experimental data without requiring knowledge of the specific interactions within the system. We illustrate these results for a driven three-level system and for a colloidal Stirling engine.

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• Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
• Quantum jump approach to microscopic heat engines
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Phase shift in periodically driven non-equilibrium systems: Its identification and a bound
• Geometric Bounds on the Power of Adiabatic Thermal Machines