Abstract
When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multiobjective optimization of efficiency and work fluctuations in thermal machines operating close to equilibrium in either the classical or quantum regime. Our method utilizes techniques from thermodynamic geometry, whereby we match optimal solutions to protocols parametrized by their thermodynamic length. We characterize the optimal protocols for continuous-variable Gaussian machines, which form a crucial class in the study of thermodynamics for microscopic systems.
Highlights
Designing optimal protocols for heat-to-work conversion below the nanoscale remains an ongoing challenge in the fields of stochastic and quantum thermodynamics [1,2,3]
We develop a general method for performing multiobjective optimization of efficiency and work fluctuations in thermal machines operating close to equilibrium in either the classical or quantum regime
Our method utilizes techniques from thermodynamic geometry, whereby we match optimal solutions to protocols parametrized by their thermodynamic length
Summary
When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. A general method for optimizing the efficiencies of machines operating close to equilibrium was recently proposed by Brandner and Saito [20] This method, applicable to both classical and quantum periodic heat engines, relies on expressing the engine’s entropy production in terms of a metric over the Riemann manifold of equilibrium states of the working system. Pareto optimization has not been analyzed in the context of periodic heat engines operating between different temperatures In this situation at least two figures of merit are thermodynamic efficiency versus the resulting work fluctuations, whose optimal protocols are not expected to coincide for both classical and quantum systems. We show that such protocols can be found by constructing a new form of
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