Geometrical Formulation of Adiabatic Pumping as a Heat Engine

Abstract

We investigate a heat engine under an adiabatic (Thouless) pumping process. In this process, the extracted work and lower bound on dissipated availability are characterized by a vector potential and a Riemannian metric tensor, respectively. We derive a trade-off relation between the power and effective efficiency. We also explicitly calculate the trade-off relation as well as the power and effective efficiency for a spin-boson model coupled to two reservoirs.

arXiv comment9 pages, 7 figures

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• Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
• Geometric energy transport and refrigeration with driven quantum dots
• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems
• Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
• Asymptotic expansion of the solution of the master equation and its application to the speed limit
• Demon driven by geometric phase
• Analysis of entropy production in finitely slow processes between nonequilibrium steady states
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• Pumping current in a non-Markovian $N$-state model
• Geometric Bounds on the Power of Adiabatic Thermal Machines