Geometrical formulation of adiabatic pumping as a heat engine

Hino, Yuki; Hayakawa, Hisao

doi:10.1103/physrevresearch.3.013187

Cited by 32 publications

(25 citation statements)

References 57 publications

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“…which is consistent with the energy efficiency of steadystate thermoelectric transport [92,93]. While the input energy is positive, i.e., W I > 0, the free energy efficiency of the heat engine is obtained as [57]…”

Section: Verifying the Validity Of The Tur Relationshipsupporting

confidence: 77%

“…(ii) While the driving energy is negative, i.e., W I < 0, the free energy efficiency of the heat engine is [57,58],…”

Section: B the Bounds On Electric Work And Energy Efficiency In Perio...mentioning

confidence: 99%

“…To operate the device as a thermoelectric engine, we assume T L < T R and ∆µ > 0. The produced electronic work after a period of driving cycle of the thermoelectric heat engine is [57,84]…”

Section: B Geometric Berry-phase-induced Particle and Energy Currentsmentioning

confidence: 99%

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Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Lu,

Wang,

Peng

et al. 2022

Preprint

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Thermodynamic uncertainty relation, quantifying a trade-off among average current, the associated fluctuation (precision), and entropy production (cost), has been formulated in nonequilibrium steady state and various stochastic systems. Herein, we study the thermodynamic uncertainty relation in generic thermoelectric heat engines under a periodic control protocol, by uncovering the underlying Berry-phase-like contribution. We show that our thermodynamic uncertainty relation breaks the seminal steady-state results, originating from the non-vanishing geometric effect. Furthermore, by deriving the consequent trade-off relation binding efficiency, power, and constancy, we prove that the periodically driven thermoelectric heat engines can generally outperform the steadystate analogies. The general bounds are illustrated by an analytically solvable two-terminal single quantum dot heat engine under the periodic modulation. Our work provides a geometric framework in bounding and optimizing a wide range of periodically driven thermoelectric thermal machines.

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Section: Verifying the Validity Of The Tur Relationshipsupporting

confidence: 77%

“…(ii) While the driving energy is negative, i.e., W I < 0, the free energy efficiency of the heat engine is [57,58],…”

Section: B the Bounds On Electric Work And Energy Efficiency In Perio...mentioning

confidence: 99%

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Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Lu,

Wang,

Peng

et al. 2022

Preprint

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“…用在研究慢驱动下热机工作分析. Giri和Goswami [19] 分析了三端口热机中几何相的贡献, 通过驱动高温和低温端热库的温度, 可以向光学腔内单一模式中泵浦光子. 特别地, 他们通过引入两个接近简并的能级, 探究了量子相干性对于泵浦的影响, 相对于动力学相对应的功的行为, 两个近简并能级间的相位差可以更明显地调制几何相部分的功.…”

Section: 除了实现定向泵浦几何相的概念也可以被应unclassified

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Wang¹,

Ren²

2021

Acta Physica Sinica

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“…Subsequently, the geometric heat pump effect raises a plethora of research on its manifestation in nano-sized open quantum [33][34][35] and classical coupled oscillators [36]. Also, recently the connections with the entropy production [37], heat engines [38][39][40] and nonadiabatic control methods [41,42] are established. These works emphasize the central status of the geometric heat pump [43].…”

mentioning

confidence: 99%

Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion

Wang¹,

Chen²,

Liu³

et al. 2021

Preprint

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The concept of geometry works as an overarching framework underlying a wide range of transport phenomena. Particularly, the geometric phase effect in classical and quantum heat pump has been attracting much attention in microscopic systems. Here, we formulate theoretically the geometric heat pump effect in macroscopic driven diffusive systems. Upon modulation protocols, the nontrivial geometric curvature in the parameter space universally induces an additional pumped heat, beyond the constraint of hot-to-cold flowing. Furthermore, we set up a minimum experiment and indeed observe a non-vanishing directional heat flow across the driven system, despite keeping zero thermal bias between two time-dependent thermal reservoirs at every instant. We verify that in analogy to the geometric phase effect, the geometric pumped heat during each driving cycle is independent of driving periods in the adiabatic limit and coincides with theoretical predictions, thus validating its geometric origin. These results about geometric heat pump effect could have potential implications for designing and implementing nonreciprocal and topological thermal meta-devices under spatiotemporal modulations.

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Geometrical formulation of adiabatic pumping as a heat engine

Cited by 32 publications

References 57 publications

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion

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