Geometric heat pump: Controlling thermal transport with time-dependent modulations

Wang, Zi; Wang, Luqin; Chen, Jiangzhi; Wang, Chen; Ren, Jie

doi:10.1007/s11467-021-1095-4

Cited by 41 publications

(21 citation statements)

References 77 publications

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“…随后, 几何相热流也在包含经典布朗系统 [17] , 自旋-玻色系统 [18,39] , 量子光力系统 [16] 等大量系统中得到了广泛研究. 特别地, 在自旋-玻色系统中, 研究人员发展运用了极化子变换的方法 [40] , 系统性探讨了系统-热库耦合从弱到强的变化对于几何相热流的影响 [18,41] .…”

Section: 然而上面的研究只探讨了粒子流的定向输unclassified

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Wang¹,

Ren²

2021

Acta Physica Sinica

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Section: 然而上面的研究只探讨了粒子流的定向输unclassified

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Wang¹,

Ren²

2021

Acta Physica Sinica

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“…Specifically, the geometric concepts are used in finite time thermodynamics [43,44], in which the thermodynamic length [45] bounds the engine power and efficiency. The Berry-phase-like effect provides an additional geometric contribution [46][47][48][49][50][51][52][53] to pump electric and heat currents against the thermodynamic bias. However, the intrinsic effects of geometric phase on TUR and the performance of thermal machines are largely overlooked in the previous studies.…”

Section: Introductionmentioning

confidence: 99%

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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“…These concepts are important, in particular, for quantum thermodynamics or thermodynamics for nanoscale machines [52][53][54]. The current status of the subject is presented in a recent review [55]. Thus, the geometrical concept is of fundamental importance in understanding and controlling nanoscale machines.…”

Section: Introductionmentioning

confidence: 99%

Geometrical Quantum Chemical Engine

Hayakawa¹,

Paasonen²,

Yoshii³

2021

Preprint

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We propose a chemical engine in an adiabatic (Thouless) pumping process for a quantum dot connected to external reservoirs under an isothermal condition. Thanks to the geometrical feature in this process, the entropy production is characterized by the geometric metric tensor which is connected to the Fisher information and Hessian of the density matrix in a nonequilibrium steady state. The existence of inequality between the thermodynamic length and entropy production is established. We also establish that the work done on this system characterized by a vector potential is equivalent to the thermodynamic flux. To characterize the chemical engine, we introduce effective efficiency as the relation between the work and entropy production. Through the theoretical analysis of the quantum master equation for the Anderson model of a quantum dot within the wide-band approximation, we illustrate the explicit values of the work, thermodynamic length, and effective efficiency of the engine as functions of the phase difference of the externally controlled chemical potentials.

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Geometric heat pump: Controlling thermal transport with time-dependent modulations

Cited by 41 publications

References 77 publications

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Geometrical Quantum Chemical Engine

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