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

doi:10.1007/s11467-021-1095-4

Frontiers of Physics

2022, Vol. 17

Issue (1): 13201 https://doi.org/10.1007/s11467-021-1095-4

本期目录

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

Zi Wang¹, Luqin Wang¹, Jiangzhi Chen¹, Chen Wang²(

), Jie Ren¹(

)

¹. Center for Phononics and Thermal Energy Science, China-EU Joint Lab on Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
². Department of Physics, Zhejiang Normal University, Jinhua 321004, China

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Abstract：

The second law of thermodynamics dictates that heat simultaneously flows from the hot to cold bath on average. To go beyond this picture, a range of works in the past decade show that, other than the average dynamical heat flux determined by instantaneous thermal bias, a non-trivial flux contribution of intrinsic geometric origin is generally present in temporally driven systems. This additional heat flux provides a free lunch for the pumped heat and could even drive heat against the bias. We review here the emergence and development of this so called “geometric heat pump”, originating from the topological geometric phase effect, and cover various quantum and classical transport systems with different internal dynamics. The generalization from the adiabatic to the non-adiabatic regime and the application of control theory are also discussed. Then, we briefly discuss the symmetry restriction on the heat pump effect, such as duality, supersymmetry and time-reversal symmetry. Finally, we examine open problems concerning the geometric heat pump process and elucidate their prospective significance in devising thermal machines with high performance.

Key words： geometric phase heat pump stochastic heat transport non-adiabatic control

收稿日期: 2020-11-18 出版日期: 2021-08-03

Corresponding Author(s): Chen Wang,Jie Ren

引用本文:

. [J]. Frontiers of Physics, 2022, 17(1): 13201.
Zi Wang, Luqin Wang, Jiangzhi Chen, Chen Wang, Jie Ren. Geometric heat pump: Controlling thermal transport with time-dependent modulations. Front. Phys. , 2022, 17(1): 13201.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-021-1095-4
https://academic.hep.com.cn/fop/CN/Y2022/V17/I1/13201

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