Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations

• URL: http://arxiv.org/abs/2106.14687v1
• Date: Fri, 25 Jun 2021 14:24:42 GMT
• Title: Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations
• Authors: Zi Wang, Luqin Wang, Jiangzhi Chen, Chen Wang, and Jie Ren
• Abstract summary: We review the emergence and development of this so called geometric heat pump'' The generalization from the adiabatic to the non-adiabatic regime and the application of control theory are also discussed.
• Score: 21.544545839943446
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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.

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