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Entropy 2016, 18(5), 186; doi:10.3390/e18050186

Quantum Thermodynamics in Strong Coupling: Heat Transport and Refrigeration

1,†
and
2,†,*
1
Afikim Science, 15148 Afikim, Israel
2
Institute of Chemistry, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
Both authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: Jay Lawrence
Received: 19 April 2016 / Revised: 10 May 2016 / Accepted: 12 May 2016 / Published: 16 May 2016
(This article belongs to the Special Issue Quantum Thermodynamics)
View Full-Text   |   Download PDF [984 KB, uploaded 16 May 2016]   |  

Abstract

The performance characteristics of a heat rectifier and a heat pump are studied in a non-Markovian framework. The device is constructed from a molecule connected to a hot and cold reservoir. The heat baths are modelled using the stochastic surrogate Hamiltonian method. The molecule is modelled by an asymmetric double-well potential. Each well is semi-locally connected to a heat bath composed of spins. The dynamics are driven by a combined system–bath Hamiltonian. The temperature of the baths is regulated by a secondary spin bath composed of identical spins in thermal equilibrium. A random swap operation exchange spins between the primary and secondary baths. The combined system is studied in various system–bath coupling strengths. In all cases, the average heat current always flows from the hot towards the cold bath in accordance with the second law of thermodynamics. The asymmetry of the double well generates a rectifying effect, meaning that when the left and right baths are exchanged the heat current follows the hot-to-cold direction. The heat current is larger when the high frequency is coupled to the hot bath. Adding an external driving field can reverse the transport direction. Such a refrigeration effect is modelled by a periodic driving field in resonance with the frequency difference of the two potential wells. A minimal driving amplitude is required to overcome the heat leak effect. In the strong driving regime the cooling power is non-monotonic with the system–bath coupling. View Full-Text
Keywords: quantum thermodynamics; quantum transport; quantum refrigerator; strong coupling; spin bath quantum thermodynamics; quantum transport; quantum refrigerator; strong coupling; spin bath
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Katz, G.; Kosloff, R. Quantum Thermodynamics in Strong Coupling: Heat Transport and Refrigeration. Entropy 2016, 18, 186.

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