A polaron theory of quantum thermal transistor in nonequilibrium three-level systems

doi:10.1088/1674-1056/ab973b

Abstract

We investigate the quantum thermal transistor effect in nonequilibrium three-level systems by applying the polaron-transformed Redfield equation combined with full counting statistics. The steady state heat currents are obtained via this unified approach over a wide region of system-bath coupling, and can be analytically reduced to the Redfield and nonequilibrium noninteracting blip approximation results in the weak and strong coupling limits, respectively. A giant heat amplification phenomenon emerges in the strong system-bath coupling limit, where transitions mediated by the middle thermal bath are found to be crucial to unravel the underlying mechanism. Moreover, the heat amplification is also exhibited with moderate coupling strength, which can be properly explained within the polaron framework.

Keywords: quantum transport open systems nonequilibrium and irreversible thermodynamics phonons or vibrational states in low-dimensional structures and nanoscale materials

Received: 26 March 2020
Revised: 26 May 2020
Accepted manuscript online:

PACS:	05.60.Gg	(Quantum transport)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	63.22.-m	(Phonons or vibrational states in low-dimensional structures and nanoscale materials)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11704093 and 11705008) and Beijing Institute of Technology Research Fund Program for Young Scholars, China.

Corresponding Authors: Chen Wang, Da-Zhi Xu
E-mail: wangchenyifang@gmail.com;dzxu@bit.edu.cn

Cite this article:

Chen Wang(王晨), Da-Zhi Xu(徐大智) A polaron theory of quantum thermal transistor in nonequilibrium three-level systems 2020 Chin. Phys. B 29 080504

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A polaron theory of quantum thermal transistor in nonequilibrium three-level systems

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