Multimode Brownian oscillators: Exact solutions to heat transport

Xin-Hai Tong; Hong Gong; Yao Wang; Rui-Xue Xu; YiJing Yan

doi:10.1063/5.0157186

Multimode Brownian oscillators: Exact solutions to heat transport

J Chem Phys. 2023 Jul 14;159(2):024117. doi: 10.1063/5.0157186.

Authors

Xin-Hai Tong^{1

2}, Hong Gong¹, Yao Wang³, Rui-Xue Xu³, YiJing Yan³

Affiliations

¹ CAS Key Laboratory of Precision and Intelligent Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, China.
² School of Physics and Technology, Wuhan University, Wuhan, Hubei 430072, China.
³ Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026, China.

PMID: 37431917
DOI: 10.1063/5.0157186

Abstract

In this work, we investigate the multimode Brownian oscillators in nonequilibrium scenarios with multiple reservoirs at different temperatures. For this purpose, an algebraic method is proposed. This approach gives the exact time-local equation of motion for the reduced density operator, from which we can easily extract not only the reduced system but also hybrid bath dynamical information. The resulting steady-state heat current is found to be numerically consistent with another discrete imaginary-frequency method followed by Meir-Wingreen's formula. It is anticipated that the development in this work would constitute an indispensable component of nonequilibrium statistical mechanics for open quantum systems.