Energy spread and current-current correlation in quantum systems
Yonghong Yan, Feng Jiang, and Hui Zhao
TL;DR
This paper establishes a direct relationship between energy spread and current-current correlation in quantum systems, enabling the study of thermal conductivity through energy distribution analysis, demonstrated via a spinless fermion model.
Contribution
It introduces a novel link between energy spread and current correlations, facilitating conductivity analysis without direct current measurements.
Findings
Numerical results confirm the relationship in a spinless fermion model.
The approach allows studying thermal conductivity from energy spread data.
The method provides a new way to analyze heat transport in quantum systems.
Abstract
We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function. The energy current-current correlation is related to thermal conductivity by the Green-Kubo formula, and thus this relationship allows us to study conductivity directly from the energy spread process. As an example, we investigate a spinless fermion model; the numerical results confirm the relationship.
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