Resonant-state expansion of the Green's function of open quantum systems
Abstract
Our series of recent work on the transmission coefficient of open quantum systems in one dimension will be reviewed. The transmission coefficient is equivalent to the conductance of a quantum dot connected to leads of quantum wires. We will show that the transmission coefficient is given by a sum over all discrete eigenstates without a background integral. An apparent "background" is in fact not a background but generated by tails of various resonance peaks. By using the expression, we will show that the Fano asymmetry of a resonance peak is caused by the interference between various discrete eigenstates. In particular, an unstable resonance can strongly skew the peak of a nearby resonance.
Keywords
Cite
@article{arxiv.1010.1342,
title = {Resonant-state expansion of the Green's function of open quantum systems},
author = {Naomichi Hatano and Gonzalo Ordonez},
journal= {arXiv preprint arXiv:1010.1342},
year = {2015}
}
Comments
7 pages, 7 figures. Submitted to International Journal of Theoretical Physics as an article in the Proceedings for PHHQP 2010 (http://www.math.zju.edu.cn/wjd/)