Investigating interaction-induced chaos using time-dependent density functional theory
Other Condensed Matter
2009-11-13 v1 Statistical Mechanics
Abstract
Systems whose underlying classical dynamics are chaotic exhibit signatures of the chaos in their quantum mechanics. We investigate the possibility of using time-dependent density functional theory (TDDFT) to study the case when chaos is induced by electron-interaction alone. Nearest-neighbour level-spacing statistics are in principle exactly and directly accessible from TDDFT. We discuss how the TDDFT linear response procedure can reveal the mechanism of chaos induced by electron-interaction alone. A simple model of a two-electron quantum dot highlights the necessity to go beyond the adiabatic approximation in TDDFT.
Cite
@article{arxiv.0706.2417,
title = {Investigating interaction-induced chaos using time-dependent density functional theory},
author = {Adam Wasserman and Neepa T. Maitra and Eric J. Heller},
journal= {arXiv preprint arXiv:0706.2417},
year = {2009}
}