Investigating interaction-induced chaos using time-dependent density functional theory

Details Investigating interaction-induced chaos using time-dependent density functional theory Investigating interaction-induced chaos using time-dependent density functional theory

2007-06-16

arxiv.org/abs/0706.2417v1

Physics

Condensed Matter

Other Condensed Matter

8 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.042503

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.

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