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arXiv · 0706.2417

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

Adam Wasserman·Neepa T. Maitra·Eric J. Heller
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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.

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Adam Wasserman, Neepa T. Maitra, Eric J. Heller. 2007-06-16. Investigating interaction-induced chaos using time-dependent density functional theory. https://doi.org/10.1103/physreva.77.042503

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