摘要翻译:
其基本的经典动力学是混沌的系统在其量子力学中表现出混沌的特征。我们探讨了用含时密度泛函理论(TDDFT)研究单独由电子相互作用引起混沌的可能性。最近邻水平间距统计量原则上可以从TDDFT中准确和直接地获得。我们讨论了TDDFT线性响应过程如何揭示单独由电子相互作用引起的混沌机制。一个简单的双电子量子点模型强调了在TDDFT中超越绝热近似的必要性。
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英文标题:
《Investigating interaction-induced chaos using time-dependent density
functional theory》
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作者:
Adam Wasserman, Neepa T. Maitra, and Eric J. Heller
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/706.2417