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摘要翻译：
研究了一类有限量子系统弱耦合子单元间激发几率的输运。结果表明，运移量的动力学行为依赖于所考虑的长度尺度E。g.引入的扩散和弹道输运之间的区别似乎是一个与尺度有关的概念，特别是因为从扩散到弹道行为的转变既存在于小尺度的极限，也存在于大尺度的极限。所有这些结果都是通过应用无时间卷积投影算子技术得到的，并通过对一系列模型参数的精确对角化得到的全时相关Schroedinger方程的数值解得到了验证。
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英文标题：
《Transition from diffusive to ballistic dynamics for a class of finite
quantum models》
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作者：
Robin Steinigeweg, Heinz-Peter Breuer, Jochen Gemmer
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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：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：
The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length scale, e. g., the introduced distinction between diffusive and ballistic transport appears to be a scale-dependent concept, especially since a transition from diffusive to ballistic behavior is found in the limit of small as well as in the limit of large length scales. All these results are derived by an application of the time-convolutionless projection operator technique and are verified by the numerical solution of the full time-dependent Schroedinger equation which is obtained by exact diagonalization for a range of model parameters.
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PDF链接：
https://arxiv.org/pdf/709.041
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