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一类有限量子模型从扩散动力学到弹道动力学的转变。

Transition from diffusive to ballistic dynamics for a class of finite quantum models.

作者信息

Steinigeweg Robin, Breuer Heinz-Peter, Gemmer Jochen

机构信息

Fachbereich Physik, Universität Osnabrück, Barbarastrasse 7, D-49069 Osnabrück, Germany.

出版信息

Phys Rev Lett. 2007 Oct 12;99(15):150601. doi: 10.1103/PhysRevLett.99.150601. Epub 2007 Oct 9.

DOI:10.1103/PhysRevLett.99.150601
PMID:17995149
Abstract

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 Schrödinger equation which is obtained by exact diagonalization for a range of model parameters.

摘要

针对一类有限量子系统,研究了弱耦合亚基间激发概率的传输。结果表明,传输量的动力学行为取决于所考虑的长度尺度;例如,引入的扩散传输和弹道传输之间的区别似乎是一个与尺度相关的概念,特别是因为在小长度尺度极限和大长度尺度极限中都发现了从扩散行为到弹道行为的转变。所有这些结果都是通过应用无时间卷积投影算符技术得出的,并通过对一系列模型参数进行精确对角化得到的含时薛定谔方程的全数值解进行了验证。

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