Critical Fidelity
无序系统与神经网络
2007-05-23 v2 介观与纳米尺度物理
混沌动力学
摘要
Using a Wigner Lorentzian Random Matrix ensemble, we study the fidelity, , of systems at the Anderson metal-insulator transition, subject to small perturbations that preserve the criticality. We find that there are three decay regimes as perturbation strength increases: the first two are associated with a gaussian and an exponential decay respectively and can be described using Linear Response Theory. For stronger perturbations decays algebraically as , where is the correlation dimension of the critical eigenstates.
引用
@article{arxiv.cond-mat/0608555,
title = {Critical Fidelity},
author = {Gim Seng Ng and Joshua Bodyfelt and Tsampikos Kottos},
journal= {arXiv preprint arXiv:cond-mat/0608555},
year = {2007}
}
备注
4 pages, 3 figures. Revised and published in Phys. Rev. Lett