Critical Fidelity

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dc.creatorNg, Gim Seng
dc.creatorBodyfelt, Joshua
dc.creatorKottos, Tsampikos
dc.date2006-08-25
dc.date2006-12-31
dc.date.accessioned2026-07-07T07:37:34Z
dc.date.available2026-07-07T07:37:34Z
dc.descriptionUsing a Wigner Lorentzian Random Matrix ensemble, we study the fidelity, $F(t)$, 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 $F(t)$ decays algebraically as $F(t)\sim t^{-D_2}$, where $D_2$ is the correlation dimension of the critical eigenstates.
dc.description4 pages, 3 figures. Revised and published in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0608555
dc.identifierhttp://arxiv.org/abs/cond-mat/0608555
dc.identifierPhys. Rev. Lett. 97, 256404 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.256404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120819
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleCritical Fidelity
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