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- W1975850928 abstract "We study the time evolution of the survival probability $P(t)$ in open one-dimensional quasiperiodic tight-binding samples of size L, at critical conditions. We find that it decays algebraically as $P(t)ensuremath{sim}{t}^{ensuremath{-}ensuremath{alpha}}$ up to times ${t}^{*}ensuremath{sim}{L}^{ensuremath{gamma}},$ where $ensuremath{alpha}=1ensuremath{-}{D}_{0}^{E},$ $ensuremath{gamma}{=1/D}_{0}^{E},$ and ${D}_{0}^{E}$ is the fractal dimension of the spectrum of the closed system. These results were obtained for the Harper model at the metal-insulator transition and for Fibonacci lattices, and are supported by a perturbative argument. These relaxation phenomena should be observable in propagation experiments with electrons or classical waves in quasiperiodic superlattices or dielectric multilayers." @default.
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- W1975850928 date "2001-11-26" @default.
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- W1975850928 title "Quantum mechanical relaxation of open quasiperiodic systems" @default.
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- W1975850928 doi "https://doi.org/10.1103/physrevb.64.224210" @default.
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