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• W2004359964 abstract "We prove that the temporal autocorrelation function C(t) for quantum systems with Cantor spectra has an algebraic decay C(t)ensuremath{sim}${mathit{t}}^{mathrm{ensuremath{-}}mathrm{ensuremath{delta}}}$, where ensuremath{delta} equals the generalized dimension ${mathit{D}}_{2}$ of the spectral measure and is bounded by the Hausdorff dimension ${mathit{D}}_{0}$ensuremath{ge}ensuremath{delta}. We study various incommensurate systems with singular continuous and absolutely continuous Cantor spectra and find extremely slow correlation decays in singular continuous cases (ensuremath{delta}=0.14 for the critical Harper model and 0ensuremath{le}0.84 for the Fibonacci chains). In the kicked Harper model we deomonstrate that the quantum mechanical decay is unrelated to the existence of classical chaos." @default.
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• W2004359964 date "1992-08-03" @default.
• W2004359964 modified "2023-09-27" @default.
• W2004359964 title "Slow decay of temporal correlations in quantum systems with Cantor spectra" @default.
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• W2004359964 doi "https://doi.org/10.1103/physrevlett.69.695" @default.
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