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Phase-averaged transport for quasi-periodic Hamiltonians. (English) Zbl 1014.82021
In the paper a lower bound on the diffusion exponents of a class of quasi-periodic Hamiltonians in terms of the multifractal dimensions of their density of states is obtained. The result is obtained exploiting suitable covariance properties of the Hamiltonians and substantially improves previous results.

MSC:
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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