Charge diffusion and the butterfly effect in striped holographic matter
arXiv:1608.03286 · doi:10.1007/JHEP10(2016)143
Abstract
Recently, it has been proposed that the butterfly velocity - a speed at which quantum information propagates - may provide a fundamental bound on diffusion constants in dirty incoherent metals. We analytically compute the charge diffusion constant and the butterfly velocity in charge-neutral holographic matter with long wavelength "hydrodynamic" disorder in a single spatial direction. In this limit, we find that the butterfly velocity does not set a sharp lower bound for the charge diffusion constant.
arXiv comment16+7 pages; 1 figure. v2: published version
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