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.
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Lucas, A., Steinberg, J. Charge diffusion and the butterfly effect in striped holographic matter. J. High Energ. Phys. 2016, 143 (2016). https://doi.org/10.1007/JHEP10(2016)143
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DOI: https://doi.org/10.1007/JHEP10(2016)143