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arXiv · 1603.08510

Universal Charge Diffusion and the Butterfly Effect

Mike Blake
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Abstract

We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by $D_c = C v_B^2/ (2 πT)$ where $v_B$ is the velocity of the butterfly effect. The constant of proportionality, $C$, depends only on the scaling exponents of the infra-red theory. Our results suggest an unexpected connection between transport at strong coupling and quantum chaos.

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Mike Blake. 2016-08-11. Universal Charge Diffusion and the Butterfly Effect. https://doi.org/10.1103/physrevlett.117.091601

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