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arXiv · 1409.8180

Localized shocks

Daniel A. Roberts·Douglas Stanford·Leonard Susskind
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Abstract

We study products of precursors of spatially local operators, $W_{x_{n}}(t_{n}) ... W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in $t$. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous case.

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Daniel A. Roberts, Douglas Stanford, Leonard Susskind. 2016-05-25. Localized shocks. https://doi.org/10.1007/jhep03(2015)051

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