Localized shocks

DOI10.1007/JHEP03(2015)051zbMATH Open1388.83694arXiv1409.8180MaRDI QIDQ1755006

Author name not available (Why is that?)

Publication date: 31 May 2018

Published in: (Search for Journal in Brave)

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^{- i H t} W_{x} e^{i H t}

. 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.

Full work available at URL: https://arxiv.org/abs/1409.8180

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