Localized shocks
Center for Theoretical Physics · Massachusetts Institute of Technology · +2 more institutions
Indexed inarxivcrossrefdoaj
Abstract
We study products of precursors of spatially local operators, $$ {W_x}_{{}_n}(tn)\cdot \cdot \cdot {W}_{x_1}\left({t}_1\right) $$ , 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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671
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Authors
3Topics & keywords
Topics
Keywords
- Homogeneous
- Physics
- Lattice (music)
- Einstein
- Duality (order theory)
- Mathematical physics
- Shock wave
- Gauge (firearms)
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