Localized shocks
Name
Roberts-2015-Localized shocks.pdf
Size
1.17 MB
Format
Adobe PDF
Checksum (MD5)
b16528abe1bad9cb86bee7e8bf5070fe
Author(s)
Stanford, Douglas
Susskind, Leonard
Roberts, Daniel Adam
Date Issued
March 2015
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Roberts, Daniel A., Douglas Stanford, and Leonard Susskind. “Localized Shocks.” J. High Energ. Phys. 2015, no. 3 (March 2015).
Version
Final published version
Abstract
We study products of precursors of spatially local operators, W[subscript xn](tn)⋅⋅⋅W[subscript x1](t[subscript 1]), where W [subscript x] (t) = e [superscript − iHt] W [subscript x] e [superscript 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/jhep03(2015)051
