Localized shocks
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 fil...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2015
|
| Online Access: | http://hdl.handle.net/1721.1/97174 https://orcid.org/0000-0002-8348-6506 |
| _version_ | 1826195361024180224 |
|---|---|
| author | Stanford, Douglas Susskind, Leonard Roberts, Daniel Adam |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Stanford, Douglas Susskind, Leonard Roberts, Daniel Adam |
| author_sort | Stanford, Douglas |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:11:28Z |
| format | Article |
| id | mit-1721.1/97174 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:11:28Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/971742022-09-26T16:17:26Z Localized shocks Stanford, Douglas Susskind, Leonard Roberts, Daniel Adam Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Roberts, Daniel Adam 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. American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship Hertz Foundation National Science Foundation (U.S.) (Grant 0756174) National Science Foundation (U.S.) (Grant PHYS-1066293) United States. Dept. of Energy (Contract DE-SC00012567) 2015-06-03T13:20:33Z 2015-06-03T13:20:33Z 2015-03 2014-12 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/97174 Roberts, Daniel A., Douglas Stanford, and Leonard Susskind. “Localized Shocks.” J. High Energ. Phys. 2015, no. 3 (March 2015). https://orcid.org/0000-0002-8348-6506 en_US http://dx.doi.org/10.1007/jhep03(2015)051 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Stanford, Douglas Susskind, Leonard Roberts, Daniel Adam Localized shocks |
| title | Localized shocks |
| title_full | Localized shocks |
| title_fullStr | Localized shocks |
| title_full_unstemmed | Localized shocks |
| title_short | Localized shocks |
| title_sort | localized shocks |
| url | http://hdl.handle.net/1721.1/97174 https://orcid.org/0000-0002-8348-6506 |
| work_keys_str_mv | AT stanforddouglas localizedshocks AT susskindleonard localizedshocks AT robertsdanieladam localizedshocks |