Holographic systems far from equilibrium: a review
In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult to deal with, not to mention at strong coupling and when including quantum effects. Remarkably, using holog...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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IOP Publishing
2020
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| Online Access: | https://hdl.handle.net/1721.1/128619 |
| _version_ | 1826216082485018624 |
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| author | Liu, Hong Sonner, Julian |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Liu, Hong Sonner, Julian |
| author_sort | Liu, Hong |
| collection | MIT |
| description | In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult to deal with, not to mention at strong coupling and when including quantum effects. Remarkably, using holographic duality one can describe and follow the real-time evolution of far-from-equilibrium systems, including those which are spatially inhomogeneous and anisotropic, by solving partial differential gravity equations. We sample developments in two broad classes of question which have recently been of much interest to the condensed matter community: non-equilibrium steady states, and quantum systems undergoing a global quench. Our discussion focuses on the main physical insights obtained from the gravity approaches, rather than comprehensive treatment of each topic or detailed descriptions of gravity calculations. The paper also includes an overview of current numerical techniques, as well as the holographic Schwinger-Keldysh approach to real-time correlation functions. ©2019 IOP Publishing Ltd. |
| first_indexed | 2024-09-23T16:42:02Z |
| format | Article |
| id | mit-1721.1/128619 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:42:02Z |
| publishDate | 2020 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1286192022-09-29T20:52:02Z Holographic systems far from equilibrium: a review Liu, Hong Sonner, Julian Massachusetts Institute of Technology. Center for Theoretical Physics In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult to deal with, not to mention at strong coupling and when including quantum effects. Remarkably, using holographic duality one can describe and follow the real-time evolution of far-from-equilibrium systems, including those which are spatially inhomogeneous and anisotropic, by solving partial differential gravity equations. We sample developments in two broad classes of question which have recently been of much interest to the condensed matter community: non-equilibrium steady states, and quantum systems undergoing a global quench. Our discussion focuses on the main physical insights obtained from the gravity approaches, rather than comprehensive treatment of each topic or detailed descriptions of gravity calculations. The paper also includes an overview of current numerical techniques, as well as the holographic Schwinger-Keldysh approach to real-time correlation functions. ©2019 IOP Publishing Ltd. Fonds National Suisse de la Recherche Scientifique - Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (200021 162796) NCCR (51NF40-141869) Office of High Energy Physics of the US DOE (Grant Contract Number DE-SC0012567) 2020-11-23T23:48:21Z 2020-11-23T23:48:21Z 2019-12 2019-03 2020-11-02T19:26:15Z Article http://purl.org/eprint/type/JournalArticle 1361-6633 https://hdl.handle.net/1721.1/128619 Liu, Hong and Julian Sonner, "Holographic systems far from equilibrium: a review." Reports on Progress in Physics 83, 1 (January 2020): 016001 doi. 10.1088/1361-6633/ab4f91 ©2019 Authors en https://dx.doi.org/10.1088/1361-6633/AB4F91 Reports on Progress in Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Liu, Hong Sonner, Julian Holographic systems far from equilibrium: a review |
| title | Holographic systems far from equilibrium: a review |
| title_full | Holographic systems far from equilibrium: a review |
| title_fullStr | Holographic systems far from equilibrium: a review |
| title_full_unstemmed | Holographic systems far from equilibrium: a review |
| title_short | Holographic systems far from equilibrium: a review |
| title_sort | holographic systems far from equilibrium a review |
| url | https://hdl.handle.net/1721.1/128619 |
| work_keys_str_mv | AT liuhong holographicsystemsfarfromequilibriumareview AT sonnerjulian holographicsystemsfarfromequilibriumareview |