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Holographic systems far from equilibrium: a review

Author(s)
Liu, Hong; Sonner, Julian
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Abstract
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.
Date issued
2019-12
URI
https://hdl.handle.net/1721.1/128619
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Journal
Reports on Progress in Physics
Publisher
IOP Publishing
Citation
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
Version: Original manuscript
ISSN
1361-6633

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