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On entanglement spreading from holography
- Source :
- Journal of High Energy Physics, Vol 2017, Iss 5, Pp 1-46 (2017), Journal of High Energy Physics
- Publication Year :
- 2017
- Publisher :
- SpringerOpen, 2017.
-
Abstract
- A global quench is an interesting setting where we can study thermalization of subsystems in a pure state. We investigate entanglement entropy (EE) growth in global quenches in holographic field theories and relate some of its aspects to quantities characterizing chaos. More specifically we obtain four key results: 1. We prove holographic bounds on the entanglement velocity $v_E$ and the butterfly effect speed $v_B$ that arises in the study of chaos. 2. We obtain the EE as a function of time for large spherical entangling surfaces analytically. We show that the EE is insensitive to the details of the initial state or quench protocol. 3. In a thermofield double state we determine analytically the two-sided mutual information between two large concentric spheres separated in time. 4. We derive a bound on the rate of growth of EE for arbitrary shapes, and develop an expansion for EE at early times. In a companion paper arXiv:1608.05101, we put these results in the broader context of EE growth in chaotic systems: we relate EE growth to the chaotic spreading of operators, derive bounds on EE at a given time, and compare the holographic results to spin chain numerics and toy models. In this paper, we perform holographic calculations that provide the basis of arguments presented in that paper.<br />Comment: v2: presentation improved, typos fixed, 54 pages, 17 figures v1: 53 pages, 16 figures
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
Toy model
010308 nuclear & particles physics
Mathematics::History and Overview
Chaotic
Holography
Quantum entanglement
AdS-CFT Correspondence
01 natural sciences
law.invention
Spin chain
Holography and condensed matter physics (AdS/CMT)
AdS/CFT correspondence
Condensed Matter - Strongly Correlated Electrons
Thermalisation
law
0103 physical sciences
lcsh:QC770-798
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Statistical physics
Entropy (energy dispersal)
010306 general physics
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2017
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....8f53025f6b41f5dc804cbd2148f3f49f