Back to Search
Start Over
Entanglement contour and modular flow from subset entanglement entropies
- Source :
- Journal of High Energy Physics, Vol 2020, Iss 5, Pp 1-22 (2020), Journal of High Energy Physics
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the entanglement contour in two-dimensional theories. The first proposal is a fine structure analysis of the entanglement wedge which applies to holographic theories. The second proposal is a claim that for general two-dimensional theories the partial entanglement entropy is given by a linear combination of entanglement entropies of relevant subsets inside $\mathcal{A}$. In this paper we further study the partial entanglement entropy proposal by showing that it satisfies all the rational requirements proposed previously. We also extend the fine structure analysis from vacuum AdS space to BTZ black holes. Furthermore we give a simple prescription to generate the local modular flows for two-dimensional theories from only the entanglement entropies without refer to the explicit Rindler transformations.<br />v2,9pages,8figures,version improved; v3,22 pages, name changed, clarification of the modular plane added, fine structure analysis for the BTZ background added, more discussions on the modular flows; v4, matching with the published version on JHEP
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
Structure analysis
Geodesic
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Quantum entanglement
AdS-CFT Correspondence
01 natural sciences
General Relativity and Quantum Cosmology
Gauge-gravity correspondence
Theoretical physics
0103 physical sciences
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
010306 general physics
Linear combination
Physics
Quantum Physics
Conformal Field Theory
010308 nuclear & particles physics
business.industry
Conformal field theory
Modular design
AdS/CFT correspondence
High Energy Physics - Theory (hep-th)
lcsh:QC770-798
Quantum Physics (quant-ph)
business
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2020
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....5914fe571effb0e0df95bd6e66bb0798