Entanglement renormalization and holography
Abstract
We show how recent progress in real space renormalization group methods can be used to define a generalized notion of holography inspired by holographic dualities in quantum gravity. The generalization is based upon organizing information in a quantum state in terms of scale and defining a higherdimensional geometry from this structure. While states with a finite correlation length typically give simple geometries, the state at a quantum critical point gives a discrete version of antide Sitter space. Some finite temperature quantum states include black holelike objects. The gross features of equal time correlation functions are also reproduced.
 Publication:

Physical Review D
 Pub Date:
 September 2012
 DOI:
 10.1103/PhysRevD.86.065007
 arXiv:
 arXiv:0905.1317
 Bibcode:
 2012PhRvD..86f5007S
 Keywords:

 03.65.Ud;
 03.67.Mn;
 04.70.Dy;
 64.60.ae;
 Entanglement and quantum nonlocality;
 Entanglement production characterization and manipulation;
 Quantum aspects of black holes evaporation thermodynamics;
 Renormalizationgroup theory;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory
 EPrint:
 15 pages, 5 figures