Bulk area law for boundary entanglement in spin network states: Entropy corrections and horizon-like regions from volume correlations

Chirco, Goffredo; Colafranceschi, Eugenia und Oriti, Daniele (2022): Bulk area law for boundary entanglement in spin network states: Entropy corrections and horizon-like regions from volume correlations. In: Physical Review D, Bd. 105, Nr. 4, 46018

Abstract

For quantum gravity states associated with open spin network graphs, we study how the entanglement entropy of the boundary degrees of freedom (spins on open edges) is affected by the bulk data, specifically by its combinatorial structure and by the quantum correlations among intertwiner degrees of freedom. For a specific assignment of bulk edge spins and slightly entangled intertwiners, we recover the Ryu-Takayanagi formula (with a properly discrete geometric notion of area, thanks to the underlying quantum gravity formalism) and its corrections due to the entanglement entropy of the bulk state. We also show that the presence of a region with highly entangled intertwiners deforms the minimal-area surface, which is then prevented from entering that region when the entanglement entropy of the latter exceeds a certain bound. This entanglement-based mechanism leads thus to the formation of a black hole-like region in the bulk.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 2470-0010
• Sprache: Englisch