Eugenia Colafranceschi - Holographic properties of the bulk-boundary transmission of information 1/2
Автор: QG Lyon
Загружено: 2021-11-09
Просмотров: 111
Описание: For quantum gravity states associated to open spin network graphs, we investigate how the boundary (the set of open edges, which carry spin degrees of freedom) is affected by the bulk (the set of nodes, which carry intertwiner degrees of freedom), specifically by its combinatorial structure and by the quantum correlations among intertwiners. In particular, we determine under which conditions certain classes of quantum gravity states map bulk degrees of freedom into boundary ones isometrically (which is a necessary condition for holography). We then look at the entanglement entropy of the boundary and recover, for slightly entangled intertwiners, the Ryu-Takayanagi formula with 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 prevented from entering that region when the entanglement entropy of the latter exceeds a certain bound, a mechanism which thus leads to the rise of a black hole-like region in the bulk.
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