Entanglement entropy and correlations in loop quantum gravity

Abstract

Black hole entropy is one of the few windows toward the quantum aspects of gravitation and its study over the years have highlighted the holographic nature of gravity. At the non-perturbative level in quantum gravity, promising explanations are being explored in terms of the entanglement entropy between regions of space. In the context of loop quantum gravity, this translates into the analysis of the correlations between regions of the spin network states defining the quantum state of geometry of space. In this paper, we explore a class of states, motivated by results in condensed matter physics, satisfying an area law for entanglement entropy and having non-trivial correlations. We highlight that entanglement comes from holonomy operators acting on loops crossing the boundary of the region.

8 pages (+ 4 pages of supplemental material)

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Cited by in corpus (8)

• Entanglement entropy of Bell-network states in LQG: Analytical and numerical results
• Quantum simulations of a qubit of space
• Holographic maps from quantum gravity states as tensor networks
• Holographic entanglement in spin network states: a focused review
• Semiclassical Behavior of Spinfoam Amplitude with Small Spins and Entanglement Entropy
• Intertwiner Entanglement Excitation and Holonomy Operator
• Curvature from multipartite entanglement in quantum gravity states
• Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity