Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/13383
Title: Cosmological states in loop quantum gravity on homogeneous graphs
Authors: Baytaş, Bekir
Yokomizo, N.
Issue Date: 2023
Publisher: American Physical Society
Abstract: We introduce a class of states characterized by proposed conditions of homogeneity and isotropy in loop quantum gravity and construct concrete examples given by Bell-network states on a special class of homogeneous graphs. Such states provide new representations of cosmological spaces that can be explored for the formulation of cosmological models in the context of loop quantum gravity. We show that their local geometry is described in an automorphism-invariant manner by one-node observables analogous to the one-body observables used in many-body quantum mechanics, and compute the density matrix representing the restriction of global states to the algebra of one-node observables. The von Neumann entropy of this density matrix provides a notion of entanglement entropy of a local region that is invariant under automorphisms and can be applied to states involving superpositions of distinct graphs. © 2023 American Physical Society.
URI: https://doi.org/10.1103/PhysRevD.107.066009
https://hdl.handle.net/11147/13383
ISSN: 2470-0010
Appears in Collections:Physics / Fizik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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