Sparse SYK and traversable wormholes

Abstract We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of N Majorana fermions coupled by random q-body interactions. The de...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Elena Cáceres, Anderson Misobuchi, Rafael Pimentel
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	2D Gravity AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Random Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/f63eba9f5b0a419d9af4488e7c879839
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:f63eba9f5b0a419d9af4488e7c879839
record_format	dspace
spelling	oai:doaj.org-article:f63eba9f5b0a419d9af4488e7c8798392021-11-08T11:16:26ZSparse SYK and traversable wormholes10.1007/JHEP11(2021)0151029-8479https://doaj.org/article/f63eba9f5b0a419d9af4488e7c8798392021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)015https://doaj.org/toc/1029-8479Abstract We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of N Majorana fermions coupled by random q-body interactions. The degree of sparseness is captured by a regular hypergraph in such a way that the Hamiltonian contains exactly k N independent terms. We improve on the theoretical understanding of the sparseness property by using known measures of hypergraph expansion. We show that the sparse version of the two coupled SYK model is gapped with a ground state close to a thermofield double state. Using Krylov subspace and parallelization techniques, we simulate the system for q = 4 and q = 8. The sparsity of the model allows us to explore larger values of N than the ones existing in the literature for the all-to-all SYK. We analyze in detail the two-point functions and the transmission amplitude of signals between the two systems. We identify a range of parameters where revivals obey the scaling predicted by holography and signals can be interpreted as traversing the wormhole.Elena CáceresAnderson MisobuchiRafael PimentelSpringerOpenarticle2D GravityAdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT)Random SystemsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-32 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	2D Gravity AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Random Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	2D Gravity AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Random Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Elena Cáceres Anderson Misobuchi Rafael Pimentel Sparse SYK and traversable wormholes
description	Abstract We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of N Majorana fermions coupled by random q-body interactions. The degree of sparseness is captured by a regular hypergraph in such a way that the Hamiltonian contains exactly k N independent terms. We improve on the theoretical understanding of the sparseness property by using known measures of hypergraph expansion. We show that the sparse version of the two coupled SYK model is gapped with a ground state close to a thermofield double state. Using Krylov subspace and parallelization techniques, we simulate the system for q = 4 and q = 8. The sparsity of the model allows us to explore larger values of N than the ones existing in the literature for the all-to-all SYK. We analyze in detail the two-point functions and the transmission amplitude of signals between the two systems. We identify a range of parameters where revivals obey the scaling predicted by holography and signals can be interpreted as traversing the wormhole.
format	article
author	Elena Cáceres Anderson Misobuchi Rafael Pimentel
author_facet	Elena Cáceres Anderson Misobuchi Rafael Pimentel
author_sort	Elena Cáceres
title	Sparse SYK and traversable wormholes
title_short	Sparse SYK and traversable wormholes
title_full	Sparse SYK and traversable wormholes
title_fullStr	Sparse SYK and traversable wormholes
title_full_unstemmed	Sparse SYK and traversable wormholes
title_sort	sparse syk and traversable wormholes
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/f63eba9f5b0a419d9af4488e7c879839
work_keys_str_mv	AT elenacaceres sparsesykandtraversablewormholes AT andersonmisobuchi sparsesykandtraversablewormholes AT rafaelpimentel sparsesykandtraversablewormholes
_version_	1718442294710894592

Sparse SYK and traversable wormholes

Ejemplares similares