Bit threads and the membrane theory of entanglement dynamics

Abstract Recently, an effective membrane theory was proposed that describes the “hydrodynamic” regime of the entanglement dynamics for general chaotic systems. Motivated by the new bit threads formulation of holographic entanglement entropy, given in terms of a convex optimization problem based on f...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Cesar A. Agón, Márk Mezei
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Black Holes Gauge-gravity correspondence AdS-CFT Correspondence Quantum Dissipative Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/bb41d7653bab4604a31308154049291a
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:bb41d7653bab4604a31308154049291a
record_format	dspace
spelling	oai:doaj.org-article:bb41d7653bab4604a31308154049291a2021-11-28T12:40:31ZBit threads and the membrane theory of entanglement dynamics10.1007/JHEP11(2021)1671029-8479https://doaj.org/article/bb41d7653bab4604a31308154049291a2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)167https://doaj.org/toc/1029-8479Abstract Recently, an effective membrane theory was proposed that describes the “hydrodynamic” regime of the entanglement dynamics for general chaotic systems. Motivated by the new bit threads formulation of holographic entanglement entropy, given in terms of a convex optimization problem based on flow maximization, or equivalently tight packing of bit threads, we reformulate the membrane theory as a max flow problem by proving a max flow-min cut theorem. In the context of holography, we explain the relation between the max flow program dual to the membrane theory and the max flow program dual to the holographic surface extremization prescription by providing an explicit map from the membrane to the bulk, and derive the former from the latter in the “hydrodynamic” regime without reference to minimal surfaces or membranes.Cesar A. AgónMárk MezeiSpringerOpenarticleBlack HolesGauge-gravity correspondenceAdS-CFT CorrespondenceQuantum Dissipative 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	Black Holes Gauge-gravity correspondence AdS-CFT Correspondence Quantum Dissipative Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Black Holes Gauge-gravity correspondence AdS-CFT Correspondence Quantum Dissipative Systems Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Cesar A. Agón Márk Mezei Bit threads and the membrane theory of entanglement dynamics
description	Abstract Recently, an effective membrane theory was proposed that describes the “hydrodynamic” regime of the entanglement dynamics for general chaotic systems. Motivated by the new bit threads formulation of holographic entanglement entropy, given in terms of a convex optimization problem based on flow maximization, or equivalently tight packing of bit threads, we reformulate the membrane theory as a max flow problem by proving a max flow-min cut theorem. In the context of holography, we explain the relation between the max flow program dual to the membrane theory and the max flow program dual to the holographic surface extremization prescription by providing an explicit map from the membrane to the bulk, and derive the former from the latter in the “hydrodynamic” regime without reference to minimal surfaces or membranes.
format	article
author	Cesar A. Agón Márk Mezei
author_facet	Cesar A. Agón Márk Mezei
author_sort	Cesar A. Agón
title	Bit threads and the membrane theory of entanglement dynamics
title_short	Bit threads and the membrane theory of entanglement dynamics
title_full	Bit threads and the membrane theory of entanglement dynamics
title_fullStr	Bit threads and the membrane theory of entanglement dynamics
title_full_unstemmed	Bit threads and the membrane theory of entanglement dynamics
title_sort	bit threads and the membrane theory of entanglement dynamics
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/bb41d7653bab4604a31308154049291a
work_keys_str_mv	AT cesaraagon bitthreadsandthemembranetheoryofentanglementdynamics AT markmezei bitthreadsandthemembranetheoryofentanglementdynamics
_version_	1718407854995537920

Bit threads and the membrane theory of entanglement dynamics

Ejemplares similares