Modular Hamiltonian for holographic excited states

In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT—at large N—correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Ri...

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Autores principales: Arias, Raúl Eduardo, Botta Cantcheff, Marcelo Ángel Nicolás, Martínez, Pedro Jorge, Zárate Chahín, Juan Felipe
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
Conformal field theory
Gauge-gravity dualities
Quantum field theory
Particles & Fields
Gravitation, Cosmology & Astrophysics
Quantum Information
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131884
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131884
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Conformal field theory
Gauge-gravity dualities
Quantum field theory
Particles & Fields
Gravitation, Cosmology & Astrophysics
Quantum Information
spellingShingle Ciencias Exactas
Física
Conformal field theory
Gauge-gravity dualities
Quantum field theory
Particles & Fields
Gravitation, Cosmology & Astrophysics
Quantum Information
Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Zárate Chahín, Juan Felipe
Modular Hamiltonian for holographic excited states
topic_facet Ciencias Exactas
Física
Conformal field theory
Gauge-gravity dualities
Quantum field theory
Particles & Fields
Gravitation, Cosmology & Astrophysics
Quantum Information
description In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT—at large N—correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to evaluate the modular Hamiltonian in a large N approximation. Finally, we extend the holographic Banks, Douglas, Horowitz and Matinec (BDHM) formula to compute the modular evolution of operators in the corresponding CFT algebra, and propose this as a more general prescription.
format Articulo
Articulo
author Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Zárate Chahín, Juan Felipe
author_facet Arias, Raúl Eduardo
Botta Cantcheff, Marcelo Ángel Nicolás
Martínez, Pedro Jorge
Zárate Chahín, Juan Felipe
author_sort Arias, Raúl Eduardo
title Modular Hamiltonian for holographic excited states
title_short Modular Hamiltonian for holographic excited states
title_full Modular Hamiltonian for holographic excited states
title_fullStr Modular Hamiltonian for holographic excited states
title_full_unstemmed Modular Hamiltonian for holographic excited states
title_sort modular hamiltonian for holographic excited states
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/131884
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AT bottacantcheffmarceloangelnicolas modularhamiltonianforholographicexcitedstates
AT martinezpedrojorge modularhamiltonianforholographicexcitedstates
AT zaratechahinjuanfelipe modularhamiltonianforholographicexcitedstates
bdutipo_str Repositorios
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