Modular energy inequalities from relative entropy

We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints lead to interesting relations between energy and entropy. In particular, we de...

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Detalles Bibliográficos
Autores principales: Blanco, D., Casini, H., Leston, M., Rosso, F.
Formato: JOUR
Materias:
Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n1_p_Blanco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2018_n1_p_Blanco
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spelling todo:paper_11266708_v2018_n1_p_Blanco2023-10-03T16:07:42Z Modular energy inequalities from relative entropy Blanco, D. Casini, H. Leston, M. Rosso, F. Conformal Field Theory Field Theories in Higher Dimensions Field Theories in Lower Dimensions We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints lead to interesting relations between energy and entropy. In particular, we derive new quantum energy inequalities that improve some previous bounds for the energy density of states in a conformal field theory. Additionally, the inequalities derived in this manner also lead us to conclude that the entropy of the state further restricts the possible amount of negative energy allowed by the theory. © 2018, The Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n1_p_Blanco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
spellingShingle Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
Blanco, D.
Casini, H.
Leston, M.
Rosso, F.
Modular energy inequalities from relative entropy
topic_facet Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
description We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints lead to interesting relations between energy and entropy. In particular, we derive new quantum energy inequalities that improve some previous bounds for the energy density of states in a conformal field theory. Additionally, the inequalities derived in this manner also lead us to conclude that the entropy of the state further restricts the possible amount of negative energy allowed by the theory. © 2018, The Author(s).
format JOUR
author Blanco, D.
Casini, H.
Leston, M.
Rosso, F.
author_facet Blanco, D.
Casini, H.
Leston, M.
Rosso, F.
author_sort Blanco, D.
title Modular energy inequalities from relative entropy
title_short Modular energy inequalities from relative entropy
title_full Modular energy inequalities from relative entropy
title_fullStr Modular energy inequalities from relative entropy
title_full_unstemmed Modular energy inequalities from relative entropy
title_sort modular energy inequalities from relative entropy
url http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n1_p_Blanco
work_keys_str_mv AT blancod modularenergyinequalitiesfromrelativeentropy
AT casinih modularenergyinequalitiesfromrelativeentropy
AT lestonm modularenergyinequalitiesfromrelativeentropy
AT rossof modularenergyinequalitiesfromrelativeentropy
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