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
Publicado: 2018
Materias:
Conformal Field Theory
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n1_p_Blanco
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n1_p_Blanco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2018_n1_p_Blanco
record_format dspace
spelling paper:paper_11266708_v2018_n1_p_Blanco2023-06-08T16:08:58Z Modular energy inequalities from relative entropy 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). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n1_p_Blanco 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
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).
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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n1_p_Blanco
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n1_p_Blanco
_version_ 1768544052780728320

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