Dynamic structure factor of Calogero–Sutherland fluids

Autores
Bottesi, Federico L.; Zemba, Guillermo R.
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; Argentina
The effective extended conformal field theory with symmetry W 1 + ∞ × ¯¯¯¯ W 1 + ∞ that describes the thermodynamic limit of the Calogero–Sutherland (CS) model is considered. The dynamic structure factor of the chiral component in the repulsive regime is determined and compared with the corresponding one of the free bosonic theory, given that both share isomorphic Hilbert spaces but differ in the time evolution of quantum states. In either case, a sharp response function peaked at only one resonant frequency is found, and the physical implications of this outcome are addressed. Furthermore, a detailed comparison between this result and the corresponding one obtained in the first quantized formulation of the CS model is provided. Complete agreement in the parameter region in which both results overlap is found. This outcome provides further support to the equivalence between the first and second quantized treatments of the CS model, in which the computational advantages from integrability in the first formulation are paralleled by those from the algebraic structure of the second.
Fuente
International Journal of Modern Physics A, Vol. 40, No. 28, 2550134 (2025)
Materia
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FISICA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
Repositorio Institucional (UCA)
Institución
Pontificia Universidad Católica Argentina
OAI Identificador
oai:ucacris:123456789/21952
Acceder
id RIUCA_1afb63c1d6f040d026a980ced5fe55b0
oai_identifier_str oai:ucacris:123456789/21952
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Dynamic structure factor of Calogero–Sutherland fluidsBottesi, Federico L.Zemba, Guillermo R.MODELO CALOGERO-SUTHERLANDFLUIDOSFISICAFil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; ArgentinaThe effective extended conformal field theory with symmetry W 1 + ∞ × ¯¯¯¯ W 1 + ∞ that describes the thermodynamic limit of the Calogero–Sutherland (CS) model is considered. The dynamic structure factor of the chiral component in the repulsive regime is determined and compared with the corresponding one of the free bosonic theory, given that both share isomorphic Hilbert spaces but differ in the time evolution of quantum states. In either case, a sharp response function peaked at only one resonant frequency is found, and the physical implications of this outcome are addressed. Furthermore, a detailed comparison between this result and the corresponding one obtained in the first quantized formulation of the CS model is provided. Complete agreement in the parameter region in which both results overlap is found. This outcome provides further support to the equivalence between the first and second quantized treatments of the CS model, in which the computational advantages from integrability in the first formulation are paralleled by those from the algebraic structure of the second.World Scientific Publishing Co Pte Ltd2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://repositorio.uca.edu.ar/handle/123456789/219521793-656X10.1142/S0217751X25501349International Journal of Modern Physics A, Vol. 40, No. 28, 2550134 (2025)reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentinaenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/2026-09-28T11:10:43Zoai:ucacris:123456789/21952instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852026-09-28 11:10:44.395Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Dynamic structure factor of Calogero–Sutherland fluids
title Dynamic structure factor of Calogero–Sutherland fluids
spellingShingle Dynamic structure factor of Calogero–Sutherland fluids
Bottesi, Federico L.
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FISICA
title_short Dynamic structure factor of Calogero–Sutherland fluids
title_full Dynamic structure factor of Calogero–Sutherland fluids
title_fullStr Dynamic structure factor of Calogero–Sutherland fluids
title_full_unstemmed Dynamic structure factor of Calogero–Sutherland fluids
title_sort Dynamic structure factor of Calogero–Sutherland fluids
dc.creator.none.fl_str_mv Bottesi, Federico L.
Zemba, Guillermo R.
author Bottesi, Federico L.
author_facet Bottesi, Federico L.
Zemba, Guillermo R.
author_role author
author2 Zemba, Guillermo R.
author2_role author
dc.subject.none.fl_str_mv MODELO CALOGERO-SUTHERLAND
FLUIDOS
FISICA
topic MODELO CALOGERO-SUTHERLAND
FLUIDOS
FISICA
dc.description.none.fl_txt_mv Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; Argentina
The effective extended conformal field theory with symmetry W 1 + ∞ × ¯¯¯¯ W 1 + ∞ that describes the thermodynamic limit of the Calogero–Sutherland (CS) model is considered. The dynamic structure factor of the chiral component in the repulsive regime is determined and compared with the corresponding one of the free bosonic theory, given that both share isomorphic Hilbert spaces but differ in the time evolution of quantum states. In either case, a sharp response function peaked at only one resonant frequency is found, and the physical implications of this outcome are addressed. Furthermore, a detailed comparison between this result and the corresponding one obtained in the first quantized formulation of the CS model is provided. Complete agreement in the parameter region in which both results overlap is found. This outcome provides further support to the equivalence between the first and second quantized treatments of the CS model, in which the computational advantages from integrability in the first formulation are paralleled by those from the algebraic structure of the second.
description Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://repositorio.uca.edu.ar/handle/123456789/21952
1793-656X
10.1142/S0217751X25501349
url https://repositorio.uca.edu.ar/handle/123456789/21952
identifier_str_mv 1793-656X
10.1142/S0217751X25501349
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific Publishing Co Pte Ltd
publisher.none.fl_str_mv World Scientific Publishing Co Pte Ltd
dc.source.none.fl_str_mv International Journal of Modern Physics A, Vol. 40, No. 28, 2550134 (2025)
reponame:Repositorio Institucional (UCA)
instname:Pontificia Universidad Católica Argentina
reponame_str Repositorio Institucional (UCA)
collection Repositorio Institucional (UCA)
instname_str Pontificia Universidad Católica Argentina
repository.name.fl_str_mv Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentina
repository.mail.fl_str_mv claudia_fernandez@uca.edu.ar
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score 13.265058

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