Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class

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 field theory of the Calogero–Sutherland model represents a universality class of quantum hydrodynamic fluids in one spatial dimension. It describes quantum compressible fluids involving both chiralities in which the chiral density field obeys the quantum Benjamin–Ono equation. An extension of this theory to describe a laminar flow of the Calogero–Sutherland fluids in a rectangular geometry with small transverse width and the topology of a ribbon, is considered here. The physical picture is based on the edge states in the hierarchical quantum Hall effect, which may be seen as a collection of parallel one-dimensional quantum incompressible fluids moving along but confined within the transverse microscopic width of the edge of the sample. The effective theory is thus defined as the direct product of two one-dimensional theories of the Calogero–Sutherland class so that one involves motion while the other is confining. Charge transport may be induced by coupling the system to an external electromagnetic field that yields a global translation of the ground state. The effective theory describes quantum solitonic excitations along the direction of the flow and possesses a two-dimensional electric current density which shows a Wigner semicircle law profile in the transverse direction, suggesting a Poiseuille-like behavior but without dissipative viscous effects since the velocity of the fluid is not a well-defined quantum field. This simple physical picture predicts interesting phenomena with distinctive signatures that may be tested in real samples.
Fuente
International Journal of Modern Physics A, Vol. 40, No. 03, 2450156 (2025)
Materia
ALGEBRA
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FLUIDOS CUANTICOS
FLUJO LAMINAR
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:123456789/21953
Acceder
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oai_identifier_str oai:ucacris:123456789/21953
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Laminar flow of charged quantum fluids of the Calogero–Sutherland universality classBottesi, Federico L.Zemba, Guillermo R.ALGEBRAMODELO CALOGERO-SUTHERLANDFLUIDOSFLUIDOS CUANTICOSFLUJO LAMINARFil: 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 field theory of the Calogero–Sutherland model represents a universality class of quantum hydrodynamic fluids in one spatial dimension. It describes quantum compressible fluids involving both chiralities in which the chiral density field obeys the quantum Benjamin–Ono equation. An extension of this theory to describe a laminar flow of the Calogero–Sutherland fluids in a rectangular geometry with small transverse width and the topology of a ribbon, is considered here. The physical picture is based on the edge states in the hierarchical quantum Hall effect, which may be seen as a collection of parallel one-dimensional quantum incompressible fluids moving along but confined within the transverse microscopic width of the edge of the sample. The effective theory is thus defined as the direct product of two one-dimensional theories of the Calogero–Sutherland class so that one involves motion while the other is confining. Charge transport may be induced by coupling the system to an external electromagnetic field that yields a global translation of the ground state. The effective theory describes quantum solitonic excitations along the direction of the flow and possesses a two-dimensional electric current density which shows a Wigner semicircle law profile in the transverse direction, suggesting a Poiseuille-like behavior but without dissipative viscous effects since the velocity of the fluid is not a well-defined quantum field. This simple physical picture predicts interesting phenomena with distinctive signatures that may be tested in real samples.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/123456789/219531793-656X10.1142/S0217751X24501562International Journal of Modern Physics A, Vol. 40, No. 03, 2450156 (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:123456789/21953instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852026-09-28 11:10:44.399Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
title Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
spellingShingle Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
Bottesi, Federico L.
ALGEBRA
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FLUIDOS CUANTICOS
FLUJO LAMINAR
title_short Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
title_full Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
title_fullStr Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
title_full_unstemmed Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
title_sort Laminar flow of charged quantum fluids of the Calogero–Sutherland universality class
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 ALGEBRA
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FLUIDOS CUANTICOS
FLUJO LAMINAR
topic ALGEBRA
MODELO CALOGERO-SUTHERLAND
FLUIDOS
FLUIDOS CUANTICOS
FLUJO LAMINAR
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 field theory of the Calogero–Sutherland model represents a universality class of quantum hydrodynamic fluids in one spatial dimension. It describes quantum compressible fluids involving both chiralities in which the chiral density field obeys the quantum Benjamin–Ono equation. An extension of this theory to describe a laminar flow of the Calogero–Sutherland fluids in a rectangular geometry with small transverse width and the topology of a ribbon, is considered here. The physical picture is based on the edge states in the hierarchical quantum Hall effect, which may be seen as a collection of parallel one-dimensional quantum incompressible fluids moving along but confined within the transverse microscopic width of the edge of the sample. The effective theory is thus defined as the direct product of two one-dimensional theories of the Calogero–Sutherland class so that one involves motion while the other is confining. Charge transport may be induced by coupling the system to an external electromagnetic field that yields a global translation of the ground state. The effective theory describes quantum solitonic excitations along the direction of the flow and possesses a two-dimensional electric current density which shows a Wigner semicircle law profile in the transverse direction, suggesting a Poiseuille-like behavior but without dissipative viscous effects since the velocity of the fluid is not a well-defined quantum field. This simple physical picture predicts interesting phenomena with distinctive signatures that may be tested in real samples.
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/123456789/21953
1793-656X
10.1142/S0217751X24501562
url https://repositorio.uca.edu.ar/handle/123456789/21953
identifier_str_mv 1793-656X
10.1142/S0217751X24501562
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. 03, 2450156 (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
_version_ 1877586771700613120
score 13.265058

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