Hydrodynamics and instabilities of relativistic superfluids at finite superflow

We study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green’s functions to the upper half complex frequency plane. We show that this is caused by a local therm...

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Detalles Bibliográficos
Autores: Areán Fraga, Daniel, Goutéraux, Blaise, Mefford, Eric, Sottovia, Filippo
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/716730
Acceso en línea:http://hdl.handle.net/10486/716730
https://dx.doi.org/10.1007/JHEP05(2024)272
Access Level:acceso abierto
Palabra clave:AdS-CFT correspondence
field theory hydrodynamics
spontaneous symmetry breaking
Física
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spelling Hydrodynamics and instabilities of relativistic superfluids at finite superflowAreán Fraga, DanielGoutéraux, BlaiseMefford, EricSottovia, FilippoAdS-CFT correspondencefield theory hydrodynamicsspontaneous symmetry breakingFísicaWe study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green’s functions to the upper half complex frequency plane. We show that this is caused by a local thermodynamic instability, i.e. when an eigenvalue of the static susceptibility matrix (the second derivatives of the free energy) diverges and changes sign. The onset of the instability occurs when ∂ζ(nsζ) = 0, with ζ the norm of the superfluid velocity and ns the superfluid density. The Landau instability for non-relativistic superfluids such as Helium 4 also coincides with the non-relativistic version of this criterion. We then turn to gauge/gravity duality and show that this thermodynamic instability criterion applies equally well to strongly-coupled superfluids. In passing, we compute holographically a number of transport coefficients parametrizing deviations out-of-equilibrium in the hydrodynamic regime and demonstrate that the gapless quasinormal modes of the dual planar black hole match those predicted by superfluid hydrodynamicsThe work of D.A. is supported through the grants CEX2020-001007-S and PID2021-123017NB-100, PID2021-127726NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by ERDF \u201CA way of making Europe\u201D. The work of B.G. and F.S. is supported by the European Research Council (ERC) under the European Union\u2019s Horizon 2020 research and innovation programme (grant agreement No758759). The work of E.M. was supported in part by NSERC and in part by the European Research Council (ERC) under the European Union\u2019s Horizon 2020 research and innovation programme (grant agreement No758759). We all gratefully acknowledge Nordita\u2019s hospitality during the Nordita program \u2018Recent developments in strongly-correlated quantum matter\u2019 where part of this work was carried out. Part of this work was performedSpringer Science and Business Media Deutschland GmbHDepartamento de Física TeóricaFacultad de Ciencias20242024-05-23research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/716730https://dx.doi.org/10.1007/JHEP05(2024)272reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7167302026-06-23T12:46:27Z
dc.title.none.fl_str_mv Hydrodynamics and instabilities of relativistic superfluids at finite superflow
title Hydrodynamics and instabilities of relativistic superfluids at finite superflow
spellingShingle Hydrodynamics and instabilities of relativistic superfluids at finite superflow
Areán Fraga, Daniel
AdS-CFT correspondence
field theory hydrodynamics
spontaneous symmetry breaking
Física
title_short Hydrodynamics and instabilities of relativistic superfluids at finite superflow
title_full Hydrodynamics and instabilities of relativistic superfluids at finite superflow
title_fullStr Hydrodynamics and instabilities of relativistic superfluids at finite superflow
title_full_unstemmed Hydrodynamics and instabilities of relativistic superfluids at finite superflow
title_sort Hydrodynamics and instabilities of relativistic superfluids at finite superflow
dc.creator.none.fl_str_mv Areán Fraga, Daniel
Goutéraux, Blaise
Mefford, Eric
Sottovia, Filippo
author Areán Fraga, Daniel
author_facet Areán Fraga, Daniel
Goutéraux, Blaise
Mefford, Eric
Sottovia, Filippo
author_role author
author2 Goutéraux, Blaise
Mefford, Eric
Sottovia, Filippo
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv AdS-CFT correspondence
field theory hydrodynamics
spontaneous symmetry breaking
Física
topic AdS-CFT correspondence
field theory hydrodynamics
spontaneous symmetry breaking
Física
description We study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green’s functions to the upper half complex frequency plane. We show that this is caused by a local thermodynamic instability, i.e. when an eigenvalue of the static susceptibility matrix (the second derivatives of the free energy) diverges and changes sign. The onset of the instability occurs when ∂ζ(nsζ) = 0, with ζ the norm of the superfluid velocity and ns the superfluid density. The Landau instability for non-relativistic superfluids such as Helium 4 also coincides with the non-relativistic version of this criterion. We then turn to gauge/gravity duality and show that this thermodynamic instability criterion applies equally well to strongly-coupled superfluids. In passing, we compute holographically a number of transport coefficients parametrizing deviations out-of-equilibrium in the hydrodynamic regime and demonstrate that the gapless quasinormal modes of the dual planar black hole match those predicted by superfluid hydrodynamics
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-05-23
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/716730
https://dx.doi.org/10.1007/JHEP05(2024)272
url http://hdl.handle.net/10486/716730
https://dx.doi.org/10.1007/JHEP05(2024)272
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Science and Business Media Deutschland GmbH
publisher.none.fl_str_mv Springer Science and Business Media Deutschland GmbH
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
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