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...
| Autores: | , , , |
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| 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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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 |
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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 |
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reponame:Biblos-e Archivo. Repositorio Institucional de la UAM instname:Universidad Autónoma de Madrid |
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Universidad Autónoma de Madrid |
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Biblos-e Archivo. Repositorio Institucional de la UAM |
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Biblos-e Archivo. Repositorio Institucional de la UAM |
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15.812429 |