Stability analysis of sonic horizons in Bose-Einstein condensates

We examine the linear stability of various configurations in Bose-Einstein condensates with steplike sonic horizons. These configurations are chosen in analogy with gravitational systems with a black hole horizon, a white hole horizon, and a combination of both. We discuss the role of different boun...

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Authors: Barceló, C., Cano, A., Garay Elizondo, Luis Javier, Jannes, G.
Format: article
Publication Date:2006
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51353
Online Access:https://hdl.handle.net/20.500.14352/51353
Access Level:Open access
Keyword:51-73
Black-holes
Analog
Física-Modelos matemáticos
Física matemática
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spelling Stability analysis of sonic horizons in Bose-Einstein condensatesBarceló, C.Cano, A.Garay Elizondo, Luis JavierJannes, G.51-73Black-holesAnalogFísica-Modelos matemáticosFísica matemáticaWe examine the linear stability of various configurations in Bose-Einstein condensates with steplike sonic horizons. These configurations are chosen in analogy with gravitational systems with a black hole horizon, a white hole horizon, and a combination of both. We discuss the role of different boundary conditions in this stability analysis, paying special attention to their meaning in gravitational terms. We highlight that the stability of a given configuration, not only depends on its specific geometry, but especially on these boundary conditions. Under boundary conditions directly extrapolated from those in standard general relativity, black hole configurations, white hole configurations, and the combination of both into a black hole-white hole configuration are shown to be stable. However, we show that under other (less stringent) boundary conditions, configurations with a single black hole horizon remain stable, whereas white hole and black hole-white hole configurations develop instabilities associated to the presence of the sonic horizons.Amer Physical SocUniversidad Complutense de Madrid20062006-07-0120062006-07-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51353reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/513532026-06-02T12:44:21Z
dc.title.none.fl_str_mv Stability analysis of sonic horizons in Bose-Einstein condensates
title Stability analysis of sonic horizons in Bose-Einstein condensates
spellingShingle Stability analysis of sonic horizons in Bose-Einstein condensates
Barceló, C.
51-73
Black-holes
Analog
Física-Modelos matemáticos
Física matemática
title_short Stability analysis of sonic horizons in Bose-Einstein condensates
title_full Stability analysis of sonic horizons in Bose-Einstein condensates
title_fullStr Stability analysis of sonic horizons in Bose-Einstein condensates
title_full_unstemmed Stability analysis of sonic horizons in Bose-Einstein condensates
title_sort Stability analysis of sonic horizons in Bose-Einstein condensates
dc.creator.none.fl_str_mv Barceló, C.
Cano, A.
Garay Elizondo, Luis Javier
Jannes, G.
author Barceló, C.
author_facet Barceló, C.
Cano, A.
Garay Elizondo, Luis Javier
Jannes, G.
author_role author
author2 Cano, A.
Garay Elizondo, Luis Javier
Jannes, G.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Black-holes
Analog
Física-Modelos matemáticos
Física matemática
topic 51-73
Black-holes
Analog
Física-Modelos matemáticos
Física matemática
description We examine the linear stability of various configurations in Bose-Einstein condensates with steplike sonic horizons. These configurations are chosen in analogy with gravitational systems with a black hole horizon, a white hole horizon, and a combination of both. We discuss the role of different boundary conditions in this stability analysis, paying special attention to their meaning in gravitational terms. We highlight that the stability of a given configuration, not only depends on its specific geometry, but especially on these boundary conditions. Under boundary conditions directly extrapolated from those in standard general relativity, black hole configurations, white hole configurations, and the combination of both into a black hole-white hole configuration are shown to be stable. However, we show that under other (less stringent) boundary conditions, configurations with a single black hole horizon remain stable, whereas white hole and black hole-white hole configurations develop instabilities associated to the presence of the sonic horizons.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-07-01
2006
2006-07-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51353
url https://hdl.handle.net/20.500.14352/51353
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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