Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling

We consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating three quantum states. The latter can be either di erent sites of a triple-well potential or three internal states of the atoms. The bosons can tunnel between di erent states with variable tunnelling strength between two of them...

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Autores: Gallemí Camacho, Albert, Guilleumas, Montserrat, Martorell Domenech, Juan, Mayol Sánchez, Ricardo, Polls Martí, Artur, Juliá-Díaz, Bruno
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/106930
Acceso en línea:https://hdl.handle.net/2445/106930
Access Level:acceso abierto
Palabra clave:Bosons
Efecte túnel
Condensació
Tunneling (Physics)
Condensation
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spelling Fragmented condensation in Bose-Hubbard trimers with tunable tunnellingGallemí Camacho, AlbertGuilleumas, MontserratMartorell Domenech, JuanMayol Sánchez, RicardoPolls Martí, ArturJuliá-Díaz, BrunoBosonsEfecte túnelCondensacióBosonsTunneling (Physics)CondensationWe consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating three quantum states. The latter can be either di erent sites of a triple-well potential or three internal states of the atoms. The bosons can tunnel between di erent states with variable tunnelling strength between two of them. This will allow us to study; i) di erent geometrical con gurations, i.e. from a closed triangle to three aligned wells and ii) a triangular con guration with a -phase, i.e. by setting one of the tunnellings negative. By solving the corresponding three-site Bose-Hubbard Hamiltonian we obtain the ground state of the system as a function of the trap topology. We characterise the di erent ground states by means of the coherence and entanglement properties. For small repulsive interactions, fragmented condensates are found for the -phase case. These are found to be robust against small variations of the tunnelling in the small interaction regime. A low-energy e ective many-body Hamiltonian restricted to the degenerate manifold provides a compelling description of the -phase degeneration and explains the low-energy spectrum as excitations of discrete semi uxon states.Institute of Physics Pub.2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/106930Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1088/1367-2630/17/7/073014New Journal of Physics, 2015, vol. 17, p. 073014https://doi.org/10.1088/1367-2630/17/7/073014(c) IOP Publishing Ltd and Deutsche Physikalische Gesellschaft, 2015info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1069302026-05-27T06:46:51Z
dc.title.none.fl_str_mv Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
title Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
spellingShingle Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
Gallemí Camacho, Albert
Bosons
Efecte túnel
Condensació
Bosons
Tunneling (Physics)
Condensation
title_short Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
title_full Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
title_fullStr Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
title_full_unstemmed Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
title_sort Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
dc.creator.none.fl_str_mv Gallemí Camacho, Albert
Guilleumas, Montserrat
Martorell Domenech, Juan
Mayol Sánchez, Ricardo
Polls Martí, Artur
Juliá-Díaz, Bruno
author Gallemí Camacho, Albert
author_facet Gallemí Camacho, Albert
Guilleumas, Montserrat
Martorell Domenech, Juan
Mayol Sánchez, Ricardo
Polls Martí, Artur
Juliá-Díaz, Bruno
author_role author
author2 Guilleumas, Montserrat
Martorell Domenech, Juan
Mayol Sánchez, Ricardo
Polls Martí, Artur
Juliá-Díaz, Bruno
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Bosons
Efecte túnel
Condensació
Bosons
Tunneling (Physics)
Condensation
topic Bosons
Efecte túnel
Condensació
Bosons
Tunneling (Physics)
Condensation
description We consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating three quantum states. The latter can be either di erent sites of a triple-well potential or three internal states of the atoms. The bosons can tunnel between di erent states with variable tunnelling strength between two of them. This will allow us to study; i) di erent geometrical con gurations, i.e. from a closed triangle to three aligned wells and ii) a triangular con guration with a -phase, i.e. by setting one of the tunnellings negative. By solving the corresponding three-site Bose-Hubbard Hamiltonian we obtain the ground state of the system as a function of the trap topology. We characterise the di erent ground states by means of the coherence and entanglement properties. For small repulsive interactions, fragmented condensates are found for the -phase case. These are found to be robust against small variations of the tunnelling in the small interaction regime. A low-energy e ective many-body Hamiltonian restricted to the degenerate manifold provides a compelling description of the -phase degeneration and explains the low-energy spectrum as excitations of discrete semi uxon states.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/106930
url https://hdl.handle.net/2445/106930
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1088/1367-2630/17/7/073014
New Journal of Physics, 2015, vol. 17, p. 073014
https://doi.org/10.1088/1367-2630/17/7/073014
dc.rights.none.fl_str_mv (c) IOP Publishing Ltd and Deutsche Physikalische Gesellschaft, 2015
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) IOP Publishing Ltd and Deutsche Physikalische Gesellschaft, 2015
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Physics Pub.
publisher.none.fl_str_mv Institute of Physics Pub.
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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