Supersolid-superfluid phase separation in the extended Bose-Hubbard model

Recent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by mechanical instability. Numerical simulations are performed by means of t...

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Autores: Kottmann, Korbinian Gebhard, Haller, Andreas, Acín dal Maschio, Antonio, Astrakharchik, Grigori|||0000-0003-0394-8094, Lewenstein, Maciej
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/366694
Acceso en línea:https://hdl.handle.net/2117/366694
https://dx.doi.org/10.1103/PhysRevB.104.174514
Access Level:acceso abierto
Palabra clave:Superfluidity
Condensed matter
Hubbard model
Superfluïdesa
Matèria condensada
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spelling Supersolid-superfluid phase separation in the extended Bose-Hubbard modelKottmann, Korbinian GebhardHaller, AndreasAcín dal Maschio, AntonioAstrakharchik, Grigori|||0000-0003-0394-8094Lewenstein, MaciejSuperfluidityCondensed matterHubbard modelSuperfluïdesaMatèria condensadaRecent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by mechanical instability. Numerical simulations are performed by means of the density matrix renormalization group algorithm in terms of matrix product states. In the phase-separated phase and the adjacent homogeneous superfluid and supersolid phases, we find peculiar spatial patterns in the entanglement spectrum and string-order correlation functions and show that they survive in the thermodynamic limit. In particular, we demonstrate that the elementary excitations of the homogeneous superfluid with enhanced periodic modulations are phonons, find the central charge to be c = 1 , and show that the velocity of sound, extracted from the intrinsic level splitting for finite systems, matches with the propagation velocity of local excitations in dynamical simulations. This suggests that the low-energy spectrum of the phase under investigation is effectively captured by a spinless Luttinger liquid, for which we find consistent results between the Luttinger parameter obtained from the linear dependence of the structure factor and the algebraic decay of the one-body density matrix.We like to thank P. Massignan for helpful insights and discussions. K.K. wants to thank Johannes Hauschild for his continuous help and dedication on the TeNPy forum. This work was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 713729 (K.K.), the ERC AdG’s NOQIA and CERQUTE, Spanish MINECO (FIDEUA PID2019-106901GBI00/10.13039 / 501100011033, FIS2020-TRANQI, Severo Ochoa CEX2019-000910-S and Retos Quspin), the Generalitat de Catalunya (CERCA Program, SGR 1341, SGR 1381 and QuantumCAT), Fundacio Privada Cellex and Fundacio Mir-Puig, MINECO-EU QUANTERA MAQS (funded by State Research Agency (AEI) PCI2019-111828-2 / 10.13039/501100011033), EU Horizon 2020 FET-OPEN OPTOLogic (Grant No 899794), and the National Science Centre, PolandSymfonia Grant No. 2016/20/W/ST4/00314, Marie Sklodowska-Curie grant STRETCH No 101029393Peer ReviewedAmerican Physical Society (APS)20212021-11-0120222022-05-03journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/366694https://dx.doi.org/10.1103/PhysRevB.104.174514reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 713729 ICFOstepstone PhD Programme for Early-Stage Researchers in PhotonicsEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 833801 NOvel Quantum simulators – connectIng AreasEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 834266 Certification of quantum technologiesEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 101017733 QuantERA II ERA-NET Cofund in Quantum TechnologiesEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 899794 Optical Topologic LogicEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 101029393 Structured electric-dipole-based chiralityopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3666942026-05-27T15:37:01Z
dc.title.none.fl_str_mv Supersolid-superfluid phase separation in the extended Bose-Hubbard model
title Supersolid-superfluid phase separation in the extended Bose-Hubbard model
spellingShingle Supersolid-superfluid phase separation in the extended Bose-Hubbard model
Kottmann, Korbinian Gebhard
Superfluidity
Condensed matter
Hubbard model
Superfluïdesa
Matèria condensada
title_short Supersolid-superfluid phase separation in the extended Bose-Hubbard model
title_full Supersolid-superfluid phase separation in the extended Bose-Hubbard model
title_fullStr Supersolid-superfluid phase separation in the extended Bose-Hubbard model
title_full_unstemmed Supersolid-superfluid phase separation in the extended Bose-Hubbard model
title_sort Supersolid-superfluid phase separation in the extended Bose-Hubbard model
dc.creator.none.fl_str_mv Kottmann, Korbinian Gebhard
Haller, Andreas
Acín dal Maschio, Antonio
Astrakharchik, Grigori|||0000-0003-0394-8094
Lewenstein, Maciej
author Kottmann, Korbinian Gebhard
author_facet Kottmann, Korbinian Gebhard
Haller, Andreas
Acín dal Maschio, Antonio
Astrakharchik, Grigori|||0000-0003-0394-8094
Lewenstein, Maciej
author_role author
author2 Haller, Andreas
Acín dal Maschio, Antonio
Astrakharchik, Grigori|||0000-0003-0394-8094
Lewenstein, Maciej
author2_role author
author
author
author
dc.subject.none.fl_str_mv Superfluidity
Condensed matter
Hubbard model
Superfluïdesa
Matèria condensada
topic Superfluidity
Condensed matter
Hubbard model
Superfluïdesa
Matèria condensada
description Recent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by mechanical instability. Numerical simulations are performed by means of the density matrix renormalization group algorithm in terms of matrix product states. In the phase-separated phase and the adjacent homogeneous superfluid and supersolid phases, we find peculiar spatial patterns in the entanglement spectrum and string-order correlation functions and show that they survive in the thermodynamic limit. In particular, we demonstrate that the elementary excitations of the homogeneous superfluid with enhanced periodic modulations are phonons, find the central charge to be c = 1 , and show that the velocity of sound, extracted from the intrinsic level splitting for finite systems, matches with the propagation velocity of local excitations in dynamical simulations. This suggests that the low-energy spectrum of the phase under investigation is effectively captured by a spinless Luttinger liquid, for which we find consistent results between the Luttinger parameter obtained from the linear dependence of the structure factor and the algebraic decay of the one-body density matrix.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-11-01
2022
2022-05-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/366694
https://dx.doi.org/10.1103/PhysRevB.104.174514
url https://hdl.handle.net/2117/366694
https://dx.doi.org/10.1103/PhysRevB.104.174514
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 713729 ICFOstepstone PhD Programme for Early-Stage Researchers in Photonics
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 833801 NOvel Quantum simulators – connectIng Areas
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 834266 Certification of quantum technologies
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 101017733 QuantERA II ERA-NET Cofund in Quantum Technologies
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 899794 Optical Topologic Logic
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 101029393 Structured electric-dipole-based chirality
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society (APS)
publisher.none.fl_str_mv American Physical Society (APS)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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repository.mail.fl_str_mv
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