One dimensional H-1, H-2 and H-3

The ground-state properties of one-dimensional electron-spin-polarized hydrogen H-1, deuterium H-2, and tritium 3 Hare obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and...

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Detalles Bibliográficos
Autores: Vidal, A.J., Astrakharchik, Grigori|||0000-0003-0394-8094, Vranješ Markic, Leandra, Boronat, J.
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/88635
Acceso en línea:https://hdl.handle.net/2117/88635
https://dx.doi.org/10.1088/1367-2630/18/5/055013
Access Level:acceso abierto
Palabra clave:Monte Carlo method
Equations of state
Luttinger liquids
Hydrogen
Bose-Einstein condensation
quantum Monte Carlo methods
equation of state
Luttinger liquid
hydrogen
Tonks-Girardeau gas
ground-state
Anderson localization
Impenetrable bosons
gas
system
transport
energy
Montecarlo, Mètode de
Equacions d'estat
Hidrogen
Condensació de Bose-Einstein
Àrees temàtiques de la UPC::Física
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spelling One dimensional H-1, H-2 and H-3Vidal, A.J.Astrakharchik, Grigori|||0000-0003-0394-8094Vranješ Markic, LeandraBoronat, J.Monte Carlo methodEquations of stateLuttinger liquidsHydrogenBose-Einstein condensationquantum Monte Carlo methodsequation of stateLuttinger liquidhydrogenTonks-Girardeau gasBose-Einstein condensationground-stateAnderson localizationImpenetrable bosonsgashydrogensystemtransportenergyMontecarlo, Mètode deEquacions d'estatHidrogenCondensació de Bose-EinsteinÀrees temàtiques de la UPC::FísicaThe ground-state properties of one-dimensional electron-spin-polarized hydrogen H-1, deuterium H-2, and tritium 3 Hare obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and the static structure factor are obtained and interpreted within the framework of the Luttinger liquid theory. We report the density dependence of the Luttinger parameter and use it to identify different physical regimes: Bogoliubov Bose gas, super-Tonks-Girardeau gas, and quasi-crystal regimes for bosons; repulsive, attractive Fermi gas, and quasi-crystal regimes for fermions. We find that the tritium isotope is the one with the richest behavior. Our results show unambiguously the relevant role of the isotope mass in the properties of this quantum system.20162016-05-2620162016-07-08journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/88635https://dx.doi.org/10.1088/1367-2630/18/5/055013reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/886352026-05-27T15:37:01Z
dc.title.none.fl_str_mv One dimensional H-1, H-2 and H-3
title One dimensional H-1, H-2 and H-3
spellingShingle One dimensional H-1, H-2 and H-3
Vidal, A.J.
Monte Carlo method
Equations of state
Luttinger liquids
Hydrogen
Bose-Einstein condensation
quantum Monte Carlo methods
equation of state
Luttinger liquid
hydrogen
Tonks-Girardeau gas
Bose-Einstein condensation
ground-state
Anderson localization
Impenetrable bosons
gas
hydrogen
system
transport
energy
Montecarlo, Mètode de
Equacions d'estat
Hidrogen
Condensació de Bose-Einstein
Àrees temàtiques de la UPC::Física
title_short One dimensional H-1, H-2 and H-3
title_full One dimensional H-1, H-2 and H-3
title_fullStr One dimensional H-1, H-2 and H-3
title_full_unstemmed One dimensional H-1, H-2 and H-3
title_sort One dimensional H-1, H-2 and H-3
dc.creator.none.fl_str_mv Vidal, A.J.
Astrakharchik, Grigori|||0000-0003-0394-8094
Vranješ Markic, Leandra
Boronat, J.
author Vidal, A.J.
author_facet Vidal, A.J.
Astrakharchik, Grigori|||0000-0003-0394-8094
Vranješ Markic, Leandra
Boronat, J.
author_role author
author2 Astrakharchik, Grigori|||0000-0003-0394-8094
Vranješ Markic, Leandra
Boronat, J.
author2_role author
author
author
dc.subject.none.fl_str_mv Monte Carlo method
Equations of state
Luttinger liquids
Hydrogen
Bose-Einstein condensation
quantum Monte Carlo methods
equation of state
Luttinger liquid
hydrogen
Tonks-Girardeau gas
Bose-Einstein condensation
ground-state
Anderson localization
Impenetrable bosons
gas
hydrogen
system
transport
energy
Montecarlo, Mètode de
Equacions d'estat
Hidrogen
Condensació de Bose-Einstein
Àrees temàtiques de la UPC::Física
topic Monte Carlo method
Equations of state
Luttinger liquids
Hydrogen
Bose-Einstein condensation
quantum Monte Carlo methods
equation of state
Luttinger liquid
hydrogen
Tonks-Girardeau gas
Bose-Einstein condensation
ground-state
Anderson localization
Impenetrable bosons
gas
hydrogen
system
transport
energy
Montecarlo, Mètode de
Equacions d'estat
Hidrogen
Condensació de Bose-Einstein
Àrees temàtiques de la UPC::Física
description The ground-state properties of one-dimensional electron-spin-polarized hydrogen H-1, deuterium H-2, and tritium 3 Hare obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and the static structure factor are obtained and interpreted within the framework of the Luttinger liquid theory. We report the density dependence of the Luttinger parameter and use it to identify different physical regimes: Bogoliubov Bose gas, super-Tonks-Girardeau gas, and quasi-crystal regimes for bosons; repulsive, attractive Fermi gas, and quasi-crystal regimes for fermions. We find that the tritium isotope is the one with the richest behavior. Our results show unambiguously the relevant role of the isotope mass in the properties of this quantum system.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-05-26
2016
2016-07-08
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
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 https://hdl.handle.net/2117/88635
https://dx.doi.org/10.1088/1367-2630/18/5/055013
url https://hdl.handle.net/2117/88635
https://dx.doi.org/10.1088/1367-2630/18/5/055013
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

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

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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