Prethermalization and glassiness in the bosonic Hubbard model

Autores
Salazar Landea, Ignacio; Nessi, Emilio Nicolás
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the nonequilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system develops in two steps for sufficiently large interaction strengths: after a fast relaxation the system gets caught in metastable prethermalized states that precede the true equilibrium state. We find that the lifetime of these prethermalized states increases by several orders of magnitude as we increase the on-site interaction strength beyond a threshold value. We show that the emergence of long-lived metastable states in the quantum dynamics is associated with an ergodic (active) to nonergodic (inactive) dynamical phase transition in the ensemble of classical trajectories that contribute to the semiclassical limit. This dynamical phase transition, which is very similar to that found in different classical models of glasses, is closely related to the dynamic heterogeneity of the classical relaxation.
Instituto de Física La Plata
Materia
Física
Hubbard model
Physics
Mott insulator
Phase transition
Quantum dynamics
Superfluidity
Relaxation (physics)
Semiclassical physics
Quantum mechanics
Non-equilibrium thermodynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125805

id SEDICI_81baaa6c5f789e36a25d1f34d0ffd053
oai_identifier_str oai:sedici.unlp.edu.ar:10915/125805
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Prethermalization and glassiness in the bosonic Hubbard modelSalazar Landea, IgnacioNessi, Emilio NicolásFísicaHubbard modelPhysicsMott insulatorPhase transitionQuantum dynamicsSuperfluidityRelaxation (physics)Semiclassical physicsQuantum mechanicsNon-equilibrium thermodynamicsWe investigate the nonequilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system develops in two steps for sufficiently large interaction strengths: after a fast relaxation the system gets caught in metastable prethermalized states that precede the true equilibrium state. We find that the lifetime of these prethermalized states increases by several orders of magnitude as we increase the on-site interaction strength beyond a threshold value. We show that the emergence of long-lived metastable states in the quantum dynamics is associated with an ergodic (active) to nonergodic (inactive) dynamical phase transition in the ensemble of classical trajectories that contribute to the semiclassical limit. This dynamical phase transition, which is very similar to that found in different classical models of glasses, is closely related to the dynamic heterogeneity of the classical relaxation.Instituto de Física La Plata2015-06-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125805enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.91.063601info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:14Zoai:sedici.unlp.edu.ar:10915/125805Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:14.349SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Prethermalization and glassiness in the bosonic Hubbard model
title Prethermalization and glassiness in the bosonic Hubbard model
spellingShingle Prethermalization and glassiness in the bosonic Hubbard model
Salazar Landea, Ignacio
Física
Hubbard model
Physics
Mott insulator
Phase transition
Quantum dynamics
Superfluidity
Relaxation (physics)
Semiclassical physics
Quantum mechanics
Non-equilibrium thermodynamics
title_short Prethermalization and glassiness in the bosonic Hubbard model
title_full Prethermalization and glassiness in the bosonic Hubbard model
title_fullStr Prethermalization and glassiness in the bosonic Hubbard model
title_full_unstemmed Prethermalization and glassiness in the bosonic Hubbard model
title_sort Prethermalization and glassiness in the bosonic Hubbard model
dc.creator.none.fl_str_mv Salazar Landea, Ignacio
Nessi, Emilio Nicolás
author Salazar Landea, Ignacio
author_facet Salazar Landea, Ignacio
Nessi, Emilio Nicolás
author_role author
author2 Nessi, Emilio Nicolás
author2_role author
dc.subject.none.fl_str_mv Física
Hubbard model
Physics
Mott insulator
Phase transition
Quantum dynamics
Superfluidity
Relaxation (physics)
Semiclassical physics
Quantum mechanics
Non-equilibrium thermodynamics
topic Física
Hubbard model
Physics
Mott insulator
Phase transition
Quantum dynamics
Superfluidity
Relaxation (physics)
Semiclassical physics
Quantum mechanics
Non-equilibrium thermodynamics
dc.description.none.fl_txt_mv We investigate the nonequilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system develops in two steps for sufficiently large interaction strengths: after a fast relaxation the system gets caught in metastable prethermalized states that precede the true equilibrium state. We find that the lifetime of these prethermalized states increases by several orders of magnitude as we increase the on-site interaction strength beyond a threshold value. We show that the emergence of long-lived metastable states in the quantum dynamics is associated with an ergodic (active) to nonergodic (inactive) dynamical phase transition in the ensemble of classical trajectories that contribute to the semiclassical limit. This dynamical phase transition, which is very similar to that found in different classical models of glasses, is closely related to the dynamic heterogeneity of the classical relaxation.
Instituto de Física La Plata
description We investigate the nonequilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system develops in two steps for sufficiently large interaction strengths: after a fast relaxation the system gets caught in metastable prethermalized states that precede the true equilibrium state. We find that the lifetime of these prethermalized states increases by several orders of magnitude as we increase the on-site interaction strength beyond a threshold value. We show that the emergence of long-lived metastable states in the quantum dynamics is associated with an ergodic (active) to nonergodic (inactive) dynamical phase transition in the ensemble of classical trajectories that contribute to the semiclassical limit. This dynamical phase transition, which is very similar to that found in different classical models of glasses, is closely related to the dynamic heterogeneity of the classical relaxation.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/125805
url http://sedici.unlp.edu.ar/handle/10915/125805
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.91.063601
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1844616182160687104
score 13.070432