Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons

We develop and apply the multi-layer multi-configuration time-dependent Hartree method for bosons, which represents an ab initio method for investigating the non-equilibrium quantum dynamics of multi-species bosonic systems. Its multi-layer feature allows for tailoring the wave function ansatz to de...

Full description

Bibliographic Details
Main Authors: Sven Krönke, Lushuai Cao, Oriol Vendrell, Peter Schmelcher
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/6/063018
_version_ 1797751574178562048
author Sven Krönke
Lushuai Cao
Oriol Vendrell
Peter Schmelcher
author_facet Sven Krönke
Lushuai Cao
Oriol Vendrell
Peter Schmelcher
author_sort Sven Krönke
collection DOAJ
description We develop and apply the multi-layer multi-configuration time-dependent Hartree method for bosons, which represents an ab initio method for investigating the non-equilibrium quantum dynamics of multi-species bosonic systems. Its multi-layer feature allows for tailoring the wave function ansatz to describe intra- and inter-species correlations accurately and efficiently. To demonstrate the beneficial scaling and efficiency of the method, we explored the correlated tunneling dynamics of two species with repulsive intra- and inter-species interactions, to which a third species with vanishing intra-species interaction was weakly coupled. The population imbalances of the first two species can feature a temporal equilibration and their time evolution significantly depends on the coupling to the third species. Bosons of the first and second species exhibit a bunching tendency, whose strength can be influenced by their coupling to the third species.
first_indexed 2024-03-12T16:50:30Z
format Article
id doaj.art-4eb71451e51542818265ce1b4ccbae20
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:50:30Z
publishDate 2013-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-4eb71451e51542818265ce1b4ccbae202023-08-08T11:11:25ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115606301810.1088/1367-2630/15/6/063018Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosonsSven Krönke0Lushuai Cao1Oriol Vendrell2Peter Schmelcher3Zentrum für Optische Quantentechnologien, Universität Hamburg , Luruper Chaussee 149, D-22761 Hamburg, GermanyZentrum für Optische Quantentechnologien, Universität Hamburg , Luruper Chaussee 149, D-22761 Hamburg, Germany; The Hamburg Centre for Ultrafast Imaging , Luruper Chaussee 149, D-22761 Hamburg, GermanyThe Hamburg Centre for Ultrafast Imaging , Luruper Chaussee 149, D-22761 Hamburg, Germany; Center for Free-Electron Laser Science, DESY, Notkestrasse 85, D-22607 Hamburg, GermanyZentrum für Optische Quantentechnologien, Universität Hamburg , Luruper Chaussee 149, D-22761 Hamburg, Germany; The Hamburg Centre for Ultrafast Imaging , Luruper Chaussee 149, D-22761 Hamburg, GermanyWe develop and apply the multi-layer multi-configuration time-dependent Hartree method for bosons, which represents an ab initio method for investigating the non-equilibrium quantum dynamics of multi-species bosonic systems. Its multi-layer feature allows for tailoring the wave function ansatz to describe intra- and inter-species correlations accurately and efficiently. To demonstrate the beneficial scaling and efficiency of the method, we explored the correlated tunneling dynamics of two species with repulsive intra- and inter-species interactions, to which a third species with vanishing intra-species interaction was weakly coupled. The population imbalances of the first two species can feature a temporal equilibration and their time evolution significantly depends on the coupling to the third species. Bosons of the first and second species exhibit a bunching tendency, whose strength can be influenced by their coupling to the third species.https://doi.org/10.1088/1367-2630/15/6/063018
spellingShingle Sven Krönke
Lushuai Cao
Oriol Vendrell
Peter Schmelcher
Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
New Journal of Physics
title Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
title_full Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
title_fullStr Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
title_full_unstemmed Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
title_short Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
title_sort non equilibrium quantum dynamics of ultra cold atomic mixtures the multi layer multi configuration time dependent hartree method for bosons
url https://doi.org/10.1088/1367-2630/15/6/063018
work_keys_str_mv AT svenkronke nonequilibriumquantumdynamicsofultracoldatomicmixturesthemultilayermulticonfigurationtimedependenthartreemethodforbosons
AT lushuaicao nonequilibriumquantumdynamicsofultracoldatomicmixturesthemultilayermulticonfigurationtimedependenthartreemethodforbosons
AT oriolvendrell nonequilibriumquantumdynamicsofultracoldatomicmixturesthemultilayermulticonfigurationtimedependenthartreemethodforbosons
AT peterschmelcher nonequilibriumquantumdynamicsofultracoldatomicmixturesthemultilayermulticonfigurationtimedependenthartreemethodforbosons