Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice

We study the dynamics of a one-dimensional Bose gas at unit filling in both shallow and deep optical lattices and obtain the dynamic structure factor S(k,¿) by monitoring the linear response to a weak probe pulse. We introduce a new procedure, based on the time-dependent variational Monte Carlo meth...

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Authors: Gartner, Mathias, Mazzanti Castrillejo, Fernando Pablo|||0000-0001-6641-0609, Zillich, Robert E.
Format: article
Publication Date:2022
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/375330
Online Access:https://hdl.handle.net/2117/375330
https://dx.doi.org/10.21468/SciPostPhys.13.2.025
Access Level:Open access
Keyword:Bosons
Monte Carlo method
One-dimensional Bose gas
Optical lattice
Montecarlo, Mètode de
Àrees temàtiques de la UPC::Física
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spelling Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical latticeGartner, MathiasMazzanti Castrillejo, Fernando Pablo|||0000-0001-6641-0609Zillich, Robert E.BosonsMonte Carlo methodOne-dimensional Bose gasBosonsOptical latticeBosonsMontecarlo, Mètode deÀrees temàtiques de la UPC::FísicaWe study the dynamics of a one-dimensional Bose gas at unit filling in both shallow and deep optical lattices and obtain the dynamic structure factor S(k,¿) by monitoring the linear response to a weak probe pulse. We introduce a new procedure, based on the time-dependent variational Monte Carlo method (tVMC), which allows to evolve the system in real time, using as a variational model a Jastrow-Feenberg wave function that includes pair correlations. Comparison with exact diagonalization results of S(k,¿) obtained on a lattice in the Bose-Hubbard limit shows good agreement of the dispersion relation for sufficiently deep optical lattices, while for shallow lattices we observe the influence of higher Bloch bands. We also investigate non-linear response to strong pulses. From the power spectrum of the density fluctuations we obtain the excitation spectrum, albeit broadened, by higher harmonic generation after a strong pulse with a single low wave number. As a remarkable feature of our simulations we furthermore demonstrate that the full excitation spectrum can be retrieved from the power spectrum of the density fluctuations due to the stochastic noise inherent in any Monte Carlo method, without applying an actual perturbation.20222022-08-1820222022-10-31journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/375330https://dx.doi.org/10.21468/SciPostPhys.13.2.025reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3753302026-05-27T15:37:01Z
dc.title.none.fl_str_mv Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
title Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
spellingShingle Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
Gartner, Mathias
Bosons
Monte Carlo method
One-dimensional Bose gas
Bosons
Optical lattice
Bosons
Montecarlo, Mètode de
Àrees temàtiques de la UPC::Física
title_short Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
title_full Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
title_fullStr Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
title_full_unstemmed Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
title_sort Time-dependent variational Monte Carlo study of the dynamic response of bosons in an optical lattice
dc.creator.none.fl_str_mv Gartner, Mathias
Mazzanti Castrillejo, Fernando Pablo|||0000-0001-6641-0609
Zillich, Robert E.
author Gartner, Mathias
author_facet Gartner, Mathias
Mazzanti Castrillejo, Fernando Pablo|||0000-0001-6641-0609
Zillich, Robert E.
author_role author
author2 Mazzanti Castrillejo, Fernando Pablo|||0000-0001-6641-0609
Zillich, Robert E.
author2_role author
author
dc.subject.none.fl_str_mv Bosons
Monte Carlo method
One-dimensional Bose gas
Bosons
Optical lattice
Bosons
Montecarlo, Mètode de
Àrees temàtiques de la UPC::Física
topic Bosons
Monte Carlo method
One-dimensional Bose gas
Bosons
Optical lattice
Bosons
Montecarlo, Mètode de
Àrees temàtiques de la UPC::Física
description We study the dynamics of a one-dimensional Bose gas at unit filling in both shallow and deep optical lattices and obtain the dynamic structure factor S(k,¿) by monitoring the linear response to a weak probe pulse. We introduce a new procedure, based on the time-dependent variational Monte Carlo method (tVMC), which allows to evolve the system in real time, using as a variational model a Jastrow-Feenberg wave function that includes pair correlations. Comparison with exact diagonalization results of S(k,¿) obtained on a lattice in the Bose-Hubbard limit shows good agreement of the dispersion relation for sufficiently deep optical lattices, while for shallow lattices we observe the influence of higher Bloch bands. We also investigate non-linear response to strong pulses. From the power spectrum of the density fluctuations we obtain the excitation spectrum, albeit broadened, by higher harmonic generation after a strong pulse with a single low wave number. As a remarkable feature of our simulations we furthermore demonstrate that the full excitation spectrum can be retrieved from the power spectrum of the density fluctuations due to the stochastic noise inherent in any Monte Carlo method, without applying an actual perturbation.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-08-18
2022
2022-10-31
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/2117/375330
https://dx.doi.org/10.21468/SciPostPhys.13.2.025
url https://hdl.handle.net/2117/375330
https://dx.doi.org/10.21468/SciPostPhys.13.2.025
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
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
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