Cargando…

Dynamical structure factors of dynamical quantum simulators

The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description of strongly correlated systems. However, despite its long-standing importance, it is exceedingly difficult in generic cases to numerically calculate it, ensuring t...

Descripción completa

Detalles Bibliográficos
Autores principales: Baez, Maria Laura, Goihl, Marcel, Haferkamp, Jonas, Bermejo-Vega, Juani, Gluza, Marek, Eisert, Jens
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7585022/
https://www.ncbi.nlm.nih.gov/pubmed/33008881
http://dx.doi.org/10.1073/pnas.2006103117
_version_ 1783599701528936448
author Baez, Maria Laura
Goihl, Marcel
Haferkamp, Jonas
Bermejo-Vega, Juani
Gluza, Marek
Eisert, Jens
author_facet Baez, Maria Laura
Goihl, Marcel
Haferkamp, Jonas
Bermejo-Vega, Juani
Gluza, Marek
Eisert, Jens
author_sort Baez, Maria Laura
collection PubMed
description The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description of strongly correlated systems. However, despite its long-standing importance, it is exceedingly difficult in generic cases to numerically calculate it, ensuring that the necessary approximations involved yield a correct result. Acknowledging this practical difficulty, we discuss in what way results on the hardness of classically tracking time evolution under local Hamiltonians are precisely inherited by dynamical structure factors and, hence, offer in the same way the potential computational capabilities that dynamical quantum simulators do: We argue that practically accessible variants of the dynamical structure factors are bounded-error quantum polynomial time ([Formula: see text])-hard for general local Hamiltonians. Complementing these conceptual insights, we improve upon a novel, readily available measurement setup allowing for the determination of the dynamical structure factor in different architectures, including arrays of ultra-cold atoms, trapped ions, Rydberg atoms, and superconducting qubits. Our results suggest that quantum simulations employing near-term noisy intermediate-scale quantum devices should allow for the observation of features of dynamical structure factors of correlated quantum matter in the presence of experimental imperfections, for larger system sizes than what is achievable by classical simulation.
format Online
Article
Text
id pubmed-7585022
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher National Academy of Sciences
record_format MEDLINE/PubMed
spelling pubmed-75850222020-10-30 Dynamical structure factors of dynamical quantum simulators Baez, Maria Laura Goihl, Marcel Haferkamp, Jonas Bermejo-Vega, Juani Gluza, Marek Eisert, Jens Proc Natl Acad Sci U S A Physical Sciences The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description of strongly correlated systems. However, despite its long-standing importance, it is exceedingly difficult in generic cases to numerically calculate it, ensuring that the necessary approximations involved yield a correct result. Acknowledging this practical difficulty, we discuss in what way results on the hardness of classically tracking time evolution under local Hamiltonians are precisely inherited by dynamical structure factors and, hence, offer in the same way the potential computational capabilities that dynamical quantum simulators do: We argue that practically accessible variants of the dynamical structure factors are bounded-error quantum polynomial time ([Formula: see text])-hard for general local Hamiltonians. Complementing these conceptual insights, we improve upon a novel, readily available measurement setup allowing for the determination of the dynamical structure factor in different architectures, including arrays of ultra-cold atoms, trapped ions, Rydberg atoms, and superconducting qubits. Our results suggest that quantum simulations employing near-term noisy intermediate-scale quantum devices should allow for the observation of features of dynamical structure factors of correlated quantum matter in the presence of experimental imperfections, for larger system sizes than what is achievable by classical simulation. National Academy of Sciences 2020-10-20 2020-10-02 /pmc/articles/PMC7585022/ /pubmed/33008881 http://dx.doi.org/10.1073/pnas.2006103117 Text en Copyright © 2020 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/ https://creativecommons.org/licenses/by-nc-nd/4.0/This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) .
spellingShingle Physical Sciences
Baez, Maria Laura
Goihl, Marcel
Haferkamp, Jonas
Bermejo-Vega, Juani
Gluza, Marek
Eisert, Jens
Dynamical structure factors of dynamical quantum simulators
title Dynamical structure factors of dynamical quantum simulators
title_full Dynamical structure factors of dynamical quantum simulators
title_fullStr Dynamical structure factors of dynamical quantum simulators
title_full_unstemmed Dynamical structure factors of dynamical quantum simulators
title_short Dynamical structure factors of dynamical quantum simulators
title_sort dynamical structure factors of dynamical quantum simulators
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7585022/
https://www.ncbi.nlm.nih.gov/pubmed/33008881
http://dx.doi.org/10.1073/pnas.2006103117
work_keys_str_mv AT baezmarialaura dynamicalstructurefactorsofdynamicalquantumsimulators
AT goihlmarcel dynamicalstructurefactorsofdynamicalquantumsimulators
AT haferkampjonas dynamicalstructurefactorsofdynamicalquantumsimulators
AT bermejovegajuani dynamicalstructurefactorsofdynamicalquantumsimulators
AT gluzamarek dynamicalstructurefactorsofdynamicalquantumsimulators
AT eisertjens dynamicalstructurefactorsofdynamicalquantumsimulators