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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
National Academy of Sciences
2020
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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 |
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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 |
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