Shortcut to synchronization in classical and quantum systems.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
09 Jan 2023
09 Jan 2023
Historique:
received:
26
10
2022
accepted:
26
12
2022
entrez:
9
1
2023
pubmed:
10
1
2023
medline:
10
1
2023
Statut:
epublish
Résumé
Synchronization is a major concept in nonlinear physics. In a large number of systems, it is observed at long times for a sinusoidal excitation. In this paper, we design a transiently non-sinusoidal driving to reach the synchronization regime more quickly. We exemplify an inverse engineering method to solve this issue on the classical Van der Pol oscillator. This approach cannot be directly transposed to the quantum case as the system is no longer point-like in phase space. We explain how to adapt our method by an iterative procedure to account for the finite-size quantum distribution in phase space. We show that the resulting driving yields a density matrix close to the synchronized one according to the trace distance. Our method provides an example of fast control of a nonlinear quantum system, and raises the question of the quantum speed limit concept in the presence of nonlinearities.
Identifiants
pubmed: 36624171
doi: 10.1038/s41598-022-27130-w
pii: 10.1038/s41598-022-27130-w
pmc: PMC9829672
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
453Subventions
Organisme : Agence Nationale de la Recherche
ID : ANR-18-CE30-0013
Organisme : Conselho Nacional de Desenvolvimento Científico e Tecnológico
ID : 310265/2020-7
Organisme : Fundaçao de Amparo a Pesquisa do Estado do Rio de Janeiro
ID : 210.296/2019
Informations de copyright
© 2023. The Author(s).
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