Publikation: Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Swiss National Science Foundation: PP00P2_163818
Deutsche Forschungsgemeinschaft (DFG): 449653034
Deutsche Forschungsgemeinschaft (DFG): SFB1432
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
Zusammenfassung
Networks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of coexisting stationary states. The plethora of states manifest via a series of bifurcations, including bifurcations that proliferate purely unstable solutions. Here we demonstrate that the latter take a fundamental role in the stochastic dynamics of the system. Specifically, they determine the switching paths and the switching rates between stable solutions. We demonstrate experimentally the impact of the added unstable states on noise-activated switching dynamics in a network of two coupled parametric resonators.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
Zitieren
ISO 690
HEUGEL, Toni L., Ramasubramanian CHITRA, Alexander EICHLER, Oded ZILBERBERG, 2024. Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators. In: Physical Review E. American Physical Society (APS). 2024, 109(6), 064308. ISSN 2470-0045. eISSN 2470-0053. Verfügbar unter: doi: 10.1103/physreve.109.064308BibTex
@article{Heugel2024Proli-70328, year={2024}, doi={10.1103/physreve.109.064308}, title={Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators}, number={6}, volume={109}, issn={2470-0045}, journal={Physical Review E}, author={Heugel, Toni L. and Chitra, Ramasubramanian and Eichler, Alexander and Zilberberg, Oded}, note={Article Number: 064308} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/70328"> <dcterms:issued>2024</dcterms:issued> <dc:contributor>Eichler, Alexander</dc:contributor> <dc:contributor>Zilberberg, Oded</dc:contributor> <dc:creator>Heugel, Toni L.</dc:creator> <dc:language>eng</dc:language> <dcterms:title>Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics in two coupled Kerr parametric oscillators</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-07-05T08:45:43Z</dcterms:available> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-07-05T08:45:43Z</dc:date> <dc:creator>Zilberberg, Oded</dc:creator> <dc:contributor>Chitra, Ramasubramanian</dc:contributor> <dc:contributor>Heugel, Toni L.</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Eichler, Alexander</dc:creator> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <dc:creator>Chitra, Ramasubramanian</dc:creator> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/70328"/> <dcterms:abstract>Networks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of coexisting stationary states. The plethora of states manifest via a series of bifurcations, including bifurcations that proliferate purely unstable solutions. Here we demonstrate that the latter take a fundamental role in the stochastic dynamics of the system. Specifically, they determine the switching paths and the switching rates between stable solutions. We demonstrate experimentally the impact of the added unstable states on noise-activated switching dynamics in a network of two coupled parametric resonators.</dcterms:abstract> </rdf:Description> </rdf:RDF>