Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems

Lade...
Vorschaubild
Dateien
Weisbrich_2-1dzs5jrchkcnh4.pdf
Weisbrich_2-1dzs5jrchkcnh4.pdfGröße: 476.42 KBDownloads: 82
Datum
2021
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Gold
Sammlungen
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Physical Review Research. American Physical Society. 2021, 3(3), 033122. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.033122
Zusammenfassung

Topological phases of matter became a new standard to classify quantum systems in many cases, yet key quantities like the quantum geometric tensor providing local information about topological properties are still experimentally hard to access. In non-Abelian systems this accessibility to geometric properties can be even more restrictive due to the degeneracy of the states. We propose universal protocols to determine quantum geometric properties in non-Abelian systems. First, we show that for a weak resonant driving of the local parameters the coherent Rabi oscillations are related to the quantum geometric tensor. Second, we derive that in a Landau-Zener like transition the final probability of an avoided energy crossing is proportional to elements of the non-Abelian quantum geometric tensor. Our schemes suggest a way to prepare eigenstates of the quantum metric, a task that is difficult otherwise in a degenerate subspace.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
530 Physik
Schlagwörter
quantum geometric tensor, non-Abelian systems, Rabi oscillations, Landau-Zener-like transistion
Konferenz
Rezension
undefined / . - undefined, undefined
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Datensätze
Zitieren
ISO 690WEISBRICH, Hannes, Gianluca RASTELLI, Wolfgang BELZIG, 2021. Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems. In: Physical Review Research. American Physical Society. 2021, 3(3), 033122. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.033122
BibTex
@article{Weisbrich2021-05-06T14:09:52ZGeome-53651.3,
  year={2021},
  doi={10.1103/PhysRevResearch.3.033122},
  title={Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems},
  number={3},
  volume={3},
  journal={Physical Review Research},
  author={Weisbrich, Hannes and Rastelli, Gianluca and Belzig, Wolfgang},
  note={Article Number: 033122}
}
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/123456789/53651.3">
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/53651.3/1/Weisbrich_2-1dzs5jrchkcnh4.pdf"/>
    <dc:contributor>Weisbrich, Hannes</dc:contributor>
    <dc:creator>Weisbrich, Hannes</dc:creator>
    <dcterms:issued>2021-05-06T14:09:52Z</dcterms:issued>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-11T12:13:37Z</dcterms:available>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:creator>Belzig, Wolfgang</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-11T12:13:37Z</dc:date>
    <dc:creator>Rastelli, Gianluca</dc:creator>
    <dcterms:abstract xml:lang="eng">Topological phases of matter became a new standard to classify quantum systems in many cases, yet key quantities like the quantum geometric tensor providing local information about topological properties are still experimentally hard to access. In non-Abelian systems this accessibility to geometric properties can be even more restrictive due to the degeneracy of the states. We propose universal protocols to determine quantum geometric properties in non-Abelian systems. First, we show that for a weak resonant driving of the local parameters the coherent Rabi oscillations are related to the quantum geometric tensor. Second, we derive that in a Landau-Zener like transition the final probability of an avoided energy crossing is proportional to elements of the non-Abelian quantum geometric tensor. Our schemes suggest a way to prepare eigenstates of the quantum metric, a task that is difficult otherwise in a degenerate subspace.</dcterms:abstract>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53651.3"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/53651.3/1/Weisbrich_2-1dzs5jrchkcnh4.pdf"/>
    <dc:language>eng</dc:language>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Belzig, Wolfgang</dc:contributor>
    <dcterms:title>Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems</dcterms:title>
    <dc:contributor>Rastelli, Gianluca</dc:contributor>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
Diese Publikation teilen

Versionsgeschichte

Gerade angezeigt 1 - 2 von 2
VersionDatumZusammenfassung
3*
2021-11-11 11:13:46
Veröffentlichung
2021-05-11 11:27:27
* Ausgewählte Version