Four-Dimensional Quantum Hall Effect with Ultracold Atoms

Price, Hannah M.; Zilberberg, Oded; Ozawa, Tomoki; Carusotto, Iacopo; Goldman, Nathan

Four-Dimensional Quantum Hall Effect with Ultracold Atoms

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2015

Autor:innen

Price, Hannah M.

Zilberberg, Oded

Ozawa, Tomoki

Carusotto, Iacopo

Goldman, Nathan

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review Letters. American Physical Society (APS). 2015, 115(19), 195303. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.115.195303

Zusammenfassung

We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accomplished through controlled transitions between internal states of atoms arranged in a 3D optical lattice. From a semiclassical analysis, we identify the linear and nonlinear quantized current responses of our 4D model, relating these to the topology of the Bloch bands. We then propose experimental protocols, based on current or center-of-mass-drift measurements, to extract the topological second Chern number. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

PRICE, Hannah M., Oded ZILBERBERG, Tomoki OZAWA, Iacopo CARUSOTTO, Nathan GOLDMAN, 2015. Four-Dimensional Quantum Hall Effect with Ultracold Atoms. In: Physical Review Letters. American Physical Society (APS). 2015, 115(19), 195303. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.115.195303

BibTex

@article{Price2015-11-06FourD-54930,
  year={2015},
  doi={10.1103/PhysRevLett.115.195303},
  title={Four-Dimensional Quantum Hall Effect with Ultracold Atoms},
  number={19},
  volume={115},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Price, Hannah M. and Zilberberg, Oded and Ozawa, Tomoki and Carusotto, Iacopo and Goldman, Nathan},
  note={Article Number: 195303}
}

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/123456789/54930">
    <dc:creator>Price, Hannah M.</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Carusotto, Iacopo</dc:creator>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:title>Four-Dimensional Quantum Hall Effect with Ultracold Atoms</dcterms:title>
    <dc:language>eng</dc:language>
    <dc:creator>Goldman, Nathan</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:contributor>Price, Hannah M.</dc:contributor>
    <dc:contributor>Carusotto, Iacopo</dc:contributor>
    <dc:creator>Ozawa, Tomoki</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-09-21T09:39:51Z</dc:date>
    <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">2021-09-21T09:39:51Z</dcterms:available>
    <dcterms:abstract xml:lang="eng">We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accomplished through controlled transitions between internal states of atoms arranged in a 3D optical lattice. From a semiclassical analysis, we identify the linear and nonlinear quantized current responses of our 4D model, relating these to the topology of the Bloch bands. We then propose experimental protocols, based on current or center-of-mass-drift measurements, to extract the topological second Chern number. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions.</dcterms:abstract>
    <dc:contributor>Zilberberg, Oded</dc:contributor>
    <dc:creator>Zilberberg, Oded</dc:creator>
    <dc:contributor>Ozawa, Tomoki</dc:contributor>
    <dcterms:issued>2015-11-06</dcterms:issued>
    <dc:contributor>Goldman, Nathan</dc:contributor>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/54930"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Nein

Begutachtet

Ja