Measurement of Chern numbers through center-of-mass responses

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

Measurement of Chern numbers through center-of-mass responses

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2016

Autor:innen

Price, Hannah M.

Zilberberg, Oded

Ozawa, Tomoki

Carusotto, Iacopo

Goldman, Nathan

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review B ; 93 (2016), 24. - 245113. - American Physical Society (APS). - ISSN 2469-9950. - eISSN 2469-9969

Zusammenfassung

Probing the center-of-mass of an ultracold atomic cloud can be used to measure Chern numbers, the topological invariants underlying the quantum Hall effects. In this work, we show how such center-of-mass observables can have a much richer dependence on topological invariants than previously discussed. In fact, the response of the center of mass depends not only on the current density, typically measured in a solid-state system, but also on the particle density, which itself can be sensitive to the topology of the band structure. We apply a semiclassical approach, supported by numerical simulations, to highlight the key differences between center-of-mass responses and more standard conductivity measurements. We illustrate this by analyzing both the two- and four-dimensional quantum Hall effects. These results have important implications for experiments in engineered topological systems, such as ultracold gases and photonics.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

PRICE, Hannah M., Oded ZILBERBERG, Tomoki OZAWA, Iacopo CARUSOTTO, Nathan GOLDMAN, 2016. Measurement of Chern numbers through center-of-mass responses. In: Physical Review B. American Physical Society (APS). 93(24), 245113. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.93.245113

BibTex

@article{Price2016Measu-54934,
  year={2016},
  doi={10.1103/PhysRevB.93.245113},
  title={Measurement of Chern numbers through center-of-mass responses},
  number={24},
  volume={93},
  issn={2469-9950},
  journal={Physical Review B},
  author={Price, Hannah M. and Zilberberg, Oded and Ozawa, Tomoki and Carusotto, Iacopo and Goldman, Nathan},
  note={Article Number: 245113}
}

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/123456789/54934">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-09-21T11:27:00Z</dcterms:available>
    <dc:language>eng</dc:language>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:title>Measurement of Chern numbers through center-of-mass responses</dcterms:title>
    <dc:creator>Zilberberg, Oded</dc:creator>
    <dc:contributor>Price, Hannah M.</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-09-21T11:27:00Z</dc:date>
    <dc:contributor>Ozawa, Tomoki</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:creator>Ozawa, Tomoki</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/54934"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Carusotto, Iacopo</dc:creator>
    <dc:contributor>Carusotto, Iacopo</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:contributor>Goldman, Nathan</dc:contributor>
    <dcterms:abstract xml:lang="eng">Probing the center-of-mass of an ultracold atomic cloud can be used to measure Chern numbers, the topological invariants underlying the quantum Hall effects. In this work, we show how such center-of-mass observables can have a much richer dependence on topological invariants than previously discussed. In fact, the response of the center of mass depends not only on the current density, typically measured in a solid-state system, but also on the particle density, which itself can be sensitive to the topology of the band structure. We apply a semiclassical approach, supported by numerical simulations, to highlight the key differences between center-of-mass responses and more standard conductivity measurements. We illustrate this by analyzing both the two- and four-dimensional quantum Hall effects. These results have important implications for experiments in engineered topological systems, such as ultracold gases and photonics.</dcterms:abstract>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Price, Hannah M.</dc:creator>
    <dcterms:issued>2016</dcterms:issued>
    <dc:contributor>Zilberberg, Oded</dc:contributor>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Goldman, Nathan</dc:creator>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Nein

Begutachtet

Ja