Effective Hamiltonian theory of the geometric evolution of quantum systems

Shkolnikov, Vladislav O.; Burkard, Guido

Effective Hamiltonian theory of the geometric evolution of quantum systems

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2020

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review A. American Physical Society (APS). 2020, 101(4), 042101. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/PhysRevA.101.042101

Zusammenfassung

In this work we present an effective Hamiltonian description of the quantum dynamics of a generalized Λ system undergoing adiabatic evolution. We assume the system to be initialized in the dark subspace and show that its holonomic evolution can be viewed as a conventional Hamiltonian dynamics in an appropriately chosen extended Hilbert space. In contrast to the existing approaches, our method does not require the calculation of the non-Abelian Berry connection and can be applied without any parametrization of the dark subspace, which becomes a challenging problem with increasing system size.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

SHKOLNIKOV, Vladislav O., Guido BURKARD, 2020. Effective Hamiltonian theory of the geometric evolution of quantum systems. In: Physical Review A. American Physical Society (APS). 2020, 101(4), 042101. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/PhysRevA.101.042101

BibTex

@article{Shkolnikov2020Effec-49247,
  year={2020},
  doi={10.1103/PhysRevA.101.042101},
  title={Effective Hamiltonian theory of the geometric evolution of quantum systems},
  number={4},
  volume={101},
  issn={2469-9926},
  journal={Physical Review A},
  author={Shkolnikov, Vladislav O. and Burkard, Guido},
  note={Article Number: 042101}
}

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/123456789/49247">
    <dc:creator>Shkolnikov, Vladislav O.</dc:creator>
    <dc:language>eng</dc:language>
    <dc:contributor>Shkolnikov, Vladislav O.</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-22T08:57:02Z</dcterms:available>
    <dcterms:issued>2020</dcterms:issued>
    <dc:contributor>Burkard, Guido</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:abstract xml:lang="eng">In this work we present an effective Hamiltonian description of the quantum dynamics of a generalized Λ system undergoing adiabatic evolution. We assume the system to be initialized in the dark subspace and show that its holonomic evolution can be viewed as a conventional Hamiltonian dynamics in an appropriately chosen extended Hilbert space. In contrast to the existing approaches, our method does not require the calculation of the non-Abelian Berry connection and can be applied without any parametrization of the dark subspace, which becomes a challenging problem with increasing system size.</dcterms:abstract>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/49247"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Burkard, Guido</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-22T08:57:02Z</dc:date>
    <dcterms:title>Effective Hamiltonian theory of the geometric evolution of quantum systems</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja

Begutachtet

Ja