Type of Publication: | Journal article |
Publication status: | Published |
Author: | Shkolnikov, Vladislav O.; Burkard, Guido |
Year of publication: | 2020 |
Published in: | Physical Review A ; 101 (2020), 4. - 042101. - American Physical Society (APS). - ISSN 2469-9926. - eISSN 2469-9934 |
ArXiv-ID: | arXiv:1810.00193v2 |
DOI (citable link): | https://dx.doi.org/10.1103/PhysRevA.101.042101 |
Summary: |
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.
|
Subject (DDC): | 530 Physics |
Bibliography of Konstanz: | Yes |
Refereed: | Yes |
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |
SHKOLNIKOV, Vladislav O., Guido BURKARD, 2020. Effective Hamiltonian theory of the geometric evolution of quantum systems. In: Physical Review A. American Physical Society (APS). 101(4), 042101. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/PhysRevA.101.042101
@article{Shkolnikov2020Effec-49247, title={Effective Hamiltonian theory of the geometric evolution of quantum systems}, year={2020}, doi={10.1103/PhysRevA.101.042101}, number={4}, volume={101}, issn={2469-9926}, journal={Physical Review A}, author={Shkolnikov, Vladislav O. and Burkard, Guido}, note={Article Number: 042101} }
<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/rdf/resource/123456789/49247"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/49247"/> <dc:contributor>Shkolnikov, Vladislav O.</dc:contributor> <dcterms:issued>2020</dcterms:issued> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <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> <dc:creator>Burkard, Guido</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:language>eng</dc:language> <dc:creator>Shkolnikov, Vladislav O.</dc:creator> <dcterms:title>Effective Hamiltonian theory of the geometric evolution of quantum systems</dcterms:title> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-22T08:57:02Z</dc:date> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <dc:contributor>Burkard, Guido</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-04-22T08:57:02Z</dcterms:available> </rdf:Description> </rdf:RDF>