Finite-time Stückelberg interferometry with nanomechanical modes

Seitner, Maximilian; Ribeiro, Hugo; Kölbl, Johannes; Faust, Thomas; Weig, Eva M.

Finite-time Stückelberg interferometry with nanomechanical modes

Dateien

Seitner_0-406761.pdfGröße: 1.98 MBDownloads: 222

Datum

2017

Autor:innen

Seitner, Maximilian

Ribeiro, Hugo

Kölbl, Johannes

Faust, Thomas

Weig, Eva M.

Open Access-Veröffentlichung

Open Access Gold

Sammlungen

Physik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

New Journal of Physics. 2017, 19(3), 033011. eISSN 1367-2630. Available under: doi: 10.1088/1367-2630/aa5a3f

Zusammenfassung

Stückelberg interferometry describes the interference of two strongly coupled modes during a double passage through an avoided energy level crossing. In this work, we investigate finite-time effects in Stückelberg interferometry and discuss the exact analytical solution of the double passage Stückelberg problem by expanding the finite-time solution of the Landau–Zener problem. Approximating the return probability amplitudes of the double passage in distinct limits reveals uncharted parameter regimes of Stückelberg interferometry where finite-time effects affect the coherent exchange of energy. We find the long-time limit of the exact solution to formally coincide with the well-established adiabatic impulse model which is, to the best of our knowledge, the only regime of Stückelberg interferometry reported so far. Experimentally, we study all predicted regimes using a purely classical, strongly coupled nanomechanical two-mode system of high quality factor. The classical two-mode system consists of the in-plane and out-of-plane fundamental flexural mode of a high stress silicon nitride string resonator, coupled via electric gradient fields. We exploit our experimental and theoretical findings by studying the onset of Stückelberg interference in dependence of the characteristic system control parameters and obtain characteristic excitation oscillations between the two modes even without the explicit need of traversing the avoided crossing. The presented findings are not limited to classical mechanical two-mode systems but can be applied to every strongly coupled (quantum) two-level system, for example a spin-1/2 system or superconducting qubit.

Fachgebiet (DDC)

530 Physik

Schlagwörter

Stückelberg interferometry, nanoelectromechanical systems, strong coupling, finite times

Zitieren

ISO 690

SEITNER, Maximilian, Hugo RIBEIRO, Johannes KÖLBL, Thomas FAUST, Eva M. WEIG, 2017. Finite-time Stückelberg interferometry with nanomechanical modes. In: New Journal of Physics. 2017, 19(3), 033011. eISSN 1367-2630. Available under: doi: 10.1088/1367-2630/aa5a3f

BibTex

@article{Seitner2017-03-06Finit-38779,
  year={2017},
  doi={10.1088/1367-2630/aa5a3f},
  title={Finite-time Stückelberg interferometry with nanomechanical modes},
  number={3},
  volume={19},
  journal={New Journal of Physics},
  author={Seitner, Maximilian and Ribeiro, Hugo and Kölbl, Johannes and Faust, Thomas and Weig, Eva M.},
  note={Article Number: 033011}
}

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/123456789/38779">
    <dcterms:abstract xml:lang="eng">Stückelberg interferometry describes the interference of two strongly coupled modes during a double passage through an avoided energy level crossing. In this work, we investigate finite-time effects in Stückelberg interferometry and discuss the exact analytical solution of the double passage Stückelberg problem by expanding the finite-time solution of the Landau–Zener problem. Approximating the return probability amplitudes of the double passage in distinct limits reveals uncharted parameter regimes of Stückelberg interferometry where finite-time effects affect the coherent exchange of energy. We find the long-time limit of the exact solution to formally coincide with the well-established adiabatic impulse model which is, to the best of our knowledge, the only regime of Stückelberg interferometry reported so far. Experimentally, we study all predicted regimes using a purely classical, strongly coupled nanomechanical two-mode system of high quality factor. The classical two-mode system consists of the in-plane and out-of-plane fundamental flexural mode of a high stress silicon nitride string resonator, coupled via electric gradient fields. We exploit our experimental and theoretical findings by studying the onset of Stückelberg interference in dependence of the characteristic system control parameters and obtain characteristic excitation oscillations between the two modes even without the explicit need of traversing the avoided crossing. The presented findings are not limited to classical mechanical two-mode systems but can be applied to every strongly coupled (quantum) two-level system, for example a spin-1/2 system or superconducting qubit.</dcterms:abstract>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:contributor>Weig, Eva M.</dc:contributor>
    <dc:contributor>Kölbl, Johannes</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/38779"/>
    <dc:creator>Ribeiro, Hugo</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/38779/1/Seitner_0-406761.pdf"/>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/3.0/"/>
    <dc:contributor>Seitner, Maximilian</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-08T12:57:43Z</dc:date>
    <dc:creator>Weig, Eva M.</dc:creator>
    <dc:creator>Seitner, Maximilian</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-05-08T12:57:43Z</dcterms:available>
    <dc:creator>Faust, Thomas</dc:creator>
    <dc:rights>Attribution 3.0 Unported</dc:rights>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:language>eng</dc:language>
    <dcterms:issued>2017-03-06</dcterms:issued>
    <dcterms:title>Finite-time Stückelberg interferometry with nanomechanical modes</dcterms:title>
    <dc:creator>Kölbl, Johannes</dc:creator>
    <dc:contributor>Ribeiro, Hugo</dc:contributor>
    <dc:contributor>Faust, Thomas</dc:contributor>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/38779/1/Seitner_0-406761.pdf"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja