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  <doc>
    <id>4287</id>
    <completedYear>2022</completedYear>
    <publishedYear>2022</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>Article number: 41</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue>41</issue>
    <volume>2022</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2023-12-19</completedDate>
    <publishedDate>2022-03-05</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Crossing time in the dissipative Landau-Zener quantum dynamics</title>
    <abstract language="eng">We study the dynamics of a quantum two-state system driven through an avoided crossing under the influence of a super-Ohmic environment. We determine the Landau–Zener probability employing the numerical exact quasi-adiabatic path integral and a Markovian weak coupling approach. Increasing the driving time in the numerical protocol, we find converged results which shows that super-Ohmic environments only influence the Landau Zener probability within a finite crossing time window. This crossing time is qualitatively determined by the environmental cut-off energy. At weak coupling, we show that the Markovian weak coupling approach provides an accurate description. Since pure dephasing of a super-Ohmic bath is non-Markovian, this highlights that pure dephasing hardly influences the Landau–Zener probability. The finite crossing time window, thus, results from the suppression of relaxation once the energy splitting exceeds the environmental cut-off energy.</abstract>
    <parentTitle language="eng">The European Physical Journal B</parentTitle>
    <identifier type="doi">https://doi.org/10.1140/epjb/s10051-022-00306-z</identifier>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">true</enrichment>
    <licence>© Alle Rechte vorbehalten</licence>
    <author>Peter Nalbach</author>
    <collection role="institutes" number="FB 5">Wirtschaft und Informationstechnik Bocholt</collection>
    <thesisPublisher>Westfälische Hochschule Gelsenkirchen Bocholt Recklinghausen</thesisPublisher>
  </doc>
</export-example>
