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Crossing time in the dissipative Landau–Zener quantum dynamics

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  • P. Nalbach

    (Westfälische Hochschule)

Abstract

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. Graphical abstract

Suggested Citation

  • P. Nalbach, 2022. "Crossing time in the dissipative Landau–Zener quantum dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-8, March.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:3:d:10.1140_epjb_s10051-022-00306-z
    DOI: 10.1140/epjb/s10051-022-00306-z
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