TY - JOUR A1 - Nalbach, Peter T1 - Crossing time in the dissipative Landau-Zener quantum dynamics T2 - The European Physical Journal B N2 - 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. Y1 - 2022 UR - https://whge.opus.hbz-nrw.de/frontdoor/index/index/docId/4287 VL - 2022 IS - 41 SP - Article number: 41 ER -