Regular Article - Mesoscopic and Nanoscale Systems
Crossing time in the dissipative Landau–Zener quantum dynamics
Fachbereich Wirtschaft und Informationstechnik, Westfälische Hochschule, Münsterstrasse 265, 46397, Bocholt, Germany
Accepted: 22 February 2022
Published online: 5 March 2022
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.
© The Author(s) 2022
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