Crossing time in the dissipative Landau-Zener quantum dynamics
- 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.
Author: | Peter Nalbach |
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DOI: | https://doi.org/https://doi.org/10.1140/epjb/s10051-022-00306-z |
Parent Title (English): | The European Physical Journal B |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2023/12/19 |
Date of first Publication: | 2022/03/05 |
Publishing Institution: | Westfälische Hochschule Gelsenkirchen Bocholt Recklinghausen |
Release Date: | 2024/01/10 |
Volume: | 2022 |
Issue: | 41 |
First Page: | Article number: 41 |
Departments / faculties: | Fachbereiche / Wirtschaft und Informationstechnik Bocholt |
Licence (German): | Es gilt das Urheberrechtsgesetz |