On Landau-Zener transitions for dephasing Lindbladians
Martin Fraas, Lisa H\"anggli
TL;DR
This paper extends the Landau-Zener transition formula to open quantum systems described by dephasing Lindbladians, providing a new analytical expression for transition probabilities.
Contribution
It introduces a novel formula for Landau-Zener transitions in open systems with dephasing Lindbladians, expanding the applicability of the classic Landau-Zener theory.
Findings
Derived a generalized Landau-Zener transition formula for open systems
Extended the understanding of quantum transitions under dephasing effects
Provides analytical tools for open quantum system dynamics
Abstract
We consider a driven open system whose evolution is described by a Lindbladian. The Lindbladian is assumed to be dephasing and its Hamiltonian part to be given by the Landau-Zener Hamiltonian. We derive a formula for the transition probability which, unlike previous results, extends the Landau-Zener formula to open systems.
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