# Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation

## TL;DR

This paper investigates how detuning affects the robustness of a three-state Landau-Zener model against dissipation, revealing conditions under which population transfer is sensitive or resilient to environmental interactions.

## Contribution

It introduces an analysis of dissipation effects on a three-state Landau-Zener model, highlighting the role of detuning in controlling robustness against environmental noise.

## Key findings

- Equidistant bare energies lead to sensitive population transfer.
- Non-equidistant energies exhibit robustness against dissipation.
- Physical mechanisms underlying these behaviors are thoroughly discussed.

## Abstract

A three-state system subjected to a time-dependent Hamiltonian whose bare energies undergo one or more crossings, depending on the relevant parameters, is considered, also taking into account the role of dissipation in the adiabatic following of the Hamiltonian eigenstates. Depending on the fact that the bare energies are equidistant or not, the relevant population transfer turns out to be very sensitive to the environmental interaction or relatively robust. The physical mechanisms on the basis of this behavior are discussed in detail.