# Landau-Majorana-Stuckelberg-Zener dynamics driven by coupling for two interacting qutrit systems

## TL;DR

This paper analyzes a two interacting spin-qutrit system under a time-varying longitudinal field, revealing LMSZ transitions driven by coupling, enabling entanglement generation and control, with considerations of environmental noise effects.

## Contribution

It demonstrates LMSZ transitions without transverse fields due to coupling, introduces methods to estimate coupling strength, and explores entanglement and control in noisy environments.

## Key findings

- LMSZ transitions occur via coupling without transverse fields.
- Entangled states can be generated by tuning the ramp slope.
- Environmental noise impacts the system dynamics and control.

## Abstract

A time-dependent two interacting spin-qutrit model is analysed and solved. The two interacting qutrits are subjected to a longitudinal field linearly varying over time as in the Landau-Majorana-St\"uckelberg-Zener (LMSZ) scenario. Although a transverse field is absent, we show the occurrence of LMSZ transitions assisted by the coupling between the two spin-qutrits. Such a physical effects permits to estimate experimentally the coupling strength between the spins and allows the generation of entangled states of the two qutrits by appropriately setting the slope of the ramp. Furthermore, the possibility of local and non-local control as well as the existence of dark states of the two qutrits have been brought to light. Effects stemming from a noisy surrounding environment are also taken into account by introducing a random fluctuating field component as well as non-Hermitian terms in the Hamiltonian model.