# Time evolution of Floquet states in graphene

## TL;DR

This paper investigates how Floquet states in graphene nanoribbons evolve over time under various electromagnetic driving conditions, revealing unconventional features and dynamic edge states responsible for charge oscillations.

## Contribution

It provides a detailed analysis of the time evolution of Floquet states in graphene, highlighting features not seen in static eigenvalues and identifying regimes with dynamic edge states.

## Key findings

- Time-dependent band structure shows unconventional features.
- Dynamic edge states lead to charge oscillations.
- Regimes for the emergence of time-dependent edge states are identified.

## Abstract

Based on a solution of the Floquet Hamiltonian we have studied the time-evolution of electronic states in graphene nanoribbons driven out of equilibrium by time-dependent electromagnetic fields in different regimes of intensity, polarization and frequency. We show that the time-dependent band structure contains many unconventional features that are not captured by considering the Floquet eigenvalues alone. By analyzing the evolution in time of the state population we have identified regimes for the emergence of time-dependent edge states responsible of charge oscillations across the ribbon.