# Dynamic localization in an effective tight binding Hamiltonian model with a rapidly oscillating homogeneous electric field on a lattice

## TL;DR

This paper uses the Magnus-Floquet method to derive an effective Hamiltonian for a charged particle on a lattice under a high-frequency oscillating electric field, showing that dynamic localization does not occur regardless of parameters.

## Contribution

It provides a comprehensive calculation of the effective Hamiltonian demonstrating the absence of dynamic localization in this setting, extending previous results.

## Key findings

- No dynamic localization for any lattice constant or electric field value
- Effective Hamiltonian derived using Magnus-Floquet approach
- Complements and completes previous limit results by Dunlap and Kenkre

## Abstract

By the Magnus-Floquet approach we calculate the effective Hamiltonian for a charged particle on the lattice subject to a homogeneous high frequency oscillating electric field. The obtained result indicate the absence of dynamic localization of the particle for any value of the lattice constant and electric field applied, which completes the limit results obtained by Dunlap and Kenkre.