# Simulation of 1D topological phases in driven quantum dot arrays

## TL;DR

This paper introduces a driving protocol for quantum dot arrays that enables simulation of 1D topological phases by controlling bond-order and hopping amplitudes, with potential for experimental realization and observing correlation effects.

## Contribution

The paper presents a novel driving protocol to engineer topological phases in quantum dot arrays, including implementation details and analysis of correlation effects in a 12-QD system.

## Key findings

- Effective control of hopping amplitudes and bond-order in quantum dot arrays.
- Suppression of undesired hopping processes enhances topological protection.
- Observation of correlation effects in a 12-QD system with two electrons.

## Abstract

We propose a driving protocol which allows to use quantum dot arrays as quantum simulators for 1D topological phases. We show that by driving the system out of equilibrium, one can imprint bond-order in the lattice (producing structures such as dimers, trimers, etc) and selectively modify the hopping amplitudes at will. Our driving protocol also allows for the simultaneous suppression of all the undesired hopping processes and the enhancement of the necessary ones, enforcing certain key symmetries which provide topological protection. In addition, we have discussed its implementation in a 12-QD array with two interacting electrons and found correlation effects in their dynamics, when configurations with different number of edge states are considered.