# Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium II: driven dynamics

## TL;DR

This paper investigates how entanglement entropy and computational complexity evolve in driven Anderson impurity models, proposing orbital reordering techniques to optimize matrix product state simulations of periodically driven quantum systems.

## Contribution

It introduces a novel approach to reduce entanglement growth in driven impurity models by reordering bath orbitals based on Floquet quasi-energy, enhancing simulation efficiency.

## Key findings

- Reordering bath orbitals reduces exponential growth of entanglement entropy.
- Growth of entanglement is linked to bath orbital ordering and driving period.
- Optimized orbital ordering improves matrix product state simulation performance.

## Abstract

We study the growth of entanglement entropy and bond dimension with time in density matrix renormalization group simulations of the periodically driven single-impurity Anderson model. The growth of entanglement entropy is found to be related to the ordering of the bath orbitals in the matrix product states of the bath and to the relation of the driving period $T$ to the convergence radius of the Floquet-Magnus expansion. Reordering the bath orbitals in the matrix product state by their Floquet quasi-energy is found to reduce the exponential growth rate of the computation time at intermediate driving periods, suggesting new ways to optimize matrix product state calculations of driven systems.