# Dynamical enhancement of symmetries in many-body systems

## TL;DR

This paper introduces a novel dynamical decoupling protocol using a self-similar drive to generate and enhance symmetries in many-body quantum systems, maintaining locality and avoiding heating over long times.

## Contribution

It presents a new polyfractal drive method for creating multiple symmetries in many-body systems with stable, local Floquet Hamiltonians.

## Key findings

- Effective Floquet Hamiltonian remains local
- Symmetries can be generated dynamically in complex systems
- Heating is suppressed exponentially long

## Abstract

We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time ("polyfractal") drive. The result is an effective Floquet Hamiltonian that remains local and avoids heating over exponentially long times. This approach can be used to realize a wide variety of quantum models, and non-equilibrium quantum phases.