# Dynamically induced many-body localization

## TL;DR

This paper demonstrates that periodic pulsed manipulation can induce a transition from ergodic to many-body localized phases in spin systems, enabling long-lived non-equilibrium states by suppressing energy absorption.

## Contribution

It introduces a method to engineer Hamiltonians via fast controls to achieve stable MBL phases in weakly disordered ergodic systems.

## Key findings

- Periodic pulsed manipulation induces MBL transition.
- Engineered Hamiltonians suppress energy absorption.
- Long-lived non-equilibrium phases are achievable.

## Abstract

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating rates. Specifically, we demonstrate that the Hamiltonian of a weakly disordered ergodic spin system can be effectively engineered, by using sufficiently fast coherent controls, to yield a stable MBL phase, which in turn completely suppresses the energy absorption from external control field. Our results imply that a broad class of existing many-body systems can be used to probe non-equilibrium phases of matter for a long time, limited only by coupling to external environment.