# Many-body localized quantum batteries

## TL;DR

This paper investigates how many-body localization in disordered quantum systems enhances quantum battery performance, showing that MBL phases enable better work extraction and suppress energy fluctuations compared to ergodic and Anderson localized phases.

## Contribution

It provides a detailed numerical analysis of energy flow in disordered quantum Ising chains, highlighting the advantages of MBL phases for quantum battery efficiency and diagnostics.

## Key findings

- MBL phase allows better work extraction than ergodic phase.
- Interactions reduce energy fluctuations compared to AL phase.
- Distribution of optimal charging times indicates MBL presence.

## Abstract

The collective and quantum behavior of many-body systems may be harnessed to achieve fast charging of energy storage devices, which have been recently dubbed quantum batteries. In this paper, we present an extensive numerical analysis of energy flow in a quantum battery described by a disordered quantum Ising chain Hamiltonian, whose equilibrium phase diagram presents many-body localized (MBL), Anderson localized (AL), and ergodic phases. We demonstrate that i) the low amount of entanglement of the MBL phase guarantees much better work extraction capabilities than the ergodic phase and ii) interactions suppress temporal energy fluctuations in comparison with those of the non-interacting AL phase. Finally, we show that the statistical distribution of values of the optimal charging time is a clear-cut diagnostic tool of the MBL phase.