# Quantum versus classical many-body batteries

**Authors:** Gian Marcello Andolina, Maximilian Keck, Andrea Mari, Vittorio, Giovannetti, and Marco Polini

arXiv: 1812.04669 · 2019-06-04

## TL;DR

This paper investigates whether fast charging in quantum many-body batteries is due to quantum effects or collective classical behavior, finding the answer varies with the specific model and interaction strength.

## Contribution

It provides a comparative analysis of quantum and classical many-body batteries, revealing model-dependent and interaction-dependent factors influencing fast charging.

## Key findings

- Fast charging can be attributed to quantum effects or classical collective behavior depending on the model.
- The nature of the charging mechanism varies with the interaction strength.
- Classical analogs can replicate certain quantum battery behaviors.

## Abstract

Quantum batteries are quantum mechanical systems with many degrees of freedom which can be used to store energy and that display fast charging. The physics behind fast charging is still unclear. Is this just due to the collective behavior of the underlying interacting many-body system or does it have its roots in the quantum mechanical nature of the system itself? In this work we address these questions by studying three examples of quantum-mechanical many-body batteries with rigorous classical analogs. We find that the answer is model dependent and, even within the same model, depends on the value of the coupling constant that controls the interaction between the charger and the battery itself.

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/1812.04669/full.md

## References

23 references — full list in the complete paper: https://tomesphere.com/paper/1812.04669/full.md

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Source: https://tomesphere.com/paper/1812.04669