Dichotomy in the effect of chaos on ergotropy

TL;DR

This paper investigates how chaos influences the maximum work extractable from quantum systems, revealing that chaos can both enhance and hinder ergotropy depending on the knowledge of the system state, with implications for quantum battery design.

Contribution

It demonstrates the dual role of chaos in quantum ergotropy, showing how it can improve or impair work extraction based on measurement and entanglement considerations.

Findings

Chaos enhances ergotropy when the state is known due to entanglement.

Chaos suppresses ergotropy when the state is unknown with coarse measurements.

Optimal work extraction occurs at a specific chaos parameter value.

Abstract

The maximum unitarily extractable work from a quantum system -- ergotropy -- is the basic principle behind quantum batteries, a rapidly emerging field. This work studies ergotropy in two quantum chaotic systems, the quantum kicked top and the kicked Ising spin chain, to illustrate the effects of chaotic dynamics. In an ancilla-assisted scenario, chaos enhances ergotropy when the state is known, a consequence of large entanglement production in the chaotic regime. When the state is unknown, we need to at least partially characterize the state using coarse-grained measurements for useful extraction of work. In this case, chaos impedes ergotropy by suppressing information gained from coarse-grained measurements, while entanglement with an ancilla still facilitates ergotropy. In this scenario, we study the interplay between chaos and entanglement and find a sweet spot in the chaos parameter for optimal work. Our results point to the potential of quantum chaos-assisted batteries for better work extraction.