Evaluating extractable work of quantum batteries via entropic uncertainty relations

TL;DR

This paper explores how entropic uncertainty relations can be used to evaluate the energy extraction efficiency of quantum batteries, revealing the relationship between quantum uncertainty and energy conversion performance.

Contribution

It introduces a novel approach using entropic uncertainty relations to assess extractable work in quantum batteries, linking uncertainty tightness to energy efficiency.

Findings

Entropic uncertainty bounds correlate with energy conversion efficiency.

Tightness of uncertainty bounds indicates potential for improved energy extraction.

EURs provide insights into quantum battery performance under different reservoir conditions.

Abstract

In this study, we investigate the effectiveness of entropic uncertainty relations (EURs) in discerning the energy variation in quantum batteries (QBs) modelled by battery-charger-field in the presence of bosonic and fermionic reservoirs. Our results suggest that the extractable works (exergy and ergotropy) have versatile characteristics in different scenarios, resulting in a complex relationship between tightness and extractable work. It is worth noting that the tightness of the lower bound of entropic uncertainty can be a good indicator for energy conversion efficiency in charging QBs. Furthermore, we disclose how the EUR including uncertainty and lower bound contributes to energy conversion efficiency in the QB system. It is believed that these findings will be beneficial for better understanding the role of quantum uncertainty in evaluating quantum battery performance.