  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.
