Correlations Between Quantum Battery Capacity and Quantum Resources for Two-qubit System

TL;DR

This paper explores how quantum resources like entanglement and coherence influence the capacity of a two-qubit quantum battery, revealing monotonic relationships and residual capacity correlations.

Contribution

It uncovers the monotonic relationships between quantum resources and battery capacity, including the residual capacity and the effects of system detuning.

Findings

Battery capacity decreases with entanglement, steering, Bell nonlocality, and coherence.

Residual capacity positively correlates with entanglement.

Quantum state texture correlates positively with capacity but negatively with other quantum resources.

Abstract

We investigate the relationship between quantum battery capacity and quantum resources in a two-qubit system consisting of mutually coupled battery and charger subsystems. We find that the battery capacity decreases monotonically with the quantum entanglement, steering, Bell nonlocality and coherence, and peaks when these four quantum resources vanish. Moreover, we reveal the capacity gap between the total system capacity and the sum of the battery and charger spin capacities, which is the residual battery capacity, and establish its positive correlation with entanglement. Furthermore, unlike the first four resources, although the battery capacity decreases monotonically with quantum imaginarity, its disappearance under system detuning does not guarantee a peak capacity, and this effect becomes more pronounced as the detuning increases. In contrast to the first five resources, the quantum state texture shows a positive correlation with battery capacity, but a negative correlation with entanglement, steering, Bell nonlocality, coherence, imaginarity, and residual battery capacity. These monotonic relationships are independent of the choice of system parameters. Our findings reveal the relationship between quantum battery capacity and quantum resources during the dynamic evolution of a quantum battery system, and advances the theory of quantum batteries and the development of quantum energy storage systems.