Dynamics of quantum battery capacity under Markovian channels

TL;DR

This paper investigates how the capacity of quantum batteries based on Bell-diagonal states evolves under various Markovian channels, revealing phenomena like capacity increase, sudden death, and capacity freezing.

Contribution

It provides a detailed analysis of quantum battery capacity dynamics under different Markovian channels, including conditions for capacity increase, sudden death, and freezing, which are novel insights.

Findings

Capacity increases for certain states under amplitude damping.

Sudden death of capacity under depolarizing channel.

Capacity freezing occurs under bit flip and amplitude damping channels.

Abstract

We study the dynamics of the quantum battery capacity for the Bell-diagonal states under Markovian channels on the first subsystem. We show that the capacity increases for special Bell-diagonal states under amplitude damping channel. The sudden death of the capacity occurs under depolarizing channel. We also investigate the capacity evolution of Bell-diagonal states under Markovian channels on the first subsystem $n$ times. It is shown that the capacity under depolarizing channel decreases initially, then increases for small $n$ and tend to zero for large $n$. We find that under bit flip channel and amplitude damping channel, the quantum battery capacity of special Bell-diagonal states tends to a constant for large $n$, namely, the frozen capacity occurs. The dynamics of the capacity of the Bell-diagonal states under two independent same type local Markovian channels is also studied.