Open quantum battery in three-dimensional rotating black hole spacetime

TL;DR

This study explores how a quantum battery's charging efficiency is affected by a three-dimensional rotating black hole's properties, revealing potential for black hole diagnostics and advancing understanding of relativistic quantum energy systems.

Contribution

It demonstrates the influence of black hole rotation on quantum battery performance and proposes using quantum batteries to probe black hole critical phenomena.

Findings

Rotation enhances charging at certain parameters

Performance varies significantly near extremal rotation

Energy extraction is suppressed by rotation and dissipation

Abstract

We investigate the charging performance of a quantum battery coupled to a scalar field in the background of a three-dimensional rotating black hole. We show that for Dirichlet boundary conditions, the black hole rotation enhances the charging performance at finite times when the quantum battery's energy level spacing is smaller than the charging amplitude, whereas it degrades the charging performance in other parameter regimes. Notably, as the black hole approaches extremal rotation, charging performance undergoes significant amplification or suppression, depending on the parameter regime. This indicates that the performance of quantum battery can probe critical properties of black holes. Additionally, regarding the energy flow in quantum battery, it is further demonstrated that the energy extraction from vacuum fluctuations via dissipation, and rotation suppresses the quantum battery's capacity to extract this energy. Our findings not only advance the relativistic dissipation dynamics of quantum battery but also propose a novel method to detect black hole rotation and extremal-state transitions.