Algebraic power scaling in a slowly-quenched bosonic quantum battery

TL;DR

Introducing a slow quench in a bosonic quantum battery system enables algebraic scaling of maximum power with quench duration, allowing unbounded power increase and faster charging, which is counterintuitive to conventional expectations.

Contribution

Demonstrates that slow quenches in a bosonic quantum battery lead to algebraic power scaling, suppressing oscillations and enabling unbounded power growth, with broader implications for quantum battery design.

Findings

Power scales algebraically with quench duration ($P_{B,m} o au_Q^eta$).

Slower quenches suppress energy oscillations, increasing maximum power.

Dissipation imposes a finite limit on power despite algebraic scaling.

Abstract

Bosonic modes provide a promising platform for quantum batteries as a result of their unbounded energy spectrum. However, the energy that can be stored during a coherent charging process is limited due to coherent oscillations between the charger and battery. In this Letter, we show that by introducing a slow quench in the interaction between a coherently driven quadratic oscillator battery and a charger system, the maximum battery power ($P_{B,m}$) scales algebraically with the quench duration ($\tau_Q$), i.e., $P_{B,m} \propto \tau_Q^\alpha$, where $0<\alpha\leq2$ is a function of the quench ramp exponent. This finding implies that, counterintuitively, slower quenches lead to faster charging. Such a quench suppresses coherent energy oscillations between the battery and the charger, allowing an unbounded increase in power. Furthermore, we discuss the effect of charger dissipation, which imposes a finite limit on the maximum power. We also show that the temporal extensive scaling occurs in a broader context by mapping the system to a coherently driven Tavis-Cummings battery.