Floquet driven long-range interactions induce super-extensive scaling in quantum batteries

TL;DR

This paper demonstrates that Floquet-driven long-range interactions can induce super-extensive power scaling in quantum batteries, providing a quantum advantage in energy storage through analytical proofs and optimization of system parameters.

Contribution

It introduces a method to achieve super-extensive power scaling in quantum batteries using Floquet driving and long-range interactions, a novel approach for quantum energy storage.

Findings

Quadratic scaling of instantaneous power with system size.

Super-extensive scaling of average power through optimized driving frequency.

Long-range interactions enhance power scaling and quantum advantage.

Abstract

Achieving quantum advantage in energy storage and power extraction is a primary objective in the design of quantum-based batteries. We explore how long-range (LR) interactions in conjunction with Floquet driving can improve the performance of quantum batteries, particularly when the battery is initialized in a fully polarized state. In particular, we analytically prove that the upper bound of the instantaneous power obtained through this system-charger duo scales quadratically with moderate system-size. By optimizing the driving frequency, we demonstrate that the maximum average power which is a lower bound of the instantaneous power can achieve the super-extensive scaling with system-size, thereby providing genuine quantum advantage. Further, we illustrate that the inclusion of either two-body or many-body interaction terms in the LR charging Hamiltonian leads to a scaling benefit. We also discover that a super-linear scaling in power results from increasing the strength of interaction compared to the transverse magnetic field and the range of interaction with low fall-off rate, highlighting the advantageous role of long-range interactions in optimizing quantum battery charging.