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arXiv:2511.23081 · Physical Review A

Algebraic power scaling in a slowly-quenched bosonic quantum battery

Donny Dwiputra, Ahmad R. T. Nugraha, Sasfan A. Wella, Freddy Permana Zen

quant-phSubmitted Nov 28, 2025• Announced Dec 1, 2025• 0 citations
v1 · Nov 28, 2025v2 · Jun 27, 2026v3 · Sep 21, 2026
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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 ($τ_Q$), i.e., $P_{B,m} \propto τ_Q^α$, where $0<α\leq2$ 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.

Journal reference
Phys. Rev. A 114, 032217 (2026)
DOI
10.1103/p9s3-hx21
Comments
6 pages, 3 figures

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We explore the operation of quantum batteries in the Lipkin-Meshkov-Glick (LMG) model, when they are charged either through a sudden quench in the magnetic field strength or by coupling them to a single-mode bosonic charger. Through initializing the battery in either the symmetric or broken symmetry phases of the LMG model we analyze how the different spectral properties can affect the performance of both the charging and discharging of the battery. In particular, we show that by quenching the magnetic field strength from the symmetric phase to the broken phase, we can achieve a significant enhancement in stored energy, as well as stable and efficient ergotropy extraction. Similar observations can be made when introducing weak coupling between the battery with the bosonic charger, while the amount of stored work and ergotropy saturate at strong coupling. These findings emphasize the importance of the magnetic field dynamics or environmental coupling in optimizing charging performance, which could lead to practical applications in quantum energy storage.
Ergotropic-gap relations provide thermodynamic witnesses of quantum correlations, but a direct dynamical connection between extractable work and entanglement remains largely unexplored in multipartite non-Gaussian bosonic systems. Here, we establish such a connection for a bosonic quantum battery driven by a coherent-state superposition. Despite the infinite-dimensional Hilbert space, the dynamics retains a simple structure that allows the relevant work and correlation measures to be obtained exactly. We show that the loss of extractable work associated with the passive part of the battery energy is directly determined by charger-battery entanglement. This relation also separates the charging power into contributions from energy transfer and from changes in the battery spectrum. At the same time, multipartite correlations are progressively redistributed from charger-involving correlations to correlations internal to the battery. For a symmetric resonant protocol, complete energy transfer coincides with charger-battery disentanglement and fully extractable stored energy, while multipartite correlations within the battery are maximal. Individual cells, however, remain mixed, revealing a distinction between global and local work extraction. We further show that, in the regime considered, locally extractable work is entirely supported by energetic coherence. Under single-photon loss, the analytical structure survives, but environmental correlations separate charger disentanglement from maximal work extraction.