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Cluster Ising quantum batteries can mimic superextensive charging power

Anna Pavone* and Federico Luigi Cavagnaro*

Matteo Carrega

Riccardo Grazi, Dario Ferraro, and Niccolò Traverso Ziani†

  • CNR-SPIN, Via Dodecaneso 33, 16146 Genova, Italy

  • *These authors contributed equally to this work.
  • †Contact author: niccolo.traverso.ziani@unige.it
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Phys. Rev. B 114, 065405 – Published 6 July, 2026

DOI: https://doi.org/10.1103/rdhw-9kh3

Abstract

Quantum batteries—miniaturized devices able to store and release energy on demand—are promising both because their intrinsic energy and timescales can match those of other quantum technologies and due to the intriguing possibility of achieving superextensive charging power. While this enhanced scaling is known to appear in several settings, it is generally believed to be forbidden in Jordan-Wigner integrable spin chains charged via quantum-quench protocols. Here, we show that an extended cluster-Ising model, despite belonging to the above category, exhibits superextensive charging power over wide ranges of system sizes, reaching up to a thousand spins, in proper parameter regimes. This remarkable anomalous scaling is due to a corresponding superextensive growth of the stored energy, implying that it is limited to a large but finite size of the system and cannot persist in the thermodynamic limit. This phenomenon appears robust against finite-temperature effects.

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Outline

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Phys. Rev. B 114, 065405– Published 6 July, 2026
  • Received 16 February 2026
  • Revised 30 April 2026
  • Accepted 16 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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