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PreprintCC BY 4.0arXiv

Cumulative locality governs collective quantum charging

  • Sebastián V. Romero
  • Xi Chen
  • Yue Ban
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Abstract

Quantum batteries can outperform their classical counterparts through collective quantum effects, yet the conditions enabling such advantage remain unclear. Using a generic class of free-fermionic chargers we prove that global operators are insufficient for scalable superextensive charging and that a cumulative hierarchy of many-body operators is required, with the structure of the battery determining the degree of advantage. This is obtained by relating the charging power to the norm of the commutator between the battery and charger Hamiltonians and deriving an upper bound only capturing noncommuting terms. Moreover, we revisit the concept of participation number and propose an effective definition that accounts for the relative strength of the contributing terms, correlating it with the charging power scaling. Not limited to quadratic Hamiltonians, our results establish cumulative locality as a key resource for quantum charging advantage.

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Cite

BibTeXRIS
BibTeX
@misc{romero2026cumulative,
  title = {{Cumulative locality governs collective quantum charging}},
  author = {Sebastián V. Romero and Xi Chen and Yue Ban},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28614},
  eprint = {2610.28614},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28614},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Cumulative locality governs collective quantum charging
AU  - Sebastián V. Romero
AU  - Xi Chen
AU  - Yue Ban
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28614
UR  - https://arxiv.org/abs/2610.28614
AB  - Quantum batteries can outperform their classical counterparts through collective quantum effects, yet the conditions enabling such advantage remain unclear. Using a generic class of free-fermionic chargers we prove that global operators are insufficient for scalable superextensive charging and that a cumulative hierarchy of many-body operators is required, with the structure of the battery determining the degree of advantage. This is obtained by relating the charging power to the norm of the commutator between the battery and charger Hamiltonians and deriving an upper bound only capturing noncommuting terms. Moreover, we revisit the concept of participation number and propose an effective definition that accounts for the relative strength of the contributing terms, correlating it with the charging power scaling. Not limited to quadratic Hamiltonians, our results establish cumulative locality as a key resource for quantum charging advantage.
ER  -