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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery

arXiv
Authors: Anass Jad, Abderrahim El Allati

Year

2026

Paper ID

28493

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We derive and analytically prove a tight quantum speed limit (QSL) for ergotropy charging in the N-qubit Dicke quantum battery: the first-passage time to normalised ergotropy ε satisfies τ*(ε) geq sqrt{Nε}/\(2λsqrt{bar{n}}\), where λ is the coupling and bar{n} is the mean charger photon number. The bound follows from an exact perturbative identity ε(t) = Aλ2bar{n}t2 + mathcal{O}((λt)4), where A=4/N is the short-time ergotropy coefficient, combined with a global upper bound proved analytically for all N. The composite parameter ΓN = 2λsqrt{bar{n}/N} is the unique figure of merit for charging speed; all protocols collapse onto ΓN τ* geq sqrtε, with the bound saturated to within 1% at small ε.

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  • We derive and analytically prove a tight quantum speed limit (QSL) for ergotropy charging in the N-qubit Dicke quantum battery: the first-passage time to normalised ergotropy ε...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.10415 [2] arXiv https://arxiv.org/abs/2603.10415 [3] Publisher https://arxiv.org/abs/2603.10415

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