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

The authors derived and analytically proved a tight quantum speed limit for ergotropy charging in an N-qubit Dicke battery. They found $\tau^*( \epsilon) \geq \sqrt{N\epsilon / (2\lambda/\sqrt{n_\bar})}$, which is verified numerically across 7797 simulations with zero violations. This provides a fundamental lower bound on the time needed to charge the battery to a specific useful energy level.

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