Optimal state for a Tavis-Cummings quantum battery via the Bethe ansatz method

In this paper, we investigate the effect of different optical field initial states on performance Tavis-Cummings (T-C) quantum battery. solving dynamical evolution system, found a fast way to solve Bethe ansatz equation. We find that stored energy and average charging power T-C battery are closely related probability distribution state in number states. define quantity called number-state energy. With prescribed quantity, only need know obtain at any time. propose an equal expected value splitting method by which can two inequalities, inequalities be reduced Jensen's inequalities. By method, optimal field. maximum proportional photon number, fully charged when is large enough. phenomena, described empirical These phenomena imply hypersensitivity cavity Finally, discussed impact decoherence performance.