Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states

The quantum speed limit (QSL) of the Jaynes-Cummings model with detuning for arbitrary initial states is investigated. We mainly focus on influences detuning, width Lorentzian spectral density, and coherence state non-Markovian speedup evolution in an open system. It found that even Markovian regime, increasing parameter leads to speedup. Moreover, we reveal QSL has inverse relation population excited state. Notably, show depends system's such maximal coherent can saturate its bound.