Speeding the generation of giant entangled states using low-frequency modulations

In this paper, we generalize the shortcuts to adiabacity for the quantum Rabi model by simultaneously modulating its two components, namely, the two-level system and the cavity mode. This will eliminate the counterrotating terms which in turn helps to simulate the Rabi model by the Jaynes-Cummings model without requiring a largely detuned light-matter coupling. We focus on the low-frequency modulations since it is easy to realize them experimentally. The results show that these modulations can significantly shorten the evaluation time, generate much larger entanglement cat states, and robust against imperfection of time evaluation and dissipation.