Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled Cat States via Parametric Amplification

We propose a method for the fast generation of nonclassical ground states of the Rabi model in the ultrastrong and deep-strong coupling regimes via the shortcuts-to-adiabatic (STA) dynamics. The time-dependent quantum Rabi model is simulated by applying parametric amplification to the Jaynes-Cummings model. Using experimentally feasible parametric drive, this STA protocol can generate large-size Schrodinger cat states, through a process that is similar to 10 times faster compared to adiabatic protocols. Such fast evolution increases the robustness of our protocol against dissipation. Our method enables one to freely design the parametric drive, so that the target state can be generated in the lab frame. A largely detuned light-matter coupling makes the protocol robust against imperfections of the operation times in experiments.

Automated summary

The proposed method utilizes shortcuts-to-adiabatic dynamics to quickly generate nonclassical ground states of the Rabi model in ultrastrong and deep-strong coupling regimes by applying parametric amplification to the Jaynes-Cummings model. The STA protocol can produce large-size Schrodinger cat states faster, approximately 10 times, than adiabatic protocols, enhancing protocol robustness against dissipation and imperfections. The ability to freely design the parametric drive and robustness against experiment operation imperfections make this method promising for practical applications.