Shortcuts to Adiabaticity for the Quantum Rabi Model

We propose a method for the fast generation of nonclassical ground states of the Rabi model in the ultra-strong and deep-strong coupling regimes via the shortcuts-to-adiabatic (STA) dynamics [1]. The time-dependent quantum Rabi model is simulated by applying parametric amplification [2,3] to the Jaynes-Cummings model. Using experimentally feasible parametric drive, this STA protocol can generate large-size Schrödinger cat states, through a process which is 10 times faster compared to adiabatic protocols. Such fast evolution increases the robustness of our protocol against dissipation. Our method enables 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.
[1] Y.-H. Chen, W. Qin, X. Wang, A. Miranowicz, and F. Nori, arXiv:2008.04078.
[2] W. Qin, A. Miranowicz, P.-B. Li, X.-Y. Lv, J. Q. You, and F. Nori, Phys. Rev. Lett. 120, 093601 (2018).
[3] C. Leroux, L. C. G. Govia, and A. A. Clerk, Phys. Rev. Lett. 120, 093602 (2018).