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

TL;DR

This paper introduces a shortcut-to-adiabaticity method using parametric amplification to rapidly generate large Schrödinger cat states in the quantum Rabi model, enhancing speed and robustness over traditional adiabatic approaches.

Contribution

The authors develop a fast, experimentally feasible protocol for creating giant entangled cat states in the quantum Rabi model using parametric drives, surpassing adiabatic methods in speed and robustness.

Findings

Generation time is reduced by a factor of 10 compared to adiabatic protocols.

The method is robust against operational imperfections and detuning.

Large-size Schrödinger cat states are successfully produced in the lab frame.

Abstract

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 Schr\"{o}dinger cat states, through a process that is 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.