Schrödinger-cat-like states with dressed photons in renormalized adiabatic approximation for generalized quantum Rabi Hamiltonian with quadratic interaction

Abstract

We give a mathematical procedure to obtain the renormalized adiabatic approximation for the generalized quantum Rabi Hamiltonian with a quadratic interaction. The Hamiltonian describes the energy of the interaction system of a two-level artificial atom and a one-mode microwave photon. Using the renormalized adiabatic approximation in the deep-strong coupling regime, we study the appearance of the Schrödinger-cat-like states with dressed photons in the eigenstates of the generalized quantum Rabi Hamiltonian with the quadratic interaction.