Analytic solutions of 2-photon and two-mode Rabi models
Yao-Zhong Zhang · arXiv (Cornell University) · 2013
Applying Bogoliubov transformations and Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the 2-photon and two-mode quantum Rabi models. In each case, a transcendental function is analytically derived whose zeros give the energy spectrum of the model. The zeros can be numerically found by standard root-search techniques. We also present analytic solution to the driven Rabi model with broken ${\cal Z}_2$ symmetry.