The anisotropic quantum Rabi model with diamagnetic term

TL;DR

This paper presents an exact solution to the anisotropic quantum Rabi model with a diamagnetic term, showing it can be reduced to simpler models without approximations using a squeeze operator transformation.

Contribution

It introduces a method to exactly transform the anisotropic Rabi model with the diamagnetic term into Jaynes-Cummings or anti-Jaynes-Cummings models, avoiding approximations.

Findings

Exact reduction to Jaynes-Cummings models achieved

Diamagnetic term can be tuned to simplify the model

Method provides a new analytical approach for complex quantum models

Abstract

We employ a squeeze operator transformation approach to solve the anisotropic quantum Rabi model that includes a diamagnetic term. By carefully adjusting the amplitude of the diamagnetic term, we demonstrate that the anisotropic Rabi model with the $A^2$ term can be exactly reduced to either a Jaynes-Cummings or an anti-Jaynes-Cummings model without requiring any approximations.