A photonic crystal realization of a phase driven two-level atom

TL;DR

This paper introduces a novel photonic crystal design that models a phase-driven two-level atom, providing exact solutions in weak coupling and perturbative analysis in strong coupling, enabling state reconstruction through coherent oscillations.

Contribution

It presents a new photonic crystal implementation of a nonlinear quantum Rabi model with exact and perturbative solutions, advancing quantum simulation capabilities.

Findings

Exact solutions in weak-coupling regime

Continuous dispersion relation in strong-coupling regime

Demonstration of coherent oscillations for state reconstruction

Abstract

We propose a set of photonic crystals that realize a nonlinear quantum Rabi model equivalent to a two-level system driven by the phase of a quantized electromagnetic field. The crystals are exactly soluble in the weak-coupling regime and their dispersion relation is discrete. The system is diagonalized by normal modes equivalent to a dressed state basis. In the strong-coupling regime, we use perturbation theory and find that the dispersion relation is continuous and give the normal modes of the crystal in terms of continued fractions. We show that these photonic crystals allow state reconstruction in the form of coherent oscillations in the weak-coupling regime.