Quantum Mollow Quadruplet in Non-linear Cavity-QED

TL;DR

This paper presents an exact analytical method to analyze the nonlinear optical response of a quantum dot-microcavity system, revealing the formation of a quantum Mollow quadruplet through transitions in the Jaynes-Cummings ladder.

Contribution

It introduces a novel exact analytical approach for the nonlinear optical response of cavity-QED systems, explicitly isolating different order nonlinearities and describing the quantum Mollow quadruplet formation.

Findings

Demonstrates the formation of a quantum Mollow quadruplet with increasing excitation pulse area.

Provides a closed-form analytical approximation for the quadruplet in the high-field, low-damping regime.

Reveals the superposition of many quantum transitions forming the quadruplet structure.

Abstract

We develop an exact analytical approach to the optical response of a quantum dot-microcavity system for arbitrary excitation strengths. The response is determined in terms of the complex amplitudes of transitions between the rungs of the Jaynes-Cummings ladder, explicitly isolating nonlinearities of different orders. Increasing the pulse area of the excitation field, we demonstrate the formation of a quantum Mollow quadruplet (QMQ), quantizing the semi-classical Mollow triplet into a coherent superposition of a large number of transitions between rungs of the ladder, with inner and outer doublets of the QMQ formed by densely lying inner and outer quantum transitions between the split rungs. Remarkably, a closed-form analytic approximation for the QMQ of any order of nonlinearity is found in the high-field low-damping limit.