The universal model of strong coupling at the nonlinear parametric resonance in open cavity-QED systems

TL;DR

This paper introduces a universal quantum model for strongly coupled nonlinear resonances in open cavity-QED systems, revealing tripartite entanglement and spectral modifications useful for system characterization.

Contribution

It develops a nonperturbative quantum framework for nonlinear parametric resonance in cavity-QED, providing analytic solutions and insights into entanglement and spectral features.

Findings

Tripartite quantum entanglement at strong coupling

Modification of photon and vibrational spectra

Method to extract relaxation rates and coupling strength

Abstract

Many molecular, quantum-dot, and optomechanical nanocavity-QED systems demonstrate strong nonlinear interactions between electrons, photons, and phonon (vibrational) modes. We show that such systems can be described by a universal model in the vicinity of the nonlinear parametric resonance involving all three degrees of freedom. We solve the nonperturbative quantum dynamics in the strong coupling regime of the nonlinear resonance, taking into account quantization, dissipation, and fluctuations of all fields. We find analytic solutions for quantum states in the rotating wave approximation which demonstrate tripartite quantum entanglement once the strong coupling regime is reached. We show how the strong coupling at the nonlinear resonance modifies photon emission and vibrational spectra, and how the observed spectra can be used to extract information about relaxation rates and the nonlinear coupling strength in specific systems.