Quantum electrodynamics near a photonic band-gap

TL;DR

This paper explores how photonic crystals can be used to create localized cavity modes within a band-gap, enabling advanced quantum electrodynamics phenomena and dissipative state engineering for quantum technologies.

Contribution

It demonstrates the formation of localized cavity modes within the photonic band-gap and their application for efficient dissipative quantum state preparation.

Findings

Localized cavity modes can be engineered within the band-gap.

Photonic crystal vacuum can be used for dissipative state preparation.

Potential for long-range spin models in circuit QED.

Abstract

Photonic crystals provide an extremely powerful toolset for manipulation of optical dispersion and density of states, and have thus been employed for applications from photon generation to quantum sensing with NVs and atoms. The unique control afforded by these media make them a beautiful, if unexplored, playground for strong coupling quantum electrodynamics, where a single, highly nonlinear emitter hybridizes with the band structure of the crystal. In this work we demonstrate that such hybridization can create localized cavity modes that live within the photonic band-gap, whose localization and spectral properties we explore in detail. We then demonstrate that the coloured vacuum of the photonic crystal can be employed for efficient dissipative state preparation. This work opens exciting prospects for engineering long-range spin models in the circuit QED architecture, as well as new opportunities for dissipative quantum state engineering.