Non-Markovian Dynamics of Quantum Emitters Coupled to Metamaterial Waveguides: Towards Coherence Preservation

Metamaterials, due to their precise geometric structure and size, have unique physical properties that have been extensively studied in recent years. One particular design platform for dispersion engineering is the NZI waveguide in metamaterials. The coupling system between metamaterial waveguides and quantum radiators has been studied extensively under Markovian approximation, but the weak coupling condition of this approximation is broken under the system due to the existence of singularities, which does not reflect the interesting and rich physics of the system. Non-Markovian dynamics have been studied to better understand the system, and the nonperturbative effect of the coupling between a quantum emitter and a metamaterial photonic waveguide has been investigated.

The dynamics of the system can be regulated by adjusting specific parameters, and the entanglement between the QE and waveguide can be maintained by controlling the generation of bound states. This research provides a suitable operating platform for some quantum optical implementations.