The entanglement and resonance energy transfer between two-level quantum emitters are typically limited to sub-wavelength distances due to the inherently short-range nature of the dipole-dipole interactions. Moreover, the entanglement of quantum systems is hard to preserve for a long time period due to decoherence and dephasing mainly caused by radiative and nonradiative losses. In this work, we outperform the aforementioned limitations by presenting efficient long-range inter-emitter entanglement and large enhancement of resonance energy transfer between two optical qubits mediated by epsilon-near-zero (ENZ) and other plasmonic waveguide types, such as V-shaped grooves and cylindrical nanorods. More importantly, we explicitly demonstrate that the ENZ waveguide resonant energy transfer and entanglement performance drastically outperforms the other waveguide systems. Only the excited ENZ mode has an infinite phase velocity combined with a strong and homogeneous electric field distribution, which leads to a giant energy transfer and efficient entanglement independent to the 2 emitters' separation distances and nanoscale positions in the ENZ nanowaveguide, an advantageous feature that can potentially accommodate multi-qubit entanglement. Moreover, the transient entanglement can be further improved and become almost independent of the detrimental decoherence effect when an optically active (gain) medium is embedded inside the ENZ waveguide. We also present that efficient steady-state entanglement can be achieved by using a coherent external pumping scheme. Finally, we report a practical way to detect the steady-state entanglement by computing the second-order correlation function. The presented findings stress the importance of plasmonic ENZ waveguides in the design of the envisioned onchip quantum communication and information processing plasmonic nanodevices.
IntroductionOne of the main limitations of the current quantum photonic systems is the rapid loss of spatial and temporal coherence [1,2]. For instance, Förster resonance energy transfer [3], a well-known dipole-dipole interaction between quantum emitters important to light sources, biomedical imaging, and photovoltaic applications, is limited to subwavelength ranges [4,5]. In addition, quantum entanglement [6], which is significant for a variety of emerging applications in quantum communication and computing [7], usually takes place at extremely short distances and for very short time periods, due to the decoherence associated with unavoidable coupling between the system and the surrounding environment [8].During the last years, considerable research efforts have been dedicated to significantly improve coherence based on the emerging field of quantum plasmonic metamaterials [9,10]. These artificially engineered nanostructures can serve as a novel platform to trigger, harness, and enhance coherent light-matter interactions at the nanoscale [9,11]. For instance, long-range