Abstract

We report on hybrid circuit QED experiments with focused ion beam implanted Er3+^{3+} ions in Y2_2SiO5_5 coupled to an array of superconducting lumped element microwave resonators. The Y2_2SiO5_5 crystal is divided into several areas with distinct erbium doping concentrations, each coupled to a separate resonator. The coupling strength is varied from 5 MHz to 18.7 MHz, while the linewidth ranges between 50 MHz and 130 MHz. We confirm the paramagnetic properties of the implanted spin ensemble by evaluating the temperature dependence of the coupling. The efficiency of the implantation process is analyzed and the results are compared to a bulk doped Er:Y2_2SiO5_5 sample. We demonstrate the successful integration of these engineered erbium spin ensembles with superconducting circuits.

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