Electromagnetically-induced transparency with amplification in superconducting circuits

We show that electromagnetically-induced transparency and lasing without inversion are simultaneously achieved for microwave fields by using a fluxonium superconducting circuit. As a result of the $\Delta$ energy-level structure of this artificial three-level atom, we find the surprising phenomenon that the electromagnetically-induced transparency window in the frequency domain is sandwiched between absorption on one side and amplification on the other side.