Electromagnetically induced acoustic transparency using a superconducting transmon circuit

We theoretically investigate the electromagnetically induced acoustic transparency in a four-level tripod ((sic))-type superconducting transmon circuit with three electromagnetic beams: a weak microwave signal beam, a surface acoustic wave (SAW) probe beam, and a strong microwave control beam, due to which the SAW probe beam becomes transparent through the circuit. We show the transmission and reflection of a SAW probe beam using the semi-classical method in a steady-state regime. In particular, we notice a coherent gain in our system, which enhances the SAW's transmission as it passes through the transmon circuit while substantially lowering the group velocity. We also investigate the electromagnetically induced acoustic transparency in a Doppler broadening regime and demonstrate that Doppler broadening has a considerable influence on the electromagnetically induced acoustic transparency. Our scheme may be useful in superconducting devices that have direct applications in quantum memories.