Propagation of surface acoustic waves through an array of superconducting transmon circuits

We theoretically investigate the propagation of surface acoustic waves (SAW) through an array of superconducting transmon circuits (STCs), where each STC is characterized by a ladder-type configuration that consists of three energy levels. To achieve this, we employ a SAW probe and microwave control fields to induce electromagnetically induced acoustic transparency (EIAT) within the STCs array. Our proposed model behaves as an EIAT memory protocol, resulting in a reduction in the group velocity of SAW. Furthermore, we investigate the impact of optical depth and the number of STCs on the transmission of SAW. Our results demonstrate that by increasing the number of STCs, the output efficiency of the SAW probe field can be enhanced.