Double electromagnetically induced transparency with nuclei inside a cavity

We propose a double electromagnetically induced transparency (EIT) system of nuclei confined inside a low-finesse cavity excited by a soft X-ray radiation source. The quantitative difference in the density of photon states at the node and antinode of the cavity gives rise to subradiant and superradiant kind of states, respectively. When nuclei ensembles are kept at node, node and antinode in the cavity that sustains X-ray radiation field, the configuration behaves like a four-level system with three degenerate upper levels, of which two are metastable, and thus exhibits the nuclear analog of the optical double EIT phenomenon.