Intracavity electromagnetically induced transparency in atoms around a nanofiber with a pair of Bragg grating mirrors

We study intracavity electromagnetically induced transparency in atoms around a nanofiber with a pair of Bragg grating mirrors. We calculate the transmission of the composite cavity-fiber-atom system and the time development of the guided probe light field. We derive analytical approximate expressions for the output probe field and its group delay. We show that the group delay of the guided light substantially depends on the input pulse length, the mirror reflectivity, the atomic number density, and the coupling field intensity. We demonstrate that the group delay of the guided light can be significantly enhanced by the presence of the fiber-Bragg-grating cavity even when the finesse of the cavity is moderate.