Optical fiber Fabry-Perot cavities have been a development facilitating the efficient integration of high-finesse cavities into fiber-optic assemblies. In this work, we demonstrate coupling of two high-finesse fiber cavities by direct photon tunneling between them. We detect the coupled mode spectra and demonstrated the variability of coupling strength and dissipation rates for different transverse modes. Moreover, we observe very narrow spectral features resulting from a dynamical generalizaton of electromagnetically-induced transparency showing that even dissipative systems without metastable states can feature long-lived coherences.
