Interaction of light with a hyperbolic cavity in the strong-coupling regime with Fano resonance

Light-matter interaction is studied for an open quantum system in the strong-coupling regime. A quantum dot and a cavity of spherical geometry is shown to couple light with large Rabi frequency and the role of Fano resonance is shown in the coupling mechanism. High Purcell factor and large Lamb shift is outlined. In the near-field spectrum, two distinct anti-crossings are evident, namely - the one for the epsilon near zero (ENZ) frequency (from the effective medium description) which is detectable in the far-field, and the second anti-crossing is a pseudomode that does not appear in the far-field spectrum. Finally, we analyze the fidelity of the strong-coupling, i.e. how prone is the strong-coupling with respect to the loss mechanisms. This study on strong-coupling will have applications for spectroscopy, control over chemical reaction rate, microcavity, and in quantum information technology.