A nanophotonic cavity system strongly coupled to one or multiple neutral atoms is a very useful platform for the quantum information processing. Single qubit control and entanglement between two qubits on this system has been experimentally realized recently based on the fact that the number of atoms coupled to this system has distinct reflectivity spectrum. Here we theoretically studied the effect of spin exchange interaction along chiral waveguide in this system to understand the collective effect of neutral atoms on the reflectivity spectrum. Furthermore, we discovered that in some non-reciprocal chiral cases the coupling between the atoms and cavity has no effect on the reflectivity spectrum due to cancelling caused by the space-dependent spin exchange interaction. We also studied the properties of the reflectivity spectrum as the number of atoms coupled to this system is increased.
|Hiew Wei Seng
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