Photon counting for axion interferometry

Axions and axion-like particles are well-motivated dark matter candidates. We propose an experiment that uses single photon detection interferometry to search for axions and axion-like particles in the galactic halo. We show that photon counting with a dark rate of 6E-6 Hz can improve the quantum sensitivity of axion interferometry by a factor of 15 compared to the quantum-enhanced heterodyne readout for 5-m long optical resonators. The proposed experimental method has the potential to be scaled up to kilometer-long facilities, enabling the detection or setting of constraints on the axion-photon coupling coefficient of 1E-17 - 1E-16 GeV-1 for axion masses ranging from 0.1 to 1 neV.