Optical interferometry used in the gravitational wave detectors is one of the most accurate measuring science. It enables us to detect a tiny deviation of phase velocity of laser light, and we can apply such technological innovation to axion detection by measuring the photon’s polarization caused by axion dark matter. In this talk, we clarify if the gravitational detectors can test a photon’s birefringence caused by a new type of Majoron, electromagnetic-anomalous and behaving as dark matter, with current or future missions or not.