In this study, we clarify the selection rules of optical transitions from the ground state to the magnetic
excited states in the quasi-one-dimensional quantum Ising-like antiferromagnet BaCo2V2O8 with spin S = 1
2 using the high-field electron spin resonance measurement with illuminating polarized electromagnetic waves.We demonstrate that the unconventional magnetic excitation via the pair creation of quasipaticles at wave numbers qz = π/2 and π in the field-induced quantum critical state can couple with both oscillating magnetic and electric fields. Our density matrix renormalization group calculations indicate that the observed selection rules can be explained by two- and four-fold periodical spin interactions, originating from the screw chain structure in BaCo2V2O8, in addition to the magnetoelectric coupling between spins and electric dipoles.