Quantum analysis of the Rydberg atom cavity detector of dark matter axions

Quantum analysis is made on the dynamical system consisting of the cosmic a xions, photons and Rydberg atoms which are interacting in the resonant cavi ty. The time evolution of the number of excited Rydberg atoms is determined , which is due to the axion-converted and thermal background photons. Then, by taking into account the atomic motion in a continuous incident beam, th e detection efficiency of the Rydberg atom cavity detector for the dark mat ter axion search is properly estimated.