Integrodifferential equation in the multimode Jaynes-Cummings model
Katsuya Hasebe, Akihiro Nakayama, Toshiyuki Okubo, Motoomi Yamanoi · Physical Review A · 2022
We investigate the multimode Jaynes-Cummings model. The population of the excited state of an atom is expressed by an integrodifferential equation. The exact solution is found in an idealized case by taking the infinite limit of the number of modes. The solution shows a mathematical reason why the kinklike behavior of the excited-state population appears. We also confirm that numerical calculations agree with the exact solution.