Abstract-Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotor with ideal quantum resonance

• Leo Matsuoka^a, 
• Etsuo Segawa^b, 
• Kenta Yuki^a, 
• Norio Konno^c, 
• Nobuaki Obata^b

• ^a Graduate School of Engineering, Hiroshima University, Kagamiyama, Higashi-Hiroshima, 739-8527, Japan
• ^b Graduate School of Information Sciences, Tohoku University, Aoba, Sendai 980-8579, Japan
• ^c Department of Applied Mathematics, Faculty of Engineering, Yokohama National University Hodogaya, Yokohama 240-8501, Japan

http://www.sciencedirect.com/science/article/pii/S0375960116319077

We performed a mathematical analysis of the time-dependent dynamics of a quantum-kicked rotor implemented in a diatomic molecule under the condition of ideal quantum resonance. We examined a model system featuring a diatomic molecule in a periodic train of terahertz pulses, regarding the molecule as a rigid rotor with the state-dependent transition moment and including the effect of the magnetic quantum number M. We derived the explicit expression for the asymptotic distribution of a rotational population by making the transition matrix correspondent with a sequence of ultraspherical polynomials. The mathematical results obtained were validated by numerical simulations.