Thursday, March 23, 2017

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

  • 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

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.

No comments: