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

Leo Matsuoka, Etsuo Segawa, Kenta Yuki, Norio Konno, Nobuaki Obata

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1773-1779
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume381
Issue number21
DOIs
Publication statusPublished - 2017 Jun 9

Keywords

  • Molecular rotation
  • Orthogonal polynomials
  • Quantum walks

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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