TY - JOUR

T1 - Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotor with ideal quantum resonance

AU - Matsuoka, Leo

AU - Segawa, Etsuo

AU - Yuki, Kenta

AU - Konno, Norio

AU - Obata, Nobuaki

N1 - Funding Information:
We thank Hayato Saigo and Akira Ichihara for their useful discussion. We also thank the Cooperation with Mathematics Program (2016W07), the Institute of Statistical Mathematics. This work was supported by JSPS KAKENHI Grant No. JP26420875. This work was also supported by the joint research project “Exploring of quantum walks: approach to a material science”, the Institute of Mathematics for Industry, Kyushu University. ES, NK, and NO are supported by the Japan–Korea Basic Scientific Cooperation Program “Non-commutative Stochastic Analysis; New Aspects of Quantum White Noise and Quantum Walk” (2015–2016). We would like to thank Editage (www.editage.jp) for English-language editing.
Publisher Copyright:
© 2017 Elsevier B.V.

PY - 2017/6/9

Y1 - 2017/6/9

N2 - 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.

AB - 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.

KW - Molecular rotation

KW - Orthogonal polynomials

KW - Quantum walks

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U2 - 10.1016/j.physleta.2017.03.032

DO - 10.1016/j.physleta.2017.03.032

M3 - Article

AN - SCOPUS:85016574439

SN - 0375-9601

VL - 381

SP - 1773

EP - 1779

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 21

ER -