Non-Markoffian theory of quantum beats in molecular fluorescence

Y. Fujimura, T. Akiyama, T. Nakajima, H. Kono, S. H. Lin

研究成果: Article査読

6 被引用数 (Scopus)


We develop a theory of quantum beats in molecular fluorescence taking into account collision effects (such as pure dephasing due to elastic collision) without invoking the Markoff approximation. Model calculations of the time dependent fluorescence from molecules with two excited levels are performed in order to see how the non-Markoffian character in the collision process exerts influence upon the quantum beat pattern. It is suggested that if the pure dephasing between the excited states is a Markoffian "the degree of modulation of the beats" decreases exponentially with time; if it is in the static limit the degree of modulation of the beats decreases as a Gaussian function (the non-Markoffian behavior in the quantum beats). A given case can be classified as either Markoffian or non-Markoffian, depending on the relative magnitudes of the collision duration time τc, the beat frequency ω, and the coupling strength υ which is characteristic of the pure dephasing process. The Markoff approximation holds only if the condition ω<υ<1/τc is satisfied; the non-Markoffian behavior appears in the quantum beat pattern when ω>υ, even if υ2τ2c<1.

ジャーナルThe Journal of Chemical Physics
出版ステータスPublished - 1985

ASJC Scopus subject areas

  • 物理学および天文学(全般)
  • 物理化学および理論化学


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