JETP Letters

, Volume 88, Issue 5, pp 338–341 | Cite as

Nonexponential decay in the quantum dynamics of nanosystems

  • V. A. Benderskii
  • E. I. Kats


The quantum dynamical problem is solved for a system coupled to an equidistant-spectrum bath with the energy difference Ω between the neighboring levels n and n + 1 and the coupling matrix elements C n 2 = C 2(1 + Δ−2 n 2)−1 constraining the energy interval comprising the bath states interacting with the system. The evolution in the strong-coupling limit is determined by two parameters, Γ = πC 2/Ω ≫ 1 and α = Γ/Δ. If α ≠ 0, then the decrease in the population in the initial cycle with a period of 2π/Ω is not exponential and the effective rate constant increases with time. The results qualitatively explain the appearance of nonexponential relaxation regimes for a dense-spectrum nanosystem and predict the possibility of the multiple recovery of the initial-state population.

PACS numbers

03.65.-w 82.20.-w 


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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • V. A. Benderskii
    • 1
  • E. I. Kats
    • 2
    • 3
  1. 1.Institute of Problems of Chemical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia
  3. 3.Institut Laue-LangevinGrenoble, Cedex 9France

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