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Analytical results for the dynamics of parabolic level-crossing model

Kam, Chon-Fai ; Chen, Yang

New journal of physics, 2020-02, Vol.22 (2), p.23021 [Periódico revisado por pares]

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Título:
Analytical results for the dynamics of parabolic level-crossing model
Autor: Kam, Chon-Fai ; Chen, Yang
Assuntos: Approximation ; Bessel functions ; Computer simulation ; Dynamic tests ; Hypergeometric functions ; Level crossings ; Mathematical models ; non-adiabatic transitions ; parabolic model ; two-level model
É parte de: New journal of physics, 2020-02, Vol.22 (2), p.23021
Notas: NJP2-100001.R1
Descrição: We study the dynamics of a two-level crossing model with a parabolic separation of the diabatic energies. The solutions are expressed in terms of the tri-confluent Heun equations-the generalization of the confluent hypergeometric equations. We obtain analytical approximations for the state populations in terms of Airy and Bessel functions. Applicable expressions are derived for a large part of the parameter space. We also provide simple formulas which connect local solution in different time regimes. The validity of the analytical approximations is shown by comparing them to numerical simulations.
Editor: Bristol: IOP Publishing
Idioma: Inglês

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