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    Sudden perturbation approximations for interaction of atoms with intense ultrashort electromagnetic pulses

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    Authors
    Lugovskoy, Andrey
    Bray, I.
    Date
    2015
    Type
    Journal Article
    
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    Citation
    Lugovskoy, A. and Bray, I. 2015. Sudden perturbation approximations for interaction of atoms with intense ultrashort electromagnetic pulses. European Physical Journal D. 69 (12).
    Source Title
    European Physical Journal D
    DOI
    10.1140/epjd/e2015-60471-2
    ISSN
    1434-6060
    School
    Department of Physics and Astronomy
    URI
    http://hdl.handle.net/20.500.11937/13771
    Collection
    • Curtin Research Publications
    Abstract

    © 2015 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. The response of an atom to the action of a pulse shorter than the Kepler period of the optically-active electron is often treated analytically using the sudden-perturbation approximation (SPA). It relies on the truncation of the evolution operator expansion in a series over the dimensionless parameter e sys t L, where e sys is the system-dependent characteristic energy and t L is the pulse duration. We examine the SPA with the use of a basis-based solution of the time-dependent Schrödinger equation (TDSE) for the case of a hydrogen atom interacting with two different types of ultrashort pulses, a half-cycle pulse and a few-cycle pulse. The length-gauge form of the electron-field interaction potential is used. The SPA transition probabilities are shown to deviate slightly but systematically from the correct values for the positive-energy states in the region where the sudden-perturbation condition is violated. It is shown that the SPA expectation value of the electron displacement as a function of time differ qualitatively from what follows from the ab initio TDSE solution. Nevertheless, the SPA is shown to be a good approximation for the description of the expectation value of the electron momentum.

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