RECORD
Chaotic Behavior of a One-dimensional Model Atom in an Intense Field
chao-dyn · Submitted 7 Jan 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold ionization spectra and high-order harmonic generation are calculated from this model. They are qualitatively in agreement with the quantum results and experiments. In particular, we find that this model is characterized by chaotic scattering. Modern nonlinear theory is used to analyze this dynamical system. It is found that singular self-similar fractal structure exists in the phase-dependence energy spectra, and the unstable manifolds constitute the chaotic scattering pattern. Our results also demonstrate a close connection of irregular trajectories with the energy spectra and high-order harmonic generation. We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. | contribution 0.61 | 0.86 | 0.05 | asserted 1.00 |
| s1 | The above-threshold ionization spectra and high-order harmonic generation are calculated from this model. | result 0.34 | 0.93 | 0.03 | asserted 1.00 |
| s2 | They are qualitatively in agreement with the quantum results and experiments. | result 0.82 | 0.68 | 0.05 | asserted 0.77 |
| s3 | In particular, we find that this model is characterized by chaotic scattering. | result 1.00 | 0.95 | 0.27 | asserted 1.00 |
| s4 | Modern nonlinear theory is used to analyze this dynamical system. | method 0.98 | 0.64 | 0.02 | asserted 0.95 |
| s5 | It is found that singular self-similar fractal structure exists in the phase-dependence energy spectra, and the unstable manifolds constitute the chaotic scattering pattern. | result 0.99 | 0.92 | 0.11 | asserted 1.00 |
| s6 | Our results also demonstrate a close connection of irregular trajectories with the energy spectra and high-order harmonic generation. | result 0.87 | 0.93 | 0.08 | asserted 1.00 |
| s7 | We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization. | interpretation 0.99 | 0.84 | 0.95 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold ionization spectra and high-order harmonic generation are calculated from this model. They are qualitatively in agreement with the quantum results and experiments. In particular, we find that this model is characterized by chaotic scattering. Modern nonlinear theory is used to analyze this dynamical system. It is found that singular self-similar fractal structure exists in the phase-dependence energy spectra, and the unstable manifolds constitute the chaotic scattering pattern. Our results also demonstrate a close connection of irregular trajectories with the energy spectra and high-order harmonic generation. We conclude that the chaotic behavior plays an important role in this one-dimensional model of optical field ionization.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.