dorsal/arxiv
View SchemaFloquet Scattering and Classical-Quantum correspondence in strong time periodic fields
| Authors | Agapi Emmanouilidou, L. E. Reichl |
|---|---|
| Categories | |
| ArXiv ID | physics/0109016 |
| URL | https://arxiv.org/abs/physics/0109016 |
| DOI | 10.1103/PhysRevA.65.033405 |
| Journal | Phys. Rev. A, 65, 33405 (2002) |
Abstract
We study the scattering of an electron from a one dimensional inverted Gaussian atomic potential in the presence of strong time periodic electric fields. Using Floquet theory, we construct the Floquet Scattering matrix in the Kramers-Henneberger frame. We compute the transmission coefficients as a function of electron incident energy and find that they display asymmetric Fano resonances due to the electron interaction with the driving field. We find that the Fano resonances are associated with zero-pole pairs of the Floquet Scattering matrix in the complex energy plane. Another way we "probe" the complex spectrum of the system is by computing the Wigner-Smith delay times. Finally we find that the eigenphases of the Floquet Scattering matrix undergo a number of "avoided crossings" as a function of electron Floquet energy that increases with increasing strength of the driving field. These "avoided crossings" appear to be quantum manifestations of the destruction of the constants of motion and the onset of chaos in classical phase space.
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"abstract": "We study the scattering of an electron from a one dimensional inverted\nGaussian atomic potential in the presence of strong time periodic electric\nfields. Using Floquet theory, we construct the Floquet Scattering matrix in the\nKramers-Henneberger frame. We compute the transmission coefficients as a\nfunction of electron incident energy and find that they display asymmetric Fano\nresonances due to the electron interaction with the driving field. We find that\nthe Fano resonances are associated with zero-pole pairs of the Floquet\nScattering matrix in the complex energy plane. Another way we \"probe\" the\ncomplex spectrum of the system is by computing the Wigner-Smith delay times.\nFinally we find that the eigenphases of the Floquet Scattering matrix undergo a\nnumber of \"avoided crossings\" as a function of electron Floquet energy that\nincreases with increasing strength of the driving field. These \"avoided\ncrossings\" appear to be quantum manifestations of the destruction of the\nconstants of motion and the onset of chaos in classical phase space.",
"arxiv_id": "physics/0109016",
"authors": [
"Agapi Emmanouilidou",
"L. E. Reichl"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.65.033405",
"journal_ref": "Phys. Rev. A, 65, 33405 (2002)",
"title": "Floquet Scattering and Classical-Quantum correspondence in strong time periodic fields",
"url": "https://arxiv.org/abs/physics/0109016"
},
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