dorsal/arxiv
View SchemaUnitary time-dependent superconvergent technique for pulse-driven quantum dynamics
| Authors | D. Daems, A. Keller, S. Guérin, H. -R. Jauslin, O. Atabek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301092 |
| URL | https://arxiv.org/abs/quant-ph/0301092 |
| DOI | 10.1103/PhysRevA.67.052505 |
| Journal | Phys. Rev. A 67, 052505 (2003) |
Abstract
We present a superconvergent Kolmogorov-Arnold-Moser type of perturbation theory for time-dependent Hamiltonians. It is strictly unitary upon truncation at an arbitrary order and not restricted to periodic or quasiperiodic Hamiltonians. Moreover, for pulse-driven systems we construct explicitly the KAM transformations involved in the iterative procedure. The technique is illustrated on a two-level model perturbed by a pulsed interaction for which we obtain convergence all the way from the sudden regime to the opposite adiabatic regime.
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"abstract": "We present a superconvergent Kolmogorov-Arnold-Moser type of perturbation\ntheory for time-dependent Hamiltonians. It is strictly unitary upon truncation\nat an arbitrary order and not restricted to periodic or quasiperiodic\nHamiltonians. Moreover, for pulse-driven systems we construct explicitly the\nKAM transformations involved in the iterative procedure. The technique is\nillustrated on a two-level model perturbed by a pulsed interaction for which we\nobtain convergence all the way from the sudden regime to the opposite adiabatic\nregime.",
"arxiv_id": "quant-ph/0301092",
"authors": [
"D. Daems",
"A. Keller",
"S. Gu\u00e9rin",
"H. -R. Jauslin",
"O. Atabek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.052505",
"journal_ref": "Phys. Rev. A 67, 052505 (2003)",
"title": "Unitary time-dependent superconvergent technique for pulse-driven quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/0301092"
},
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