dorsal/arxiv
View SchemaOn stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation
| Authors | P. V. Elyutin, A. N. Rogovenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912026 |
| URL | https://arxiv.org/abs/quant-ph/9912026 |
Abstract
The studied model describes a particle that obeys a one-dimensional nonlinear Schr\"odinger equation in the potential of a double-well. Transitions between the two lowest self-trapped states of this system under the influence of the external time-dependent perturbation are studied in the two-mode approximation. If the perturbation dependence on time is harmonic with the frequency $\omega$, then transitions between the states become possible if the amplitude of the perturbation $F$ exceeds some threshold value $F_c(\omega)$; above the threshold motion of the system becomes chaotic. If the perturbation is a broadband noise, then transitions between the states are possible at arbitrarily small $F$ and occur in the process of the system's energy diffusion.
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"abstract": "The studied model describes a particle that obeys a one-dimensional nonlinear\nSchr\\\"odinger equation in the potential of a double-well. Transitions between\nthe two lowest self-trapped states of this system under the influence of the\nexternal time-dependent perturbation are studied in the two-mode approximation.\nIf the perturbation dependence on time is harmonic with the frequency $\\omega$,\nthen transitions between the states become possible if the amplitude of the\nperturbation $F$ exceeds some threshold value $F_c(\\omega)$; above the\nthreshold motion of the system becomes chaotic. If the perturbation is a\nbroadband noise, then transitions between the states are possible at\narbitrarily small $F$ and occur in the process of the system\u0027s energy\ndiffusion.",
"arxiv_id": "quant-ph/9912026",
"authors": [
"P. V. Elyutin",
"A. N. Rogovenko"
],
"categories": [
"quant-ph"
],
"title": "On stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/quant-ph/9912026"
},
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