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On stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation

P. V. Elyutin·A. N. Rogovenko
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Abstract

The studied model describes a particle that obeys a one-dimensional nonlinear Schrödinger 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 $ω$, then transitions between the states become possible if the amplitude of the perturbation $F$ exceeds some threshold value $F_c(ω)$; 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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P. V. Elyutin, A. N. Rogovenko. 1999-12-07. On stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation. https://arxiv.org/abs/quant-ph/9912026

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