On stimulated transitions between the self-trapped states of the nonlinear Schrodinger equation
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 ω, then transitions between the states become possible if the amplitude of the perturbation F exceeds some threshold value Fc(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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