1999/12/07 by P. V. Elyutin, Elyutin, P. V., A. N. Rogovenko +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9912026
16 pages REVTEX, 5 Postscript figures
arxiv created 1999/12/07 · openalex publication_date 1999/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.