Dynamic chaos in the solution of the Gross-Pitaevskii equation for a periodic potential |
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Authors: | H A Ishkhanyan V P Krainov |
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Institution: | 1.Moscow Institute of Physics and Technology (State University),Dolgoprudny, Moscow oblast,Russia |
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Abstract: | We analytically and numerically investigate the solution to the stationary Gross-Pitaevskii equation for a one-dimensional
potential of the optical lattice in the case of repulsive nonlinearity. From the mathematical viewpoint, this problem is similar
to the well-known problem of the classical mathematical Kapitza pendulum perturbed by a weak high-frequency force. At certain
values of the parameters, dynamic chaos is produced in the considered problem. It is modeled analytically by a nonlinear diffusion
equation. |
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