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Matter-wave soliton bouncing on a reflecting surface under the effect of gravity

2014/06/26 by A. Benseghir, W. A. T. Wan Abdullah, B. B. Baizakov +1
Physics and Astronomy · #Acceleration #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer simulation #Dynamics (music) #Fermi Gamma-ray Space Telescope #Geometry #Matter wave #Mechanics #Nonlinear system #Numerical analysis #Physics #Quantum #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum mechanics #Soliton #Surface (topology) #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.90.023607

published as Phys. Rev. A 90, 023607 (2014) · 8 pages, 5 figures

arxiv created 2014/06/26 · openalex publication_date 2014/08/06 · arxiv updated 2014/09/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The dynamics of a matter-wave soliton bouncing on the reflecting surface (atomic mirror) under the effect of gravity has been studied by analytical and numerical means. The analytical description is based on the variational approach. Resonant oscillations of the soliton's center of mass and width, induced by appropriate modulation of the atomic scattering length and the slope of the linear potential, are analyzed. In numerical experiments we observe the Fermi-type acceleration of the soliton when the vertical position of the reflecting surface is periodically varied in time. Analytical predictions are compared to the results of numerical simulations of the Gross-Pitaevskii equation and qualitative agreement between them is found.

Citations