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Faraday Waves in Cold-Atom Systems with Two- and Three-Body Interactions
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  • 作者:Lauro Tomio ; A. Gammal ; F. K. Abdullaev
  • 刊名:Few-Body Systems
  • 出版年:2017
  • 出版时间:March 2017
  • 年:2017
  • 卷:58
  • 期:2
  • 全文大小:
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Particle and Nuclear Physics; Nuclear Physics, Heavy Ions, Hadrons; Atomic, Molecular, Optical and Plasma Physics;
  • 出版者:Springer Vienna
  • ISSN:1432-5411
  • 卷排序:58
文摘
We report an investigation on Bose-Einstein condensates with two-body (cubic) and three-body (quintic) interactions in the corresponding nonlinear Schrödinger equation, considering \(s-\)wave two-body scattering length \(a_s\) periodically varying in time. For the quintic interacting term, the dependence on \(a_s\) was considered within two models, being quadratic or quartic. It was shown that parametric instabilities can lead to th e generation of Faraday wave resonances in this system, with wavelengths depending on the background scattering length, as well as on the corresponding modulation parameters. A few sample results are shown here for repulsive \(a_s\), in case of quadratic and quartic three-body interactions. The effect of dissipation is also verified on the amplitude of the resonances. Analytical predictions for the resonance positions are confirmed by our numerical simulations.

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