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arXiv · 1208.0991

Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions

Hamid Al-Jibbouri·Ivana Vidanovic·Antun Balaz·Axel Pelster
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Abstract

We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii equation for systems with two- and three-body interactions in an axially-symmetric harmonic trap. To this end, we use a recently developed analytical method [Phys. Rev. A 84, 013618 (2011)], based on both a perturbative expansion and a Poincaré-Lindstedt analysis of a Gaussian variational approach, as well as a detailed numerical study of a set of ordinary differential equations for variational parameters. By changing the anisotropy of the confining potential, we numerically observe and analytically describe strong nonlinear effects: shifts in the frequencies and mode coupling of collective modes, as well as resonances. Furthermore, we discuss in detail the stability of a Bose-Einstein condensate in the presence of an attractive two-body interaction and a repulsive three-body interaction. In particular, we show that a small repulsive three-body interaction is able to significantly extend the stability region of the condensate.

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Hamid Al-Jibbouri, Ivana Vidanovic, Antun Balaz, Axel Pelster. 2013-03-07. Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions. https://doi.org/10.1088/0953-4075%2F46%2F6%2F065303

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