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Chinese Physics Letters

Modulational Instability of （1 ＋ 1）-Dimensional Bose-Einstein Condensate with Three-Body Interatomic Interaction

吴雷, 张解放

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

有 three-bodyinteratomic 相互作用和外部泛音套住潜力的 Bose 爱因斯坦冷凝物的 modulational 不稳定性被调查。两个我们外部潜力也将引起调整的刺激的分析、数字的结果表演结盟不稳定的模式或制止调整联盟者从成长的不稳定的模式。

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We investigate the modulational instability (MI) of trapped Bose–Einstein condensates with three-body and higher-order interactions employing both semi-analytical and numerical methods. Using the time-dependent variational approach, we derive variational equations for the time evolution of the amplitude, phase of modulational perturbation, and effective potential of the system. By means of an effective potential, we retrieve the corresponding MI condition of the dynamical system under consideration. The interplay between three-body interaction and higher-order interaction is discussed in detail. The semi-analytical predictions are confirmed through numerical simulations.
Motivated by the recent experiment [Nature 530 (2016) 194] in which a stable droplet in a dipolar quantum gas has been created by the interaction-induced instability, we focus on the modulation instability of an optically-trapped dipolar Bose–Einstein condensate with three-body interaction. Within the mean-field level, we analytically solve the discrete cubic-quintic Gross–Pitaevskii equation with dipole–dipole interaction loaded into a deep optical lattice and show how combined effects of the three-body interaction and dipole–dipole interaction on the condition of modulational instability. Our results show that the interplay of the three-body interaction and dipole–dipole interaction can dramatically change the modulation instability condition compared with the ordinary Gross–Pitaevskii equation. We believe that the predicted results in this work can be useful for the future possible experiment of loading a Bose–Einstein condensate of 164 Dy atoms with strong magnetic dipole–dipole interaction into an optical lattice.