Modulational instability and its suppression for Bose–Einstein condensates under magnetic and optical lattice trapping
Modulational instability and its suppression for Bose–Einstein condensates under magnetic and optical lattice trapping
复制标题
磁光晶格捕获下玻色-爱因斯坦凝聚态的调制不稳定性及其抑制
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
D. Frantzeskakis
中科院分区：
文献类型：
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作者：
A. Trombettoni;Panos Kevrekidis;H. Nistazakis;D. Frantzeskakis
本文研究了在叠加谐波约束条件下描述深光晶格中玻色-爱因斯坦凝聚动力学的离散非线性薛定谔方程的调制不稳定性。我们得到了一个区间的陷阱频率的值，可以实现抑制的调制不稳定性。陷阱频率阈值获得一个特定的，实验上现实的设置，其中原子间散射长度的符号通过Feshbach共振改变。与连续极限的类比和差异被突出显示。
The modulational instability of the discrete nonlinear Schrödinger equation, describing the dynamics of Bose–Einstein condensates in deep optical lattices, is examined in the presence of a superimposed harmonic confinement. We obtain an interval of values of the trap frequency where suppression of the modulational instability can be achieved. The trap frequency thresholds are obtained for a specific, experimentally realistic setup in which the sign of the interatomic scattering length is changed through a Feshbach resonance. Analogies and differences with the continuous limit are highlighted.