细长耦合凝聚体Josephson振荡的调制不稳定性
Modulational instabilities in Josephson oscillations of elongated coupled condensates
摘要：
研究了两个耦合细长凝聚体的约瑟夫森振荡。线性化计算表明，在凝聚体的长度上均匀的振荡模式（均匀约瑟夫森模式）是不稳定的：非零纵向动量的模式呈指数增长。在强相互作用的限制下，我们给出了不稳定时间常数和不稳定波矢的标度律。在线性化方法之外，数值计算显示阻尼递归行为：约瑟夫森模式中的能量呈现阻尼振荡。最后，我们推导出约束的冷凝，以防止不稳定性的条件。
英文摘要：
We study the Josephson oscillations of two coupled elongated condensates. Linearized calculations show that the oscillating mode uniform over the length of the condensates (uniform Josephson mode) is unstable : modes of non zero longitudinal momentum grow exponentially. In the limit of strong atom interactions, we give scaling laws for the instability time constant and unstable wave vectors. Beyond the linearized approach, numerical calculations show a damped recurrence behavior : the energy in the Josephson mode presents damped oscillations. Finally, we derive conditions on the confinement of the condensates to prevent instabilities.
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