We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and compare its predictions to a numerical simulation of a realistic trapped system. While the comparisons show a reasonable agreement between the two models, they also manifest the existence of several anomalous Bogoliubov modes in the spectrum. These modes show degeneracy in both energy and momentum together with self-localization in the coordinate space.

中文翻译：

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耦合拉长玻色-爱因斯坦凝聚物中准粒子的色散关系和自定域

我们目前对Bogoliubov准粒子在两个耦合的加长Bose-Einstein冷凝物中的光谱和分散度进行详细研究。我们开发了一种可解析的模型，该模型可近似求解两个无限大的均匀凝结水，并将其预测结果与实际捕集系统的数值模拟进行比较。尽管比较结果表明这两种模型之间存在合理的一致性，但它们也表明光谱中存在几种异常的Bogoliubov模式。这些模式显示了能量和动量的简并性以及坐标空间中的自定位。