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The Excitation Spectrum for Bose Fluids with Weak Interactions

机译:弱相互作用的玻色液的激发光谱

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摘要

We review recent progress towards a rigorous understanding of the excitation spectrum of bosonic quantum many-body systems. In particular, we explain how one can rigorously establish the predictions resulting from the Bogoliubov approximation in the mean field limit. The latter predicts that the spectrum is made up of elementary excitations, whose energy behaves linearly in the momentum for small momentum. This property is crucial for the superfluid behavior of the system. We also discuss a list of open problems in this field.
机译:我们回顾了对严格了解玻色子量子多体系统的激发光谱的最新进展。特别是,我们解释了如何在平均场限制中严格建立由Bogoliubov近似得出的预测。后者预测频谱由基本激励组成,基本激励的能量在小动量时在动量中呈线性变化。此属性对于系统的超流体行为至关重要。我们还将讨论该领域中未解决问题的列表。

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