伽利略不变可积模型中元激发的谱
Spectrum of elementary excitations in Galilean-invariant integrable models
摘要：
一维量子液体中的元激发谱在低动量下一般是线性的。它的特征在于可以与基态能量相关的声速。本文研究了伽利略不变可积模型在高动量下的谱。有些令人惊讶的是，我们表明，在任意动量的频谱是完全由基态的属性。我们发现一般的精确关系的几项系数展开的激发能在低动量和任意的相互作用，并表示它们的Luttinger液体参数。将所得公式应用于Lieb-Liniger模型，得到了几个新的结果.
英文摘要：
The spectrum of elementary excitations in one-dimensional quantum liquids is generically linear at low momenta. It is characterized by the sound velocity that can be related to the ground state energy. Here we study the spectrum at higher momenta in Galilean invariant integrable models. Somewhat surprisingly, we show that the spectrum at arbitrary momentum is fully determined by the properties of the ground state. We find general exact relations for the coefficients of several terms in the expansion of the excitation energy at low momenta and arbitrary interaction and express them in terms of the Luttinger liquid parameter. We apply the obtained formulas to the Lieb-Liniger model and obtain several new results.
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