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摘要翻译：
提出了量子相变与保真度的二阶导数（或“保真度磁化率”）之间的一般关系。从而证明了保真度磁化率在量子相变表征中的有效性和局限性。此外，基于玻色化方法，得到了一类一维无间隙系统Tomonaga-Luttinger液体的保真度和保真度灵敏度的一般公式。将这些公式应用于一维自旋-1/2$xxz$模型，我们发现即使是Beresinskii-Kosterlitz-Thousless型的量子相变，也可以用保真度磁化率来表示。
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英文标题：
《Ground-state fidelity in one-dimensional gapless model》
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作者：
Min-Fong Yang
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Quantum Physics 量子物理学
分类描述：Description coming soon
描述即将到来
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
A general relation between quantum phase transitions and the second derivative of the fidelity (or the "fidelity susceptibility") is proposed. The validity and the limitation of the fidelity susceptibility in characterizing quantum phase transitions is thus established. Moreover, based on the bosonization method, general formulas of the fidelity and the fidelity susceptibility are obtained for a class of one-dimensional gapless systems known as the Tomonaga-Luttinger liquid. Applying these formulas to the one-dimensional spin-1/2 $XXZ$ model, we find that quantum phase transitions, even of the Beresinskii-Kosterlitz-Thouless type, can be signaled by the fidelity susceptibility.
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PDF链接：
https://arxiv.org/pdf/707.4574
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