The Split Property and the Symmetry Breaking¶of the Quantum Spin Chain
The Split Property and the Symmetry Breaking¶of the Quantum Spin Chain
复制标题
量子自旋链的分裂性质和对称性破缺¶
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
T. Matsui
中科院分区：
文献类型：
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作者：
T. Matsui
翻译后摘要：我们考虑的对称性破缺和量子自旋链的纯态的分裂性质之间的关系。我们得到了一个表示论条件，暗示着单侧均匀混合条件导致了对称不变纯态的对称破缺。这是我以前发现的二分法的数学推广。Affleck和E. Lieb和M. Aizenman和B. Nachtergaele的一个特殊类的哈密顿基态。
Abstract: We consider the relationship between the symmetry breaking and the split property of pure states of quantum spin chains. We obtain a representation theoretic condition implying that the half-sided uniform mixing condition leads to symmetry breaking of translationally invariant pure states. This is a mathematical generalization of Dichotomy previously found by I. Affleck and E. Lieb and M. Aizenman and B. Nachtergaele for ground states of a special class of Hamiltonians.