Ground-state entanglement constrains low-energy excitations
Ground-state entanglement constrains low-energy excitations
复制标题
基态纠缠限制低能激发
DOI：
10.1103/physrevb.92.115139
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发表时间：
2014
影响因子：
3.7
通讯作者：
Benjamin J. Brown
中科院分区：
文献类型：
--
作者：
Isaac H. Kim;Benjamin J. Brown
对于一般的量子多体系统，我们表明其地面纠缠对低能激发构成了基本限制。对于二维系统，我们的结果意味着，任何支持任何人的系统都必须具有非呈拓扑纠缠的熵。我们通过将其应用于三维量子多体系统来证明该论点的普遍性，并表明存在与其物理边界相关的两对基态拓扑不变的。从这对，可以确定给定边界是否可以吸收类似点状或类似线的激发。
For a general quantum many-body system, we show that its ground-state entanglement imposes a fundamental constraint on the low-energy excitations. For two-dimensional systems, our result implies that any system that supports anyons must have a nonvanishing topological entanglement entropy. We demonstrate the generality of this argument by applying it to three-dimensional quantum many-body systems, and showing that there is a pair of ground state topological invariants that are associated to their physical boundaries. From the pair, one can determine whether the given boundary can or cannot absorb point-like or line-like excitations.