横向磁场中的n团簇模型
n-cluster models in a transverse magnetic field
摘要：
本文分析了一类一维完全解析可解的n-团簇模型，即横向磁场中多体团簇相互作用与均匀横向磁场竞争的模型。这些模型，独立的集群大小n + 2，exibit的量子相变，分离顺磁相从一个集群，这对应于一个有序相或一个有序保护的拓扑有序相，分别为偶数或奇数n。由于自旋关联函数的对称性，我们证明了这些模型不具有真正的n+2体纠缠。相反，当磁场足够强时，在星系团端点的自旋之间会出现非零的并发。横向磁场中的n-团簇模型由于其解析性和独特的纠缠特性，成为研究非平凡自旋有序的原型，也是量子信息应用的潜在参考系。
英文摘要：
In this paper we analize a family of one dimensional fully analytically solvable models, named the n-cluster models in a transverse magnetic field, in which a many-body cluster interaction competes with a uniform transverse magnetic field. These models, independently by the cluster size n + 2, exibit a quantum phase transition, that separates a paramagnetic phase from a cluster one, that corresponds to a nematic ordered phase or a symmetry-protected topological ordered phase for even or odd n respectively. Due to the symmetries of the spin correlation functions, we prove that these models have no genuine n+2-partite entanglement. On the contrary, a non vanishing concurrence arises between spins at the endpoints of the cluster, for a magnetic field strong enough. Due to their analyticity and peculiar entanglement properties, the n-cluster models in a transverse magnetic field serve as a prototype for studying non trivial-spin orderings and as a potential reference system for the applications of quantum information tasks.
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