论文标题
双线性 - 生物 - 生物自旋1哈密顿的阳性阶段中的散装对应关系
Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian
论文作者
论文摘要
Haldane相是自旋链系统的对称性保护拓扑（SPT）阶段的原型。它可以通过几个具有纠缠频谱退化的对称性来保护。在这里，我们深入探索了Spin-1 AKLT和双线性 - 生物 - 生物 - 汉密尔顿人的这种退化性，并显示了散装对应关系的出现，与周期性链的纠缠汉密尔顿的低能特性以及开放式链的物理汉密尔顿人的低能特性有关。我们发现，可以用两个旋转频谱来描述两个旋转1/2在开放链末端的有效旋转。在非连续分区的情况下，我们发现纠缠哈密顿量是由Spin-1/2 Heisenberg Hamiltonian给出的，这表明SPT阶段与保形场理论之间存在关系。我们最终研究了字符串顺序参数以及与散装对应关系的关系。
The Haldane phase is the prototype of symmetry protected topological (SPT) phases of spin chain systems. It can be protected by several symmetries having in common the degeneracy of the entanglement spectrum. Here we explore in depth this degeneracy for the spin-1 AKLT and bilinear-biquadratic Hamiltonians and show the emergence of a bulk-edge correspondence that relates the low energy properties of the entanglement Hamiltonian of a periodic chain and that of the physical Hamiltonian of an open chain. We find that the entanglement spectrum can be described in terms of two spins-1/2 behaving as the effective spins at the end of the open chain. In the case of non-contiguous partitions, we find that the entanglement Hamiltonian is given by the spin-1/2 Heisenberg Hamiltonian, which suggests a relationship between SPT phases and conformal field theory. We finally investigate the string order parameter and the relation with the bulk-edge correspondence.
