论文标题
一维量子自旋1/2链与各向异性幂律远程相互作用的纠缠和相关性
Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
论文作者
论文摘要
通过采用密度矩阵重新归一化组方法，计算具有一维自旋1/2 XXZ链的相关性，纠缠熵和保真度易感性。特别是，这种远程相互作用被分配给铁磁性的横向成分，而对于纵向旋转成分，它可以是铁或抗铁磁磁性。与相互作用的各向异性建立了两个基态相图，这些相对于相互作用的各向异性不仅改变了与短距离相互作用的对应物的相边界，还导致外来相的出现。我们发现，Z组分的远距离相互作用会导致Wigner晶相，而横向相互作用可能会破坏连续的对称性，从而导致连续的对称性破坏阶段。
The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In particular, this long-range interaction is assigned to ferromagnetic for transversal components, while it can be either ferro- or antiferromagnetic for the longitudinal spin component. Two ground-state phase diagrams are established versus the anisotropy of the interactions which not only changes the phase boundaries of the counterparts with short-range interactions, but also leads to the emergence of exotic phases. We found that the long-range interactions of the z-component results in a Wigner crystal phase, whereas the transversal one may break a continuous symmetry, resulting in a continuous symmetry breaking phase.
