论文标题
SPIN-1抗磁性海森堡链的状态空间几何形状
State Space Geometry of the Spin-1 Antiferromagnetic Heisenberg Chain
论文作者
论文摘要
我们研究具有单轴各向异性的Spin-1抗磁性海森堡链的相图，并以平均量子Fisher信息密度见证的真实多部分纠缠而施加了磁场。通过将[1，2]中研究的歧管概括为旋转1的许多身体案例，我们将海森堡链基地面附近的状态空间曲率连接到真正的多部分纠缠。我们的分析表明，量子临界点和对称性保护拓扑（SPT）相具有较大的状态空间曲率，而可分离阶段则完全平坦，从而深入了解了状态空间曲率的物理解释。我们进一步表明，单轴各向异性的存在增强了SPT相中的纠缠，并且在存在均匀磁场的情况下没有减少。大型磁场诱导的镁冷凝水相显示从高斯临界点散发出来，并在参数空间的稳健区域上表现出巨大的多部分纠缠。
We study the phase diagram of the spin-1 antiferromagnetic Heisenberg chain with uniaxial anisotropy and applied magnetic field in terms of the genuine multipartite entanglement as witnessed by the mean quantum Fisher information density. By generalizing the manifold studied in [1, 2] to the many body case for spin 1, we connect the state space curvature in the vicinity of the ground state of the Heisenberg chain to the genuine multipartite entanglement. Our analysis demonstrates that the quantum critical points and symmetry protected topological (SPT) phase exhibit large state space curvature, while the separable phases are completely flat, offering insight into the physical interpretation of state space curvature. We further show that the entanglement in the SPT phase is enhanced by the presence of uniaxial anisotropy, and undiminished in the presence of uniform magnetic fields. The magnon condensate phase induced by large fields is shown to emanate from the Gaussian critical point, and exhibits massive multipartite entanglement over a robust region of the parameter space.
