AI 中文总结
研究2+1维Z2格点规范理论中涌现二聚体的统计特性，借助张量网络方法绘制相图，识别新型有隙结晶相，提出淬火方案探测二聚体内部结构。
AI 中文摘要
当玻色或费米微观粒子被禁闭成涌现玻色复合子时，它们的统计特性如何保留？我们在2+1维Z2格点规范理论的强耦合极限下研究该问题，其中电荷被禁闭成可由有效二聚体模型描述的紧密束缚对。我们发现， underlying物质的统计特性完全编码在单个局域 hopping 相位φ中：玻色子对应φ=0，费米子对应φ=π，而相互作用与统计无关。将φ视为在两者间插值的连续参数，我们借助张量网络方法绘制基态相图。角度φ本身驱动二聚体超流体与二聚体电荷密度波态之间的转变，而磁耦合将相邻二聚体束缚成共振对，与二聚体间排斥力竞争。我们识别出一种新型有隙相，其中二聚对结晶成共振 plaquettes 的有序模式。最后，我们提出一种淬火方案，相同二聚体构型会因组成粒子的统计特性以显著不同方式演化，这为探测二聚体内部结构提供了动力学探针，可在天然实现玻色自由度的模拟器中通过实时信号检测有序相。
英文摘要
How does the Bose or Fermi statistics of microscopic particles survive when confinement binds them into emergent bosonic composites? We address this question in the strong-coupling limit of a $2+1$D $\mathbb{Z}_2$ lattice gauge theory, where charges are confined into tightly bound pairs that can be described by an effective dimer model. We find that the statistics of the underlying matter is encoded entirely in a single local hopping phase $φ$ -$0$ for bosons, $π$ for fermions- while interactions remain statistics-independent. Treating $φ$ as a continuous parameter that interpolates between the two, we map the ground-state phase diagram with the help of tensor-network methods. The angle $φ$ itself drives a transition between a dimer-superfluid and dimer charge density wave state, while the magnetic coupling binds neighboring dimers into resonating pairs, in competition with the inter-dimer repulsion. We identify a novel gapped phase in which dimer pairs crystallize into an ordered pattern of resonating plaquettes. Finally, we propose a quench protocol under which identical dimer configurations evolve in markedly different ways depending on the statistics of their constituents. This provides a dynamical probe of the internal structure of dimers, and detects ordered phases through real time signatures, within reach of simulators that natively realize bosonic degrees of freedom.
