双电子LSM定理下的玻色子SET到SPT转变
Bosonic SET to SPT Transition under Dyonic LSM Theorem
摘要：
利用大规模量子Monte Carlo模拟方法，研究了一个服从最近发展的双子Lieb-Shultz-Mattis（LSM）定理的量子自旋模型的相图.该定理预言在相图中存在对称性增强/保护拓扑（SET/SPT）相。我们的数值结果揭示了一个一阶量子相变之间的SET和SPT阶段，符合任意子凝聚机制，根据该定理强制SPT阶段。在相图中还存在一个超流体形式的破缺相。SET和SF之间的跃迁是连续的，SPT和SF之间的跃迁是一级跃迁。有趣的是，SET，SPT和SF阶段满足一个关键的端点，其存在可以普遍解释通过理论包含涌现规范场耦合到旋涡场，从而揭示了我们的模型的异国情调的特点，甚至超出了双音LSM的领域。
英文摘要：
Employing large-scale quantum Monte Carlo simulatoins, we study the phase diagram of a quantum spin model which is subject to the recently developed dyonic Lieb-Shultz-Mattis (LSM) theorem. The theorem predicts there are symmetry enriched/protected topological (SET/SPT) phases in the phase diagram. Our numerical results reveal a first order quantum phase transition between SET and SPT phases, consistent with an anyon condensation mechanism that enforces SPT phase according to the theorem. Also there exists in the phase diagram a symmetry-breaking phase in the form of superfluid (SF). The transition between SET and SF is continuous and that between SPT and SF is first order. Interestingly, the SET, SPT and SF phases meet at a critical endpoint, whose presence can be universally explained via theory contains emergent gauge field coupled to vortex fields, and consequently reveals the exotic feature of our model even beyond the realm of dyonic LSM.
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