We provide a guideline for generating entanglement in quantum many-body states by applying the key ideas of the Higgs mechanism to systems without gauge structures. By demoting Z2 and U (1) gauge structures, we construct models with global Z2 X Z2 and global U (1) X Z symmetries respectively, which exhibit symmetry-protected-topological and gapless states. We also discuss the generalization of the model to different symmetries and lattices, as well as their potential applications to quantum simulators.
We provide a guideline to generate entanglement of quantum many-body states by applying key ideas of the Higgs mechanism to systems without gauge structures. By demoting a Z2 gauge structure, the model with the global Z2 X Z2 symmetry is constructed on a square lattice. We show that its ground state is a symmetry-protected-topological state protected by the global Z2 X Z2 symmetry and translational symmetry, in contrast to the previous work where one-form symmetry is introduced for protection. Furthermore, by demoting a U (1) gauge structure, an intriguing gapless state with the global U (1) X Z is constructed. We discuss the generalization of our model to different symmetries and lattices. Plausible applications to quantum simulators, such as Rydberg atoms and trapped ions, are also discussed.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据