嵌套拓扑序
Nested Topological Order
摘要：
在一类具有非阿贝尔离散规范对称性的精确量子格点哈密顿模型中引入了嵌套拓扑序的概念。通过引入规范对称性约化机制，可以部分地破坏模型中存在的拓扑序。当对称性仅在几个岛中降低时，这将边界条件强加给系统的其余部分，从而引起拓扑基态简并。这种简并性与岛屿之间的拓扑通量的存在有关，或者与岛屿上的隐藏电荷有关。此外，岛变形引起了拓扑量子计算超越准粒子的扩展。
英文摘要：
We introduce the concept of nested topological order in a class of exact quantum lattice Hamiltonian models with non-abelian discrete gauge symmetry. The topological order present in the models can be partially destroyed by introducing a gauge symmetry reduction mechanism. When symmetry is reduced in several islands only, this imposes boundary conditions to the rest of the system giving rise to topological ground state degeneracy. This degeneracy is related to the existence of topological fluxes in between islands or, alternatively, hidden charges at islands. Additionally, island deformations give rise to an extension of topological quantum computation beyond quasiparticles.
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