Ground State Degeneracy in the Levin-Wen Model for Topological Phases
Ground State Degeneracy in the Levin-Wen Model for Topological Phases
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DOI：
10.1103/physrevb.85.075107
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发表时间：
2011-05
影响因子：
3.7
通讯作者：
Yuting Hu;S. D. Stirling;Yong-Shi Wu
中科院分区：
文献类型：
--
作者：
Yuting Hu;S. D. Stirling;Yong-Shi Wu
We study the properties of topological phases by calculating the ground-state degeneracy (GSD) of the two-dimensional Levin-Wen (LW) model. Here it is explicitly shown that the GSD depends only on the spatial topology of the system. Then we show that the ground state on a sphere is always nondegenerate. Moreover, we study an example associated with a quantum group, and show that the GSD on a torus agrees with that of the doubled Chern-Simons theory, which is consistent with the conjectured equivalence between the LW model associated with a quantum group and the doubled Chern-Simons theory.
