5 papers
Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Xiang-You Huang, Jie-Yu Zhang, Peng Ye
Motivated by recent theoretical and experimental advances, hyperbolic lattices have emerged as a paradigmatic setting in which geometry becomes an active organizing principle of qu…
Fracton Topological Holography
Yu-Tao Hu, Jie-Yu Zhang, Peng Ye
Topological holography (TH), or SymTFT, realizes symmetries and dualities of a quantum system as boundary data of a topological bulk in one higher dimension. We formulate fracton t…
Fusion Rules of Mobility
Jie-Yu Zhang, Peng Ye
In topological phases of matter, fusion rules dictate how anyonic topological charges combine. However, the transformation of quasiparticle mobility under fusion remains largely un…
Spurious Strange Correlators in Symmetry-Protected Topological Phases
Wei-Liang Gao, Jie-Yu Zhang, Zheng-Xin Liu +1
Strange correlator is a powerful tool widely used in detecting symmetry-protected topological (SPT) phases. However, the result of strange correlator crucially relies on the adopti…
Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
Jie-Yu Zhang, Meng-Yuan Li, Peng Ye
In computer and system sciences, higher-order cellular automata (HOCA) are a type of cellular automata that evolve over multiple time steps and generate complex patterns, which hav…