7 papers
Topologically shadowed quantum criticality: A non-compact conformal manifold
Tianyao Fang, Weicheng Ye, Zhengcheng Gu +1
We put forward a proposal for topological quantum critical points (tQCPs) separating non-invertible chiral topological orders in dimensions. We conjecture that these tQCPs…
How to Build Anomalous (3+1)d Topological Quantum Field Theories
Arun Debray, Weicheng Ye, Matthew Yu
We develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite sym…
Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimension
Arun Debray, Matthew Yu, Weicheng Ye
We establish a comprehensive framework for characterizing the infrared (IR) phases of a fermionic quantum theory in three spatial dimensions, based on its quantum anomalies associa…
Universal quantum phase classification on quantum computers from machine learning
Weicheng Ye, Shuwei Liu, Shiyu Zhou +1
The classification of quantum phases of matter remains a fundamental challenge in condensed matter physics. We present a novel framework that combines shadow tomography with modern…
Higher obstructions to conformal boundary conditions and lattice realizations
Ruizhi Liu, Weicheng Ye
Although it is long believed that vanishing of chiral central charges of a 2d conformal field theory (CFT) implies the existence of conformal boundary conditions, there are yet hig…
Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders
Arun Debray, Weicheng Ye, Matthew Yu
We provide a mathematical proposal for the anomaly indicators of symmetries of (2+1)-d fermionic topological orders, and work out the consequences of our proposal in several nontri…