14 citations · 15 across the 9 of their papers we have counts for
9 papers
Topological phases and quantum criticality from Chern-Simons-matter theories
Yunchao Hao, Yingcheng Li, Kangle Li +1
Motivated by recent numerical studies where various Chern-Simons-matter theories emerge, we analytically study topological phases and quantum criticality in two-dimensional…
Microscopic universal theory of symmetry-enriched topological quantum spin liquids
Yingcheng Li, Liujun Zou
An ultimate theory of a phase of matter should describe all its universal properties via quantities that are measurable numerically and experimentally. In this work, we present a m…
Lieb-Schultz-Mattis Anomalies and Anomaly Matching
Liujun Zou, Meng Cheng
Lieb-Schultz-Mattis (LSM) anomalies are powerful symmetry-based constraints on the correlation, entanglement and dynamics of quantum many-body systems. In this review, we discuss v…
When does a lattice higher-form symmetry flow to a topological higher-form symmetry at low energies?
Ruizhi Liu, Pok Man Tam, Ho Tat Lam +1
We study the lattice version of higher-form symmetries on tensor-product Hilbert spaces. Interestingly, at low energies, these symmetries may not flow to the topological higher-for…
Twisted locality-preserving automorphisms, anomaly index, and generalized Lieb-Schultz-Mattis theorems with anti-unitary symmetries
Ruizhi Liu, Jinmin Yi, Liujun Zou
Symmetries and their anomalies are powerful tools to understand quantum matter. In this work, for quantum spin chains, we define twisted locality-preserving automorphisms and their…
Universal Decay of Mutual Information and Conditional Mutual Information in Gapped Pure- and Mixed-State Quantum Matter
Jinmin Yi, Kangle Li, Chuan Liu +2
For spin and fermionic systems in any spatial dimension, we establish that the superpolynomial decay behavior of mutual information and conditional mutual information is a universa…
Symmetry-enforced minimal entanglement and correlation in quantum spin chains
Kangle Li, Liujun Zou
The interplay between symmetry, entanglement and correlation is an interesting and important topic in quantum many-body physics. Within the framework of matrix product states, in t…
Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement
Ruizhi Liu, Jinmin Yi, Shiyu Zhou +1
We establish multiple interrelated, fundamental results in quantum many-body systems that can have long-range interactions. For a sufficiently long quantum spin chain, we first sho…
Symmetries and anomalies of Kitaev spin- models: Identifying symmetry-enforced exotic quantum matter
Ruizhi Liu, Ho Tat Lam, Han Ma +1
We analyze the internal symmetries and their anomalies in the Kitaev spin- models. Importantly, these models have a lattice version of a 1-form symmetry, denoted…