294 citations · 1.3k across the 17 of their papers we have counts for
17 papers
Anyon Quantum Dimensions from an Arbitrary Ground State Wave Function
Shang Liu
Realizing topological orders and topological quantum computation is a central task of modern physics. An important but notoriously hard question in this endeavor is how to diagnose…
Mixed-State Entanglement Measures in Topological Order
Chao Yin, Shang Liu
Quantum entanglement is a particularly useful characterization of topological orders which lack conventional order parameters. In this work, we study the entanglement in topologica…
Towards Non-Invertible Anomalies from Generalized Ising Models
Shang Liu, Wenjie Ji
We present a general approach to the bulk-boundary correspondence of noninvertible topological phases, including both topological and fracton orders. This is achieved by a novel bu…
Pascal's Triangle Fractal Symmetries
Nayan E. Myerson-Jain, Shang Liu, Wenjie Ji +2
We introduce a model of interacting bosons exhibiting an infinite collection of fractal symmetries -- termed "Pascal's triangle symmetries" -- which provides a natural gener…
Quantum Many-Body Scars and Quantum Criticality
Zhiyuan Yao, Lei Pan, Shang Liu +1
In this letter, we study the PXP Hamiltonian with an external magnetic field that exhibits both quantum scar states and quantum criticality. It is known that this model hosts a ser…
Entanglement negativity spectrum of random mixed states: A diagrammatic approach
Hassan Shapourian, Shang Liu, Jonah Kudler-Flam +1
The entanglement properties of random pure states are relevant to a variety of problems ranging from chaotic quantum dynamics to black hole physics. The averaged bipartite entangle…
Quantum Magnetism in Wannier-Obstructed Mott Insulators
Xiao-Yang Huang, Taige Wang, Shang Liu +2
We develop a strong coupling approach towards quantum magnetism in Mott insulators for Wannier obstructed bands. Despite the lack of Wannier orbitals, electrons can still singly oc…
Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
Nick Bultinck, Eslam Khalaf, Shang Liu +3
In magic angle twisted bilayer graphene, electron-electron interactions play a central role resulting in correlated insulating states at certain integer fillings. Identifying the n…
Nematic topological semimetal and insulator in magic angle bilayer graphene at charge neutrality
Shang Liu, Eslam Khalaf, Jong Yeon Lee +1
We report on a fully self-consistent Hartree-Fock calculation of interaction effects on the Moiré flat bands of twisted bilayer graphene, assuming that valley U(1) symmetry is resp…
Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
Jong Yeon Lee, Eslam Khalaf, Shang Liu +4
Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including…
Exceptional Surfaces in PT-Symmetric Photonic Systems
Hengyun Zhou, Jong Yeon Lee, Shang Liu +1
Exceptional points in non-Hermitian systems have recently been shown to possess nontrivial topological properties, and to give rise to many exotic physical phenomena. However, most…
Shift insulators: rotation-protected two-dimensional topological crystalline insulators
Shang Liu, Ashvin Vishwanath, Eslam Khalaf
We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators…
Nodal-line semimetals from Weyl superlattices
Jan Behrends, Jun-Won Rhim, Shang Liu +2
The existence and topological classification of lower-dimensional Fermi surfaces is often tied to the crystal symmetries of the underlying lattice systems. Artificially engineered…
Complementary relation of quantum coherence and quantum correlations in multiple measurements
Zeyang Fan, Yi Peng, Yu-Ran Zhang +3
Quantum coherence and quantum correlations lie in the center of quantum information science, since they both are considered as fundamental reasons for significant features of quant…
Experimental testing of entropic uncertainty relations with multiple measurements in pure diamond
Jian Xing, Yu-Ran Zhang, Shang Liu +4
One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbit…
Effect of Disorder in a Three-Dimensional Layered Chern Insulator
Shang Liu, Tomi Ohtsuki, Ryuichi Shindou
We studied effects of disorder in a three dimensional layered Chern insulator. By calculating the localization length and density of states numerically, we found two distict types…
Entropic uncertainty relations for multiple measurements
Shang Liu, Liang-Zhu Mu, Heng Fan
We present the entropic uncertainty relations for multiple measurement settings in quantum mechanics. Those uncertainty relations are obtained for both cases with and without the p…