67 citations · 183 across the 16 of their papers we have counts for
17 papers
Disentangling the Toric Code
Lei Gioia, Salvatore D. Pace, Ruben Verresen +2
Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site symmetries…
Fermionic Villain model with exact lattice chiral symmetries
Zhiyao Lu, Shu-Heng Shao
We present a fermionic lattice Hamiltonian that exactly realizes the global symmetry and the associated chiral anomalies o…
Infinite-Order Lattice Chiral Anomalies and CPT
Elijah Lew-Smith, Salvatore D. Pace, Shu-Heng Shao
A key property of a global symmetry's anomaly is its order: the smallest integer for which the diagonal symmetry of the -copy system is anomaly-free. While many familiar lat…
Lattice chiral symmetry from bosons in 3+1d
Zhiyao Lu, Sahand Seifnashri, Shu-Heng Shao
We present a solvable Hamiltonian that realizes an exact lattice chiral symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rat…
Non-Invertible Interfaces Between Symmetry-Enriched Critical Phases
Saranesh Prembabu, Shu-Heng Shao, Ruben Verresen
Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does…
Symmetry-Enforced Fermi Surfaces
Minho Luke Kim, Salvatore D. Pace, Shu-Heng Shao
We identify a symmetry that enforces every symmetric model to have a Fermi surface. These symmetry-enforced Fermi surfaces are realizations of a powerful form of symmetry-enforced…
Disjoint additivity and local quantum physics
Daniel Harlow, Shu-Heng Shao, Jonathan Sorce +1
Quantum systems of physical interest are often local, but there are at least three competing perspectives on how "locality" should be formalized: an algebraic framework, a path-int…
Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality
Shu-Heng Shao, Siwei Zhong
We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topologic…
Parity anomaly from LSM: exact valley symmetries on the lattice
Salvatore D. Pace, Minho Luke Kim, Arkya Chatterjee +1
We show that the honeycomb tight-binding model hosts an exact microscopic avatar of its low-energy SU(2) valley symmetry and parity anomaly. Specifically, the SU(2) valley symmetry…
Additivity, Haag duality, and non-invertible symmetries
Shu-Heng Shao, Jonathan Sorce, Manu Srivastava
The algebraic approach to quantum field theory focuses on the properties of local algebras, whereas the study of (possibly non-invertible) global symmetries emphasizes global aspec…
Gauging non-invertible symmetries on the lattice
Sahand Seifnashri, Shu-Heng Shao, Xinping Yang
We provide a general prescription for gauging finite non-invertible symmetries in 1+1d lattice Hamiltonian systems. Our primary example is the Rep(D) fusion category generated…
Lattice T-duality from non-invertible symmetries in quantum spin chains
Salvatore D. Pace, Arkya Chatterjee, Shu-Heng Shao
Dualities of quantum field theories are challenging to realize in lattice models of qubits. In this work, we explore one of the simplest dualities, T-duality of the compact boson C…
Quantized axial charge of staggered fermions and the chiral anomaly
Arkya Chatterjee, Salvatore D. Pace, Shu-Heng Shao
In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continu…
Tensor networks for non-invertible symmetries in 3+1d and beyond
Pranay Gorantla, Shu-Heng Shao, Nathanan Tantivasadakarn
Tensor networks provide a natural language for non-invertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantu…
Non-invertible and higher-form symmetries in 2+1d lattice gauge theories
Yichul Choi, Yaman Sanghavi, Shu-Heng Shao +1
We explore exact generalized symmetries in the standard 2+1d lattice gauge theory coupled to the Ising model, and compare them with their continuum field theory coun…
Cluster state as a non-invertible symmetry protected topological phase
Sahand Seifnashri, Shu-Heng Shao
We show that the standard 1+1d cluster model has a non-invertible global symmetry, described by the fusion category Rep(D). Therefore, the clu…
Strong Spatial Mixing for General 2-Spin Systems: A Unified Approach from Zero-Freeness
Shuai Shao, Xiaowei Ye
We study the algorithmic implications of zero-free regions for the partition functions of 2-spin systems. While Barvinok's algorithm yields FPTASes in such regions, the applicabili…