31 citations · 96 across the 10 of their papers we have counts for
11 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…
Lattice 2-group symmetries: operators, defects, and gauging
Lucas Z. Brito, Salvatore D. Pace
We construct and study lattice realizations of finite 2-group symmetries in d quantum lattice systems with finite-dimensional tensor-product Hilbert spaces. We focus on two…
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…
Lieb-Schultz-Mattis constraints from stratified anomalies of modulated symmetries
Salvatore D. Pace, Daniel Bulmash
We introduce stratified symmetry operators and stratified anomalies in quantum lattice systems as generalizations of onsite symmetry operators and onsite projective representations…
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…
Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond
Salvatore D. Pace, Ömer M. Aksoy, Ho Tat Lam
We extend the Symmetry Topological Field Theory (SymTFT) framework beyond internal symmetries by including geometric data that encode spacetime symmetries. Concretely, we enrich th…
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…
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…
(SPT-)LSM theorems from projective non-invertible symmetries
Salvatore D. Pace, Ho Tat Lam, Ömer M. Aksoy
Projective symmetries are ubiquitous in quantum lattice models and can be leveraged to constrain their phase diagram and entanglement structure. In this paper, we investigate the 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…
Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
Salvatore D. Pace, Guilherme Delfino, Ho Tat Lam +1
Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated way and are generalizations of, for example, dipole symmetries. In this paper, we system…