Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

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 …

We investigate the physics of one-dimensional symmetry-protected topological (SPT)
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …

We study't Hooft anomalies and the related anomaly inflow for subsystem global symmetries.
These symmetries and anomalies arise in a number of exotic systems, including models with …

Identifying topological properties is a major challenge because, by definition, topological
states do not have a local order parameter. While a generic solution to this challenge is not …

Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …

We classify one-dimensional symmetry-protected topological (SPT) phases protected by
dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge …

Random quantum circuits continue to inspire a wide range of applications in quantum
information science and many-body quantum physics, while remaining analytically tractable …