Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

We study in detail the properties of the quantum East model, an interacting quantum spin
chain inspired by simple kinetically constrained models of classical glasses. Through a …

It is a classic result that certain interacting integrable spin chains host robust edge modes
known as strong zero modes (SZMs). In this Letter, we extend this result to the Floquet …

Almost strong edge-mode operators arising at the boundaries of certain interacting one-
dimensional symmetry protected topological phases with Z 2 symmetry have infinite …

We explore the finite-temperature dynamics of the quasi-1D orbital compass and plaquette
Ising models. We map these systems onto a model of free fermions coupled to strictly …

The stability and dynamics of almost strong zero and π modes in weakly nonintegrable
Floquet spin chains are investigated. Such modes can also be viewed as localized …

The one-dimensional (1D) Kitaev model in the topological phase, with open boundary
conditions, hosts Majorana zero modes. These are fermion parity-odd operators that almost …

The transverse field Ising model (TFIM) on the half-infinite chain possesses an edge zero
mode. This work considers an impurity model: TFIM perturbed by a boundary integrability …

We analyze the topological and dynamical properties of a system formed by two chains of
identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation …

We introduce a Floquet circuit describing the driven Ising chain with topological defects. The
corresponding gates include a defect that flips spins as well as the duality defect that …