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 …

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 …

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 …

We study the dynamics and thermalization of the Fredkin spin chain, a system with local
three-body interactions, particle conservation, and explicit kinetic constraints. We consider …

Results are presented for the dynamics of edge modes in interacting Floquet Ising chains. It
is shown that in addition to the quasistable 0 and π edge modes, a third long lived edge …

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 …