We discuss a method of numerically identifying exact energy eigenstates for a finite system,
whose form can then be obtained analytically. We demonstrate our method by identifying …

We prove the existence of nonequilibrium phases of matter in the prethermal regime of
periodically driven, long-range interacting systems, with power-law exponent α> d, where d …

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 …

We derive exact results for the Lindblad equation for a quantum spin chain (one-
dimensional quantum compass model) with dephasing noise. The system possesses doubly …

We review recent developments in the study of out-of-equilibrium topological states of matter
in isolated systems. The phenomenon of many-body localization, exhibited by some isolated …

We prove that quantum information encoded in some topological excitations, including
certain Majorana zero modes, is protected in closed systems for a time scale exponentially …

Integrable Floquet spin chains are known to host strong zero and π modes which are
boundary operators that respectively commute and anticommute with the Floquet unitary …

Results are presented for the dynamics of an almost strong edge mode which is the
quasistable Majorana edge mode occurring in nonintegrable spin chains. The dynamics of …