Weakly interacting quasiparticles play a central role in the low-energy description of many
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …

The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls
leads to the fragmentation of Hilbert space into exponentially many disconnected …

Strong mutual interaction which correlates elementary excitations of quantum matter plays a
key role in a range of emergent phenomena, from binding and condensation to quantum …

The concept of quantum many-body scars has recently been put forward as a route to
describe weak ergodicity breaking and violation of the eigenstate thermalization hypothesis …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …