What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien,[Nature
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

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 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 …

Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

We study disorder-induced ergodicity breaking transition in high-energy eigenstates of
interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function …

In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

We study spectral statistics in spatially extended chaotic quantum many-body systems, using
simple lattice Floquet models without time-reversal symmetry. Computing the spectral form …