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 …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Polynomially filtered exact diagonalization method (POLFED) for large sparse matrices is
introduced. The algorithm finds an optimal basis of a subspace spanned by eigenvectors …

We study many-body localization (MBL) for interacting one-dimensional lattice fermions in
random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing on the role of …

Long-range interactions allow far-distance quantum correlations to build up very fast.
Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement …

Non-Hermitian systems have gained a lot of interest in recent years. However, notions of
chaos and localization in such systems have not reached the same level of maturity as in the …

We explore the Fock-space structure of eigenstates across the many-body localization
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …

We study many-body localization (MBL) in a one-dimensional system of spinless fermions
with a deterministic aperiodic potential in the presence of long-range interactions and long …

Emerging dynamical constraints resulting from intersite interactions severely limit particle
mobility in polar lattice gases. Whereas in absence of disorder hard-core Hubbard models …

As disorder strength increases in quantum many-body systems a new phase of matter, the
so-called many-body localization, emerges across the whole spectrum. This transition is …