During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-
body quantum systems. Temperatures are necessarily nonzero, but cooling to the ultralow …

In this review, we provide an introduction to and an overview of some more recent advances
in real-time dynamics of quantum impurity models and their realizations in quantum devices …

The emergence of a compressible insulator phase, known as the Bose glass, is
characteristic of the interplay of interactions and disorder in correlated Bose fluids. While …

We investigate the transport properties of neutral, fermionic atoms passing through a one-
dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by …

Disorder or quasidisorder is known to favor localization in many-body Bose systems. Here,
in contrast, we demonstrate an anomalous delocalization effect induced by …

We study a two dimensional (2D) system of interacting quantum bosons, subjected to a
continuous periodic potential in one direction. The correlation of such system exhibits a …

We demonstrate many-body multifractality of the Bose-Hubbard Hamiltonian's ground state
in Fock space, for arbitrary values of the interparticle interaction. Generalized fractal …

The universal Tan relations connect a variety of microscopic features of many-body quantum
systems with two-body contact interactions to a single quantity, called the contact. The latter …

Strongly interacting finite ensembles of dipolar bosons in commensurately filled one-
dimensional optical lattices exhibit diverse quantum phases that are rich in physics. As the …