In recent years, the ability of cold atom experiments to explore condensed-matter-related
questions has dramatically progressed. Transport experiments, in particular, have expanded …

The understanding of disordered quantum systems is still far from being complete, despite
many decades of research on a variety of physical systems. In this review we discuss how …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

We show that nonlinear problems including nonlinear partial differential equations can be
efficiently solved by variational quantum computing. We achieve this by utilizing multiple …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …

Many-body localization (MBL), the disorder-induced localization of interacting particles,
signals a breakdown of conventional thermodynamics because MBL systems do not …

We experimentally study the effects of coupling one-dimensional many-body localized
systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we …

We study dynamics of isolated quantum many-body systems whose Hamiltonian is switched
between two different operators periodically in time. The eigenvalue problem of the …

Artificial honeycomb lattices offer a tunable platform for studying massless Dirac
quasiparticles and their topological and correlated phases. Here we review recent progress …