There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

We review ground states and excitations of a quantum antiferromagnet on triangular and
other frustrated lattices. We pay special attention to the combined effects of magnetic field h …

We analyze charge order in hole-doped cuprates within the the spin-fermion model. We
show that a magnetically mediated interaction, which is known to give rise to d-wave …

We establish the phase diagram of the strongly interacting Bose-Hubbard model defined on
a two-leg ladder geometry in the presence of a homogeneous flux. Our work is motivated by …

Surface currents arise in superconductors under magnetic fields and are a key signature of
the Meissner effect. Similarly, chiral dynamics have been observed in quantum simulators …

The combination of interactions and static gauge fields plays a pivotal role in our
understanding of strongly correlated quantum matter. Cold atomic gases endowed with a …

We study the quantum phases of bosons with repulsive contact interactions on a two-leg
ladder in the presence of a uniform Abelian gauge field. The model realizes many …

We consider interacting bosonic particles on a two-leg triangular ladder in the presence of
an artificial gauge field. We employ density matrix renormalization group numerical …

The interplay between spontaneous symmetry breaking in many-body systems, the wavelike
nature of quantum particles and lattice effects produces an extraordinary behavior of the …