This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Fractal Hofstadter bands have become widely accessible with the advent of moiré
superlattices, opening the door to studies of the effect of interactions in these systems. In this …

We study mean-field states resulting from the pairing of electrons in time-reversal broken
fractal Hofstadter bands, which arise in two-dimensional lattices where the unit cell traps …

We study the Mott phases and the superfluid-insulator transition of two-component ultracold
bosons on a square optical lattice in the presence of a non-Abelian synthetic gauge field …

We show that all the bands of the Hofstadter model on the torus have an exactly flat
dispersion and Berry curvature when a special system size is chosen. This result holds for …

We analyze the two-body spectrum within the Hofstadter-Hubbard model on a square lattice
through an exact variational ansatz and study the topological properties of its low-lying two …

Motivated by experimental advances in the synthesis of gauge potentials for ultracold atoms,
we consider the superfluid phase of interacting bosons on a square lattice in the presence of …

An interplay between pairing and topological orders has been predicted to give rise to
superconducting states supporting exotic emergent particles, such as Majorana particles …

We consider theoretically the problem of an artificial gauge potential applied to a cold atomic
system of interacting neutral bosons in a tight-binding optical lattice. Using the Bose …