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

In the field of quantum simulation of condensed matter phenomena by artificially
engineering the Hamiltonian of an atomic, molecular or optical system, the concept of …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

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 …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

A large repulsion between particles in a quantum system can lead to their localization, an
effect responsible for the Mott insulator phases in strongly correlated materials. In a system …

Quantum statistics and symmetrization dictate that identical fermions do not interact via s-
wave collisions. However, in the presence of spin–orbit coupling (SOC), fermions prepared …

We consider a model of free fermions in a ladder geometry coupled to a non-uniform cavity
mode via Peierls substitution. Since the cavity mode generates a magnetic field, no-go …

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 …

We theoretically study the dynamics of n-level spin-orbit coupled alkaline-earth fermionic
atoms with SU (n) symmetric interactions. We consider three-dimensional lattices with …