We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU (N)-
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …

We ask whether a local Hamiltonian with a featureless (fully gapped and nondegenerate)
ground state could exist in certain quantum spin systems. We address this question by …

We discuss different properties and the potential of several topological invariants based on
position operators to identify phase transitions, and compare with more accurate methods …

For over twenty years, ultra‐cold atomic systems have formed an almost perfect arena for
simulating different quantum many‐body phenomena and exposing their non‐obvious and …

We study the ground-state properties of the SU (N) generalization of the Kondo lattice model
in one dimension when the Kondo coupling JK (both ferromagnetic and antiferromagnetic) is …

We explore the rich nature of correlations in the ground state of ultracold atoms trapped in
state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or …

We discuss the quantum simulation of symmetry-protected topological (SPT) states for
interacting fermions in quasi-one-dimensional gases of alkaline-earth-like atoms such as Yb …

Interacting fermionic ladders are versatile platforms to study quantum phases of matter, such
as different types of Mott insulators. In particular, there are D-Mott and S-Mott states that hold …

SU (N) symmetric fermions on a lattice, which can be realized in ultracold-atom-based
quantum simulators, have very promising prospects for realizing exotic states of matter. Here …