The description of solids at a microscopic level is complex, involving the interaction of a
huge number of its constituents, such as ions or electrons. It is impossible to solve the …

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

We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

The Hubbard model accounts for many of the diverse phenomena observed in solid-state
materials, despite incorporating only nearest-neighbour hop** and on-site interactions for …

Symmetries play a crucial role in understanding phases of matter and the transitions
between them. Theoretical investigations of quantum models with SU (N) symmetry have …

The multiorbital Hubbard model is expressed in terms of quantum phase variables (“slave
rotors”) conjugate to the local charge, and of auxiliary fermions, providing an economical …

We develop a self-consistent variant of the constrained path quantum Monte Carlo approach
which ensures its independence of the trial wave function, and apply the method to compute …

The SU (2) symmetric Fermi-Hubbard model (FHM) plays an essential role in strongly
correlated fermionic many-body systems. In the one particle per site and strongly interacting …

We show how to perform exact diagonalizations of SU (N) Fermi-Hubbard models on L-site
clusters separately in each irreducible representation (irrep) of SU (N). Using the …

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 …