This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

Optical lattices have emerged as ideal simulators for Hubbard models of strongly correlated
materials, such as the high-temperature superconducting cuprates. In optical lattice …

Strong interactions between electrons in a solid material can lead to surprising properties. A
prime example is the Mott insulator, in which suppression of conductivity occurs as a result …

We have studied interacting and noninteracting quantum degenerate Fermi gases in a three-
dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by …

Topological phases, like the Haldane phase in spin-1 chains, defy characterization through
local order parameters. Instead, nonlocal string order parameters can be employed to reveal …

We study a spin-polarized degenerate Fermi gas interacting via ap-wave Feshbach
resonance in an optical lattice. The strong confinement available in this system allows us to …

We study properties of ultracold bosonic atoms in one-, two-, and three-dimensional optical
lattices by large scale quantum Monte Carlo simulations of the Bose-Hubbard model in …

We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an
ultracold gas trapped in an optical lattice. The entropy of the system is determined by …

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 …

Some important features of the graphene physics can be reproduced by loading ultracold
fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we …