Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

We create molecules from fermionic atoms in a three-dimensional optical lattice using a
Feshbach resonance. In the limit of low tunneling, the individual wells can be regarded as …

In this work, we develop several new simulation algorithms for one-dimensional (1D) many-
body quantum mechanical systems combining the Matrix Product State variational ansatz …

We study the exact solution for two atomic particles in an optical lattice interacting via a
Feshbach resonance. The analysis includes the influence of all higher bands, as well as the …

We point out that the recent experiments at ETH on fermions in optical lattices, where a band
insulator evolves continuously into states occupying many bands as the system is swept …

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad
Feshbach resonance, taking into account both multiband occupations and neighboring-site …

With experimental realization of atomic Bose–Einstein condensation (BEC) and rapid
development of laser cooling and trap** techniques, all optical routes to quantum …

Optical lattices and Feshbach resonances are two of the most ubiquitously used tools in
atomic physics, allowing for the precise control, discrete confinement, and broad tunability of …

The Hubbard model is a paradigmatic model of strongly correlated quantum matter, thus
making it desirable to investigate with quantum simulators such as ultracold atomic gases …