This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

The Fermi-Hubbard model is a key concept in condensed matter physics and provides
crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature …

We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-
neighbor repulsion and subject to a strong electric field. In the noninteracting case, due to …

We present a scheme that produces a strong U (1)-like gauge field on cold atoms confined
in a two-dimensional square optical lattice. Our proposal relies on two essential features, a …

We propose a realistic scheme to detect topological edge states in an optical lattice
subjected to a synthetic magnetic field, based on a generalization of Bragg spectroscopy …

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 explore the transport properties of an interacting Fermi gas in a three-dimensional
optical lattice. The center of mass dynamics of the atoms after a sudden displacement of the …

We discuss interacting and noninteracting one dimensional atomic systems trapped in an
optical lattice plus a parabolic potential. We show that, in the tight-binding approximation …

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in situ
fluorescence microscopy, we observe the alternating current resultant from a single …

QED with N species of massive fermions on a circle of circumference L is analyzed by
bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and …