Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

We describe a simple technique for generating a cold-atom lattice pierced by a uniform
magnetic field. Our method is to extend a one-dimensional optical lattice into the …

Isolated quantum many-body systems with integrable dynamics generically do not
thermalize when taken far from equilibrium. As one perturbs such systems away from the …

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be
described by a Bose-Hubbard model where the system parameters are controlled by laser …

Publisher Summary This chapter discusses optical dipole traps for neutral atoms. Methods
for storage and trapping of charged and neutral particles have very often served as the …

Methods for, and limitations to, the generation of entangled states of trapped atomic ions are
examined. As much as possible, state manipulations are described in terms of quantum …

During the past decade the interaction of light with multiatom ensembles has attracted much
attention as a basic building block for quantum information processing and quantum state …

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 …