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

The field of laser-matter interaction traditionally deals with the response of atoms, molecules,
and plasmas to an external light wave. However, the recent sustained technological …

Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and<?
format?> superfluidity. This article reviews experimental and theoretical progress in …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

An overview of the physics of spinor and dipolar Bose–Einstein condensates (BECs) is
given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited …

The successful emulation of the Hubbard model in optical lattices has stimulated extensive
efforts to extend their scope to also capture more complex, incompletely understood …

In this Colloquium, the wave-function-based multiconfigurational time-dependent Hartree
approaches to the dynamics of indistinguishable particles (MCTDH-F for fermions and …

We review the experimental realization of a single bosonic Josephson junction for ultracold
gases, which was made possible by the generation of a precisely controllable double-well …

Weakly interacting Bose gases usually form Bose-Einstein condensates in which most
particles occupy the same single-particle state. However, when this state cannot realize a …

Interferometry is a paradigm for most precision measurements. Using N uncorrelated
particles, the achievable precision for a two-mode (two-path) interferometer is bounded by …