This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

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 …

This review focuses on recent developments in synthetic spin–orbit (SO) coupling in
ultracold atomic gases. Two types of SO coupling are discussed. One is Raman process …

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 …

This concise review aims to provide a summary of the most relevant recent experimental and
theoretical results for solitons, ie self-trapped bound states of nonlinear waves, in two-and …

It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …

We study matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates with
attractive interactions. We use a multiscale expansion method to identify solution families for …

By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …

We present a new technique for producing two-and three-dimensional Rashba-type spin-
orbit couplings for ultracold atoms without involving light. The method relies on a sequence …

We report a diversity of stable gap solitons in a spin-orbit-coupled Bose-Einstein condensate
subject to a spatially periodic Zeeman field. It is shown that the solitons can be classified by …