Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

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 …

Nanoscale ferroelectrics are expected to exhibit various exotic domain configurations, such
as the full flux-closure pattern that is well known in ferromagnetic materials. Here we …

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 …

Magnetic monopoles—particles that behave as isolated north or south magnetic poles—
have been the subject of speculation since the first detailed observations of magnetism …

As topologically stable objects in field theories, knots have been put forward to explain
various persistent phenomena in systems ranging from atoms and molecules to cosmic …

Topological magnetic monopoles (TMMs), also known as hedgehogs or Bloch points, are
three-dimensional (3D) non-local spin textures that are robust to thermal and quantum …

We present the creation and time evolution of two-dimensional Skyrmion excitations in an
antiferromagnetic spinor Bose-Einstein condensate. Using a spin rotation method, the …

We present the first experimental realization and characterization of two-dimensional
Skyrmions and half-Skyrmions in a spin-2 Bose-Einstein condensate. The continuous …

Magnetic monopoles are point-like sources of magnetic field, never observed as
fundamental particles. This has triggered the search for monopole analogues in the form of …