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 …

Since the discovery of topological insulators, many topological phases have been predicted
and realized in a range of different systems, providing both fascinating physics and exciting …

Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

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

A supersolid is a counter-intuitive state of matter that combines the frictionless flow of a
superfluid with the crystal-like periodic density modulation of a solid,. Since the first …

In the past decade, a two-dimensional matter-light system called the microcavity exciton-
polariton has emerged as a new promising candidate of Bose-Einstein condensation (BEC) …

In this paper, we mainly review recent results on mathematical theory and numerical
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …

The physics of quantum degenerate atomic Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

This book deals with applications in several areas of science and technology that make use
of light which carries orbital angular momentum. In most practical scenarios, the angular …