Quantum technologies exploit entanglement to revolutionize computing, measurements, and
communications. This has stimulated the research in different areas of physics to engineer …

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

Quantum droplets are small clusters of atoms self-bound by the balance of attractive and
repulsive forces. Here, we report on the observation of droplets solely stabilized by contact …

Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states:
bright solitons and quantum droplets. Here, we investigate the connection between them …

Abstract Spin–orbit (SO) coupling—the interaction between a quantum particle's spin and its
momentum—is ubiquitous in physical systems. In condensed matter systems, SO coupling is …

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 …

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 …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

The author presents a tutorial review of some ideas that are basic to our current
understanding of the phenomenon of Bose-Einstein condensation (BEC) in the dilute atomic …