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 …

Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

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 …

Simple models of interacting spins have an important role in physics. They capture the
properties of many magnetic materials, but also extend to other systems, such as bosons …

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 …

Ferrofluids exhibit unusual hydrodynamic effects owing to the magnetic nature of their
constituents. As magnetization increases, a classical ferrofluid undergoes a Rosensweig …

Raising the temperature of a material enhances the thermal motion of particles. Such an
increase in thermal energy commonly leads to the melting of a solid into a fluid and …

Abstract The phenomenon of Bose-Einstein condensation of dilute gases in traps is
reviewed from a theoretical perspective. Mean-field theory provides a framework to …

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 …

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 …