This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

In this Colloquium, the wave-function-based multiconfigurational time-dependent Hartree
approaches to the dynamics of indistinguishable particles (MCTDH-F for fermions and …

A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Spatiotemporal mode coupling in highly multimode physical systems permits new routes for
exploring complex instabilities and forming coherent wave structures. We present here the …

We perform a survey of some recent theoretical and experimental studies on
multidimensional (two-and three-dimensional) localized structures in optical and matter …

Quantum adiabatic processes—that keep constant the populations in the instantaneous
eigenbasis of a time-dependent Hamiltonian—are very useful to prepare and manipulate …

Time crystals are a phase of matter, for which the discrete time symmetry of the driving
Hamiltonian is spontaneously broken. The breaking of discrete time symmetry has been …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …

We report numerical evidence of Hawking emission of Bogoliubov phonons from a sonic
horizon in a flowing one-dimensional atomic Bose–Einstein condensate. The presence of …