This review paper presents an overview of the theoretical and experimental progress on the
study of matter-wave dark solitons in atomic Bose–Einstein condensates. Upon introducing …

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 …

A Majorana zero bound mode exists in the vortex core of a chiral p+ ip superconductor or
superfluid, which can be driven from an s-wave pairing state by two-dimensional spin-orbit …

We report the realization of a robust and highly controllable two-dimensional (2D) spin-orbit
(SO) coupling with a topological nontrivial band structure. By applying a retro-reflected 2D …

We propose to observe and manipulate topological edge spins in a one-dimensional optical
lattice based on currently available experimental platforms. Coupling the atomic spin states …

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations
in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall …

We provide an algorithm and a publicly available code to numerically evolve
multicomponent Schrödinger-Poisson (SP) systems with a SO (n) symmetry, including …

Solitons play a fundamental role in the dynamics of nonlinear excitations. Here we explore
the motion of solitons in one-dimensional Bose-Einstein condensates subjected to a spin …

We investigate the localized nonlinear matter waves in the two-component Bose-Einstein
condensates with time-and space-modulated nonlinearities analytically and numerically …

We derive two decoupled KP-I equations from the system of two-dimensional (2D) Gross-
Pitaevskii equations for a two-component Bose-Einstein condensate (BEC), using the …