The control over the geometry and topology of quantum systems is crucial for advancing
novel quantum technologies. This work provides a synthesis of recent insights into the …

A survey of 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 article is …

We investigate phase transitions of the ground state (GS) of spin-1 Bose-Einstein
condensates under the combined action of the spin-orbit coupling (SOC) and gradient …

Motivated by recent experimental realization of atomic Bose–Einstein condensate in twisted-
bilayer optical lattices, we consider the vector gap solitons and their stability in a two …

We investigate the ground states of spin–orbit coupled spin-1 Bose–Einstein condensates in
the presence of Zeeman splitting. By introducing the generalized momentum operator, the …