Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

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 …

We have experimentally studied the unstable dynamics of a harmonically trapped Bose-
Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate …

Recent experimental advances in Floquet engineering and controlling dissipation in open
systems have brought about unprecedented flexibility in tailoring novel phenomena without …

In this short topical review, we revisit a number of works on the pattern-forming dynamical
instabilities of Bose–Einstein condensates in one-and two-dimensional settings. In …

Particles in a perfect lattice potential perform Bloch oscillations when subject to a constant
force, leading to localization and preventing conductivity. For a weakly interacting Bose …

We study the horizontal transport of ultracold atoms over macroscopic distances of up to 20
cm with a moving 1D optical lattice. By using an optical Bessel beam to form the optical …