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 investigate the Landau-Zener tunneling (LZT) of a self-interacting two-level system in
which the coupling between the levels is nonreciprocal. In such a non-Hermitian system …

We discuss the possibility of realizing a non-Hermitian, ie, an open two-well system of
ultracold atoms by enclosing it within additional time-dependent wells that serve as particle …

Typically, energy levels change without bifurcating in response to a change of a control
parameter. Bifurcations can lead to loops or swallowtails in the energy spectrum. The …

We study transport of fermions in a system composed of a short optical lattice connecting two
finite atomic reservoirs at different filling levels. The average equilibration current through …

A comprehensive study of the tunneling dynamics of a Bose-Einstein condensate in a tilted
periodic potential is presented. We report numerical and experimental results on time …

We propose a realistic scheme to implement discrete-time quantum walks in the Brillouin
zone (ie, in quasimomentum space) with a spinor Bose-Einstein condensate. Relying on a …

We present an experimental study of quantum diffusion of atomic hydrogen in solid H 2 films
at temperatures below 1 K. The atoms are generated via electron impact dissociation by …

We study an experimentally realizable paradigm of complex many-body quantum systems, a
two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body …

In his celebrated textbook, Quantum Mechanics: Nonrelativistic Theory, Landau argued that,
for single particle systems in 1D, tunneling probability remains the same for a particle …