This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

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 …

We report on the direct observation of an oscillating atomic current in a one-dimensional
array of Josephson junctions realized with an atomic Bose-Einstein condensate. The array is …

We report on the first experimental observation of bright matter wave solitons for Rb 87
atoms with repulsive atom-atom interaction. This counterintuitive situation arises inside a …

We discuss an open driven-dissipative many-body system, in which the competition of
unitary Hamiltonian and dissipative Liouvillian dynamics leads to a nonequilibrium phase …

Invariant transformation for quantum mechanical systems is proposed. A cloaking of matter
wave can be realized at given energy by designing the potential and effective mass of the …

The ground state of dipolar bosons placed in an optical lattice is analyzed. We show that the
modification of experimentally accessible parameters can lead to the realization and control …

Abstract We have loaded Bose-Einstein condensates into one-dimensional, off-resonant
optical lattices and accelerated them by chirping the frequency difference between the two …

We have performed a number of experiments with a Bose-Einstein condensate (BEC) in a
one-dimensional optical lattice. Making use of the small momentum spread of a BEC and …

Artificial gauge fields open the possibility to realize quantum many-body systems with
ultracold atoms, by engineering Hamiltonians usually associated with electronic systems. In …