Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

The electronic ground state of a periodic system is usually described in terms of extended
Bloch orbitals, but an alternative representation in terms of localized “Wannier functions” …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

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 …

Light propagating in linear and nonlinear waveguide lattices exhibits behaviour
characteristic of that encountered in discrete systems. The diffraction properties of these …

We report on the first realization of a single bosonic Josephson junction, implemented by
two weakly linked Bose-Einstein condensates in a double-well potential. In order to fully …

During the past 30 years there have been important and far reaching developments in the
study of nonlinear waves including" soliton equations", a class of nonlinear wave equations …

In this work, we present new two-mode extension to the coupled KdV–Schrodinger
equations. This new model arises in many applications in the field of optics, communications …