Quantum technologies exploit entanglement to revolutionize computing, measurements, and
communications. This has stimulated the research in different areas of physics to engineer …

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 …

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

Modern nanotechnology allows one to scale down various important devices (sensors,
chips, fibers, etc.) and thus opens up new horizons for their applications. The efficiency of …

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 …

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 …

Despite almost a century's worth of study, it is still unclear how general relativity (GR) and
quantum theory (QT) should be unified into a consistent theory. The conventional approach …

We report the first experimental observation of nonlinear self-trap** of Bose-condensed R
87 b atoms in a one-dimensional waveguide with a superimposed deep periodic potential …

We report on the control of interaction-induced dephasing of Bloch oscillations for an atomic
Bose-Einstein condensate in an optical lattice. We quantify the dephasing in terms of the …