Non-standard Hubbard models in optical lattices: a review

O Dutta, M Gajda, P Hauke, M Lewenstein… - Reports on Progress …, 2015 - iopscience.iop.org
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 …

Maximally localized Wannier functions: Theory and applications

N Marzari, AA Mostofi, JR Yates, I Souza… - Reviews of Modern …, 2012 - APS
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” …

Dynamics of Bose-Einstein condensates in optical lattices

O Morsch, M Oberthaler - Reviews of modern physics, 2006 - APS
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 …

Discretizing light behaviour in linear and nonlinear waveguide lattices

DN Christodoulides, F Lederer, Y Silberberg - Nature, 2003 - nature.com
Light propagating in linear and nonlinear waveguide lattices exhibits behaviour
characteristic of that encountered in discrete systems. The diffraction properties of these …

[Књига][B] Discrete and continuous nonlinear Schrödinger systems

MJ Ablowitz, B Prinari, AD Trubatch - 2004 - books.google.com
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 …

Optical bidirectional wave-solutions to new two-mode extension of the coupled KdV–Schrodinger equations

M Alquran - Optical and Quantum Electronics, 2021 - Springer
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 …