Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and<?
format?> superfluidity. This article reviews experimental and theoretical progress in …

An overview of the physics of spinor and dipolar Bose–Einstein condensates (BECs) is
given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

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 density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …

Quantum systems with engineered Hamiltonians can be used to study many-body physics
problems to provide insights beyond the capabilities of classical computers. Semiconductor …

By means of the density matrix renormalization group technique, we accurately determine
the zero-temperature phase diagram of the one-dimensional extended Bose–Hubbard …

We present an extensive numerical study of spin quadrupolar correlations in single and
coupled bilinear-biquadratic spin one chains, using several methods such as exact …

During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

The main properties and methods of describing dipolar and spinor atomic systems,
composed of bosonic atoms or molecules, are reviewed. The general approach for the …