The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

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 zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-
function interaction (Lieb-Liniger model) is computed as a function of momentum and …

The ground state phase diagram of the one-dimensional Bose-Fermi Hubbard model is
studied in the canonical ensemble using a quantum Monte Carlo method. We focus on the …

We provide evidence in support of a recent proposal by Astrakharchik et al for the existence
of a super Tonks–Girardeau gas-like state in the attractive interaction regime of quasi-one …

Spectral properties of the Bose-Hubbard model and a recently proposed coupled-cavity
model are studied by means of quantum Monte Carlo simulations in one dimension. Both …

We consider the integrable one-dimensional δ-function interacting Bose gas in a hard wall
box which is exactly solved via the coordinate Bethe ansatz. The ground-state energy …

We investigate the low-temperature behavior of the integrable one-dimensional two-
component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong …

With experimental realization of atomic Bose–Einstein condensation (BEC) and rapid
development of laser cooling and trapping techniques, all optical routes to quantum …