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 …

We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

Quantum many-body systems can have phase transitions even at zero temperature;
fluctuations arising from Heisenberg's uncertainty principle, as opposed to thermal effects …

We study the excitation spectrum of strongly correlated lattice bosons for the Mott-insulating
phase and for the superfluid phase close to localization. Within a Schwinger-boson mean …

We use the quantum sine-Gordon model to describe the low-energy dynamics of a pair of
coupled one-dimensional condensates of interacting atoms. We show that the nontrivial …

We present a nonperturbative analysis of a new experimental technique for probing
ultracold bosons in an optical lattice by periodic lattice depth modulations. This is done …

We present a theory of the density correlations that appear in an atomic Bose-Einstein
condensate as a consequence of the emission of correlated pairs of Bogoliubov phonons by …

We use strong-coupling perturbation theory, the variational cluster approach (VCA), and the
dynamical density-matrix renormalization group (DDMRG) method to investigate static and …

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity
fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low …