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

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

We study a mixture of strongly interacting bosons and spinless fermions with on-site
repulsion in a three-dimensional optical lattice. For this purpose we develop and apply a …

We theoretically investigate the enhanced localization of bosonic atoms by fermionic atoms
in three-dimensional optical lattices and find a self-trap** of the bosons for attractive …

We present a stochastic Green function algorithm designed for bosons on lattices. This
quantum Monte Carlo algorithm is independent of the dimension of the system, works in …

We investigate the properties of trapped Bose-Fermi mixtures for experimentally relevant
parameters in one dimension. The effect of the attractive Bose-Fermi interaction onto the …

We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-
Hubbard model for fixed fermion density in the limit of small fermionic hop**. This model …

We investigate numerically the problem of few (one or two) noninteracting spin-1/2 fermions
in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one …