Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

We present an analytic strong-coupling approach to the phase diagram and elementary
excitations of the Jaynes-Cummings-Hubbard model describing a superfluid-insulator …

We use the density-matrix renormalization group method to investigate ground-state and
dynamic properties of the one-dimensional Bose-Hubbard model, the effective model of …

Exact diagonalization (ED) techniques are a powerful method for studying many-body
problems. Here, we apply this method to systems of few bosons in an optical lattice, and use …

We investigate how strongly interacting bosons, described by the Bose-Hubbard
Hamiltonian, transition from the Mott insulator to the superfluid phase and, ultimately, to a …

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

A strong-coupling expansion for the Green's functions, self-energies, and correlation
functions of the Bose-Hubbard model is developed. We illustrate the general formalism …

We investigate harmonically trapped, laser-pumped bosons with infinite-range interactions
induced by a dissipative high-finesse red-detuned optical cavity with numerical and …