This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

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

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

Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while
quantum fluctuations prevail. These microscopic quantum fluctuations can induce a …

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 …

We demonstrate that the transition from a superfluid to a Mott insulator in the Bose-Hubbard
model can be induced by an oscillating force through an effective renormalization of the …

We investigate the time evolution of correlations in the Bose-Hubbard model following a
quench from the superfluid to the Mott insulator. For large values of the final interaction …

We study the one-dimensional Bose-Hubbard model using the density-matrix
renormalization group. For the cases of on-site interactions and additional nearest-neighbor …

One of the most promising applications of ultracold gases in optical lattices is the possibility
to use them as quantum emulators of more complex condensed matter systems. We provide …