We discuss recent research on quantum transport in complex materials, from photosynthetic
light-harvesting complexes to photonic circuits. We identify finite, disordered networks as the …

Quantum-resonance ratchets associated with the kicked particle are experimentally realized
for arbitrary quasimomentum using a Bose-Einstein condensate (BEC) exposed to a pulsed …

Chaos implies unpredictability, fluctuations, and the need for statistical modelling. Quantum
optics has developed into one of the most advanced subdisciplines of modern physics in …

We review the concept and applications of a semiclassical (ϵ-classical or pseudoclassical)
approximation to the resonant dynamics of an atom “kicked” by a pulsed, periodic potential …

A semiclassical theory of chaotic atomic transport in a one-dimensional nondissipative
optical lattice, when the standing-wave field and center-of-mass motion are treated …

Our realistic numerical results show that the fundamental and higher-order quantum
resonances of the δ-kicked rotor are observable in state-of-the-art experiments with a Bose …

We introduce a criterion for the existence of regular states in systems with a mixed phase
space. If this condition is not fulfilled chaotic eigenstates substantially extend into a regular …

We present mean energy measurements for the atom optics kicked rotor as the kicking
period tends to zero. A narrow resonance is observed marked by quadratic energy growth …

Quantum walks have gained significant attention over the past decades, mainly because of
their variety of implementations and applications. Atomic quantum walks are typically subject …

The kicking sequence of the atom-optics kicked rotor at quantum resonance can be
interpreted as a quantum random walk in momentum space. We show how such a walk can …