In this work, we discuss the resonance states of a quantum particle in a periodic potential
plus a static force. Originally, this problem was formulated for a crystal electron subject to a …

Optical lattices have developed into a widely used and highly recognized tool to study many-
body quantum physics with special relevance for solid state type systems. One of the most …

It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve
as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit …

A primer on the Floquet theory of periodically time-dependent quantum systems is provided,
and it is shown how to apply this framework for computing the quasienergy band structure …

We review recent theoretical advances in cold atom physics concentrating on strongly
correlated cold atoms in optical lattices. We discuss recently developed quantum optical …

We have performed a number of experiments with a Bose-Einstein condensate (BEC) in a
one-dimensional optical lattice. Making use of the small momentum spread of a BEC and …

Chaotic behaviour is ubiquitous and plays an important part in most fields of science. In
classical physics, chaos is characterized by hypersensitivity of the time evolution of a system …

Abstract Silicon nitride (Si3N4) ceramics are used in numerous applications because of their
superior mechanical properties,. Their intrinsically brittle nature is a critical issue, but can be …

We report on the first direct observation of coherent control of single-particle tunneling in a
strongly driven double-well potential. In our setup atoms propagate in a periodic …

Classical ratchet potentials, which alternate a driving potential with periodic random
dissipative motion, can account for the operation of biological motors. We demonstrate the …