Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Topology and geometry are essential to our understanding of modern physics, underlying
many foundational concepts from high-energy theories, quantum information, and …

We propose a simple scheme for tomography of band-insulating states in one-and two-
dimensional optical lattices with two sublattice states. In particular, the scheme maps out the …

Atoms undergoing Bloch oscillations (BOs) in an accelerating optical lattice acquire
momentum of two photon recoils per BO. This technique provides a large momentum …

Inspired by recent experiments with cold atoms in optical lattices, we consider a Stückelberg
interferometer for a particle performing Bloch oscillations in a tight-binding model on the …

We systematically investigate the non-Hermitian generalizations of the Landau-Zener (LZ)
transition and the Landau-Zener-Stückelberg (LZS) interferometry. The LZ transition …

We demonstrate intervalley Bloch oscillation (BO) and Landau-Zener tunneling (LZT) in an
optically induced honeycomb lattice with a refractive-index gradient. Unlike previously …

This review aims at a theoretical discussion of Dirac points in twodimensional systems.
Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene …

After the discovery of graphene and of its many fascinating properties, there has been a
growing interest for the study of “artificial graphenes”. These are totally different and novel …