Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

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 …

A quantum walk is a time-homogeneous quantum-mechanical process on a graph defined
by analogy to classical random walk. The quantum walker is a particle that moves from a …

Topological physics opens up a plethora of exciting phenomena allowing to engineer
disorder-robust unidirectional flows of light. Recent advances in topological protection of …

Noninteracting particles in non-Hermitian quasicrystals display localization-delocalization
and spectral phase transitions in complex energy plane that can be characterized by point …

Bound states of two interacting particles moving on a lattice can exhibit remarkable features
that are not captured by the underlying single-particle picture. Inspired by this phenomenon …

We study the collective decay of two-level emitters coupled to a nonlinear waveguide, for
example, a nanophotonic lattice or a superconducting resonator array with strong photon …

We predict the existence of interaction-driven edge states of bound two-photon
quasiparticles in a dimer periodic array of nonlinear optical cavities. The energy spectrum of …

The ground-state properties of two-component bosonic mixtures in a one-dimensional
optical lattice are studied both from few-and many-body perspectives. We rely directly on a …

We consider the two-body problem in a periodic potential, and study the bound-state
dispersion of a spin-↑ fermion that is interacting with a spin-↓ fermion through a short …