Topological systems

Beyond braid anyons: A lattice model for one-dimensional anyons with a Galilean invariant continuum limit

Anyonic exchange statistics can emerge when the configuration space of quantum particles is not simply-connected. Most famously, anyon statistics arises for particles with hard-core two-body constraints in two dimensions. Here, the exchange paths …

Eichtheorien im Quantensimulator

Gauge theories form the theoretical foundation of our understanding of many fields of science, in particular elementary particle physics and nuclear physics. They are, however, extremely difficult to treat with conventional methods such as analytical …

Observation of microscopic confinement dynamics by a tunable topological $\theta$-angle

The topological $\theta$-angle is central to the understanding of a plethora of phenomena in condensed matter and high-energy physics such as the strong CP problem, dynamical quantum topological phase transitions, and the confinement--deconfinement …

Quantum routing of information using chiral quantum walks

We address routing of classical and quantum information over quantum network and show how to exploit chirality (directionality) to achieve nearly optimal and robust transport. In particular, we prove how continuous-time chiral quantum walks over a …

Quantum Hall and Synthetic Magnetic-Field Effects in Ultra-Cold Atomic Systems

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of synthetic magnetic fields and quantum Hall effects in ultracold atomic gases. We focus on integer, spin, and fractional Hall effects, indicate …

Tomography of Band Insulators from Quench Dynamics

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 Berry curvature in the entire Brillouin zone and extracts topological …