The edge channels of the quantum Hall effect provide one dimensional chiral and ballistic
wires along which electrons can be guided in an optics‐like setup. Electronic propagation …

The venerable phenomena of Anderson localization, along with the much more recent many-
body localization, both depend crucially on the presence of disorder. The latter enters either …

We show how to numerically calculate several quantities that characterize topological order
starting from a microscopic fractional quantum Hall Hamiltonian. To find the set of …

According to the bulk-edge correspondence principle, the physics of the gapless edge in the
quantum Hall effect determines the topological order in the gapped bulk. As the bulk is less …

We study quantum quenches in two-dimensional lattice gauge theories with fermions
coupled to dynamical Z 2 gauge fields. Through the identification of an extensive set of …

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-
dimensional cylinders that uses a real space representation in the direction along the axis of …

In this paper, we review recent developments in the emerging field of electron quantum
optics, stressing analogies and differences with the usual case of photon quantum optics …

The quantum coherence of electronic quasiparticles underpins many of the emerging
transport properties of conductors at small scales. Novel electronic implementations of …

In this paper, the density-matrix renormalization group method is employed to investigate the
fractional quantum Hall effect at filling fractions ν= 1/3 and 5/2. We first present benchmark …

We study equilibration of quantum Hall edge states at integer filling factors, motivated by
experiments involving point contacts at finite bias. Idealizing the experimental situation and …