We study the quantum dynamics of massive impurities embedded in a strongly interacting,
two-dimensional atomic gas driven into the fractional quantum Hall (FQH) regime under the …

The elementary excitations of a fractional quantum Hall liquid are quasiparticles or
quasiholes that are neither bosons nor fermions, but are so-called anyons. Here we study …

We consider a model for two types (bath and tracers) of 2D quantum particles in a
perpendicular magnetic field. Interactions are short range and interspecies, and we assume …

We study the Hamiltonian describing two anyons moving in a plane in the presence of an
external magnetic field and identify a one-parameter family of self-adjoint realizations of the …

We develop a density functional treatment of noninteracting Abelian anyons, which is
capable, in principle, of dealing with a system of a large number of anyons in an external …

Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles
have been restricted, so far, to only anyons on the plane. It is known, however, that the …

We consider a many-body system of 2D anyons, free quantum particles with general
statistics parameter $\alpha∈] 0, 2 [$. In the magnetic gauge picture they are described as …

We introduce a family of quantum spin Hamiltonians on Z 2 that can be regarded as
perturbations of Kitaev's Abelian quantum double models that preserve the gauge and …

In two-dimensional space there are possibilities for quantum statistics continuously
interpolating between the bosonic and the fermionic one. Quasi-particles obeying such …

We construct and study relativistic anyons in 1+ 1 dimensions generalizing well-known
models of Dirac fermions. First, a model of free anyons is constructed and then extended in …