Anne Nielsen

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The fractional quantum Hall effect, which can be realized in certain
two-dimensional systems at low temperature and high magnetic field, leads
to many interesting properties, such as the possibility to have anyonic
quasiparticles that are neither bosons nor fermions. There is currently
much interest in investigating the possibilities for having fractional
quantum Hall physics in lattice systems, both because it may lead to new
ways to realize the effect, and because the lattice gives rise to new
features and opportunities. Here, we propose a quite general approach
based on conformal field theory to obtain lattice fractional quantum Hall
models. The models have analytical ground states, and we use Monte Carlo
simulations to compute, e.g., topological entanglement entropies and shape
and statistics of anyons. We also discuss how one can interpolate between
lattice and continuum fractional quantum Hall models and propose a scheme
to implement a related model in ultracold atoms in optical lattices.

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MPI-PKS Dresden
Seminar room 0.03, ETP
Contact: not specified