Fractional quantum Hall physics in lattices

Date

Jan 19, 2017

Time

2:00 PM - 3:00 PM

Language

en

Main Topic

Physik

Other Topics

Physik

Host

Anne Nielsen (MPIPKS)

Description

The fractional quantum Hall effect is a prominent example of the surprising properties that complex quantum many-body systems can exhibit, and there is currently much interest in investigating the possibilities for realizing the effect in different settings. Here, we propose a quite general approach, utilizing conformal field theory, to construct lattice models displaying the fractional quantum Hall effect. By adiabatically changing the coupling strengths in the Hamiltonian, it is possible to create and annihilate anyons in the ground states of these models and to move the anyons around in a controlled manner. The ground states are known analytically, and we obtain detailed insight into the properties of the anyons, including their shape, charge, and braiding statistics, through Monte Carlo simulations. 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.

Last modified: Jan 19, 2017, 9:02:09 AM