Speaker
Description
The anyon Hubbard model has recently been realized experimentally by the Greiner group in Harvard using a driven optical lattice. It can be represented by a bosonic tight-binding chain with number-dependent Peierls phases. I will given an introduction to the model and argue that it describes non-trivial particle exchange in one spatial dimension, associated with non-trivial Berry phases around Fock-space loops. These phases make themselves felt not only in the ground state (e.g. via the build-up of Friedel oscillations), but also in the dynamics. Of particular interest are chiral bound states of two and three particles that exist both inside and outside the continuum. I will, finally, introduce a recently proposed lattice model for so called traid anyons that are defined by non-trivial three-particle braiding in one dimension.
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