Work

Dispersive toric code model with fusion and defusion

Year: 2020

Type: article

Abstract: We introduce a two-parameter family of perturbations of Kitaev's toric code model in which the anyonic excitations acquire an interesting dynamics. We study the dynamics of this model in the space of states with electric and magnetic charge both equal to 1 and find that the model exhibits both bound states and scattering states in a suitable region of the parameters. The bound state is a Majorana fermion with a dispersion relation of Dirac cone type. For a certain range of model parameters, we find that these bound states disappear in a continuum of scattering states at a critical value of the total momentum. The scattering states describe separate electric and magnetic anyons, which in this model each have a $sink$ dispersion relation.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.101.115105

Authors: Bruno Nachtergaele, Nicholas E. Sherman

Institutions: University of California, Davis, University of California, Berkeley

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Quasi-Locality Properties of Quantum Many-Body Dynamics and Applications