Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Topological Quantum Computing Quantum Simulation

Non-Abelian Chern-Simons Theory from a Hubbard-like Model

arXiv

Authors: Giandomenico Palumbo, Jiannis K. Pachos

Year

2013

Paper ID

31961

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

Here, we provide a simple Hubbard-like model of spin-1/2 fermions that gives rise to the SU(2) symmetric Thirring model that is equivalent, in the low-energy limit, to Yang-Mills-Chern-Simons model. First, we identify the regime that simulates the SU(2) Yang-Mills theory. Then, we suitably extend this model so that it gives rise to the SU(2) level k Chern-Simons theory with kgeq2 that can support non-Abelian anyons. This is achieved by introducing multiple fermionic species and modifying the Thirring interactions, while preserving the SU(2) symmetry. Our proposal provides the means to theoretically and experimentally probe non-Abelian SU(2) level k topological phases.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2013 reference point for readers tracking recent quantum research.
Here, we provide a simple Hubbard-like model of spin-1/2 fermions that gives rise to the SU(2) symmetric Thirring model that is equivalent, in the low-energy limit, to...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.2871 [2] arXiv https://arxiv.org/abs/1311.2871 [3] Publisher https://arxiv.org/abs/1311.2871

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.