Constructing non-Abelian quantum spin liquids using combinatorial gauge symmetry

Author:

Green Dmitry1,Chamon Claudio1

Affiliation:

1. Boston University

Abstract

We construct Hamiltonians with only 1- and 2-body interactions that exhibit an exact non-Abelian gauge symmetry (specifically, combinatiorial gauge symmetry). Our spin Hamiltonian realizes the quantum double associated to the group of quaternions. It contains only ferromagnetic and anti-ferromagnetic ZZZZ interactions, plus longitudinal and transverse fields, and therefore is an explicit example of a spin Hamiltonian with no sign problem that realizes a non-Abelian topological phase. In addition to the spin model, we propose a superconducting quantum circuit version with the same symmetry.

Funder

United States Department of Energy

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. U(1) symmetry enriched toric code;Physical Review B;2023-09-27

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