TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.067
TI  - Constructing non-Abelian quantum spin liquids using combinatorial gauge symmetry
PY  - 2023/08/22
UR  - https://www.scipost.org/SciPostPhys.15.2.067
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 067
A1  - Green, Dmitry
AU  - Chamon, Claudio
AB  - 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 $ZZ$ 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.
ER  -

@Article{10.21468/SciPostPhys.15.2.067,
	title={{Constructing non-Abelian quantum spin liquids using combinatorial gauge symmetry}},
	author={Dmitry Green and Claudio Chamon},
	journal={SciPost Phys.},
	volume={15},
	pages={067},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.067},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.067},
}