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arXiv:2307.00045 · Physical review. D/Physical review. D.

Simple Hamiltonian for quantum simulation of strongly coupled (2+1)D SU(2) lattice gauge theory on a honeycomb lattice

Berndt Müller, Xiaojun Yao

Published Nov 13, 2023• 27 citations
arXivHTMLPDF

Abstract

We find a simple spin Hamiltonian to describe physical states of ($2+1$)-dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at ${j}_{\mathrm{max}}=\frac{1}{2}$. The simple spin Hamiltonian contains only local products of Pauli matrices, even though Gauss's law has been completely integrated out.

DOI
10.1103/physrevd.108.094505

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