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

Here, 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 $j_{max}=\frac{1}{2}$. The simple spin Hamiltonian contains only local products of Pauli matrices, even though Gauss’s law has been completely integrated out.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗