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|As Contributors:||Claudius Hubig|
|Submitted by:||Hubig, Claudius|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
We show how to implement arbitrary abelian and non-abelian symmetries in the setting of infinite projected entangled pair states on the two-dimensional square lattice. We observe a large computational speed-up obtained through the increased sparsity and reduced tensor sizes; easily allowing bond dimensions $D = 10$ in the square lattice Heisenberg model at computational effort comparable to calculations at $D = 6$ without symmetries. We also find that absent spontaneous symmetry breaking, implementing a symmetry does not negatively affect the representative power of the state and leads to identical ground-state energies. Furthermore, we point out how we can use symmetry implementations to detect such spontaneous symmetry breaking.