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Abelian and non-abelian symmetries in infinite projected entangled pair states

by Claudius Hubig

Submission summary

As Contributors: Claudius Hubig
Arxiv Link:
Date submitted: 2018-09-03
Submitted by: Hubig, Claudius
Submitted to: SciPost Physics
Domain(s): Computational
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.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1808.10804v1 (3 September 2018)

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