Abelian and non-abelian symmetries in infinite projected entangled pair states
We explore in detail the implementation of 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; easily allowing bond dimensions $D = 10$ in the square lattice Heise...
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2018-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.5.5.047 |
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doaj-7e76455e140e4a4abb883ef8b258d87d2020-11-24T22:12:50ZengSciPostSciPost Physics2542-46532018-11-015504710.21468/SciPostPhys.5.5.047Abelian and non-abelian symmetries in infinite projected entangled pair statesClaudius HubigWe explore in detail the implementation of 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; 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 implementing an unbroken symmetry does not negatively affect the representative power of the state and leads to identical or improved ground-state energies. Finally, we point out how to use symmetry implementations to detect spontaneous symmetry breaking.https://scipost.org/SciPostPhys.5.5.047 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Claudius Hubig |
| spellingShingle |
Claudius Hubig Abelian and non-abelian symmetries in infinite projected entangled pair states SciPost Physics |
| author_facet |
Claudius Hubig |
| author_sort |
Claudius Hubig |
| title |
Abelian and non-abelian symmetries in infinite projected entangled pair states |
| title_short |
Abelian and non-abelian symmetries in infinite projected entangled pair states |
| title_full |
Abelian and non-abelian symmetries in infinite projected entangled pair states |
| title_fullStr |
Abelian and non-abelian symmetries in infinite projected entangled pair states |
| title_full_unstemmed |
Abelian and non-abelian symmetries in infinite projected entangled pair states |
| title_sort |
abelian and non-abelian symmetries in infinite projected entangled pair states |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2018-11-01 |
| description |
We explore in detail the implementation of 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;
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 implementing an unbroken symmetry does not
negatively affect the representative power of the state and leads to identical
or improved ground-state energies. Finally, we point out how to use symmetry
implementations to detect spontaneous symmetry breaking. |
| url |
https://scipost.org/SciPostPhys.5.5.047 |
| work_keys_str_mv |
AT claudiushubig abelianandnonabeliansymmetriesininfiniteprojectedentangledpairstates |
| _version_ |
1725802220858900480 |