Entanglement-enabled symmetry-breaking orders
A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking...
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| Format: | Article |
| Language: | English |
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SciPost
2024-03-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.7.1.010 |
| _version_ | 1797265919153537024 |
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| author | Cheng-Ju Lin, Liujun Zou |
| author_facet | Cheng-Ju Lin, Liujun Zou |
| author_sort | Cheng-Ju Lin, Liujun Zou |
| collection | DOAJ |
| description | A spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot be realized by any such tensor-product state. Given a symmetry breaking pattern, we propose a criterion to diagnose if the symmetry-breaking order is entanglement-enabled, by examining the compatibility between the symmetries and the tensor-product description. For concreteness, we present an infinite family of exactly solvable gapped models on one-dimensional lattices with nearest-neighbor interactions, whose ground states exhibit entanglement-enabled symmetry-breaking orders from a discrete symmetry breaking. In addition, these ground states have gapless edge modes protected by the unbroken symmetries. We also propose a construction to realize entanglement-enabled symmetry-breaking orders with spontaneously broken continuous symmetries. Under the unbroken symmetries, some of our examples can be viewed as symmetry-protected topological states that are beyond the conventional classifications. |
| first_indexed | 2024-04-25T00:52:26Z |
| format | Article |
| id | doaj.art-16c43955cbdb42e2ae496266692a0b52 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-25T00:52:26Z |
| publishDate | 2024-03-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-16c43955cbdb42e2ae496266692a0b522024-03-11T15:51:57ZengSciPostSciPost Physics Core2666-93662024-03-017101010.21468/SciPostPhysCore.7.1.010Entanglement-enabled symmetry-breaking ordersCheng-Ju Lin, Liujun ZouA spontaneous symmetry-breaking order is conventionally described by a tensor-product wavefunction of some few-body clusters; some standard examples include the simplest ferromagnets and valence bond solids. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot be realized by any such tensor-product state. Given a symmetry breaking pattern, we propose a criterion to diagnose if the symmetry-breaking order is entanglement-enabled, by examining the compatibility between the symmetries and the tensor-product description. For concreteness, we present an infinite family of exactly solvable gapped models on one-dimensional lattices with nearest-neighbor interactions, whose ground states exhibit entanglement-enabled symmetry-breaking orders from a discrete symmetry breaking. In addition, these ground states have gapless edge modes protected by the unbroken symmetries. We also propose a construction to realize entanglement-enabled symmetry-breaking orders with spontaneously broken continuous symmetries. Under the unbroken symmetries, some of our examples can be viewed as symmetry-protected topological states that are beyond the conventional classifications.https://scipost.org/SciPostPhysCore.7.1.010 |
| spellingShingle | Cheng-Ju Lin, Liujun Zou Entanglement-enabled symmetry-breaking orders SciPost Physics Core |
| title | Entanglement-enabled symmetry-breaking orders |
| title_full | Entanglement-enabled symmetry-breaking orders |
| title_fullStr | Entanglement-enabled symmetry-breaking orders |
| title_full_unstemmed | Entanglement-enabled symmetry-breaking orders |
| title_short | Entanglement-enabled symmetry-breaking orders |
| title_sort | entanglement enabled symmetry breaking orders |
| url | https://scipost.org/SciPostPhysCore.7.1.010 |
| work_keys_str_mv | AT chengjulinliujunzou entanglementenabledsymmetrybreakingorders |