Area law of noncritical ground states in 1D long-range interacting systems
The entanglement in non-critical ground states is conjectured to obey the area law, which is believed to arise from the short-range nature of interactions. Here the authors prove that the entanglement area law rigorously holds in one-dimensional systems even in the presence of long-range interaction...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2020-09-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-020-18055-x |
| _version_ | 1818993762742829056 |
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| author | Tomotaka Kuwahara Keiji Saito |
| author_facet | Tomotaka Kuwahara Keiji Saito |
| author_sort | Tomotaka Kuwahara |
| collection | DOAJ |
| description | The entanglement in non-critical ground states is conjectured to obey the area law, which is believed to arise from the short-range nature of interactions. Here the authors prove that the entanglement area law rigorously holds in one-dimensional systems even in the presence of long-range interactions. |
| first_indexed | 2024-12-20T20:47:13Z |
| format | Article |
| id | doaj.art-9522d79d90e14c508f229ad3e755e919 |
| institution | Directory Open Access Journal |
| issn | 2041-1723 |
| language | English |
| last_indexed | 2024-12-20T20:47:13Z |
| publishDate | 2020-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj.art-9522d79d90e14c508f229ad3e755e9192022-12-21T19:27:01ZengNature PortfolioNature Communications2041-17232020-09-011111710.1038/s41467-020-18055-xArea law of noncritical ground states in 1D long-range interacting systemsTomotaka Kuwahara0Keiji Saito1Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP)Department of Physics, Keio UniversityThe entanglement in non-critical ground states is conjectured to obey the area law, which is believed to arise from the short-range nature of interactions. Here the authors prove that the entanglement area law rigorously holds in one-dimensional systems even in the presence of long-range interactions.https://doi.org/10.1038/s41467-020-18055-x |
| spellingShingle | Tomotaka Kuwahara Keiji Saito Area law of noncritical ground states in 1D long-range interacting systems Nature Communications |
| title | Area law of noncritical ground states in 1D long-range interacting systems |
| title_full | Area law of noncritical ground states in 1D long-range interacting systems |
| title_fullStr | Area law of noncritical ground states in 1D long-range interacting systems |
| title_full_unstemmed | Area law of noncritical ground states in 1D long-range interacting systems |
| title_short | Area law of noncritical ground states in 1D long-range interacting systems |
| title_sort | area law of noncritical ground states in 1d long range interacting systems |
| url | https://doi.org/10.1038/s41467-020-18055-x |
| work_keys_str_mv | AT tomotakakuwahara arealawofnoncriticalgroundstatesin1dlongrangeinteractingsystems AT keijisaito arealawofnoncriticalgroundstatesin1dlongrangeinteractingsystems |