Some calculable contributions to entanglement entropy
Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on correlation length, we extract finite, calculable contributions t...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/64626 https://orcid.org/0000-0002-3850-3688 https://orcid.org/0000-0002-6489-6155 |
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| author | Hertzberg, Mark Peter Wilczek, Frank |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Hertzberg, Mark Peter Wilczek, Frank |
| author_sort | Hertzberg, Mark Peter |
| collection | MIT |
| description | Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on correlation length, we extract finite, calculable contributions to the entanglement entropy for a scalar field between the interior and exterior of a spatial domain of arbitrary shape. The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide’s cross-sectional geometry: its area, perimeter length, and integrated curvature. We also consider related quantities at criticality and suggest a class of systems for which these contributions might be measurable. |
| first_indexed | 2024-09-23T09:19:04Z |
| format | Article |
| id | mit-1721.1/64626 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:19:04Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/646262022-09-30T14:11:37Z Some calculable contributions to entanglement entropy Hertzberg, Mark Peter Wilczek, Frank Massachusetts Institute of Technology. Department of Physics Wilczek, Frank Hertzberg, Mark Peter Wilczek, Frank Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on correlation length, we extract finite, calculable contributions to the entanglement entropy for a scalar field between the interior and exterior of a spatial domain of arbitrary shape. The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide’s cross-sectional geometry: its area, perimeter length, and integrated curvature. We also consider related quantities at criticality and suggest a class of systems for which these contributions might be measurable. United States. Dept. of Energy (DE-FC02-94ER40818) Kavli Foundation 2011-06-21T15:16:19Z 2011-06-21T15:16:19Z 2011-02 2010-07 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/64626 Hertzberg, Mark P. and Frank Wilczek. "Some Calculable Contributions to Entanglement Entropy." Phys. Rev. Lett. 106.5, 050404 (2011) [4 pages] © 2011 American Physical Society. https://orcid.org/0000-0002-3850-3688 https://orcid.org/0000-0002-6489-6155 en_US http://dx.doi.org/10.1103/PhysRevLett.106.050404 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Hertzberg, Mark Peter Wilczek, Frank Some calculable contributions to entanglement entropy |
| title | Some calculable contributions to entanglement entropy |
| title_full | Some calculable contributions to entanglement entropy |
| title_fullStr | Some calculable contributions to entanglement entropy |
| title_full_unstemmed | Some calculable contributions to entanglement entropy |
| title_short | Some calculable contributions to entanglement entropy |
| title_sort | some calculable contributions to entanglement entropy |
| url | http://hdl.handle.net/1721.1/64626 https://orcid.org/0000-0002-3850-3688 https://orcid.org/0000-0002-6489-6155 |
| work_keys_str_mv | AT hertzbergmarkpeter somecalculablecontributionstoentanglemententropy AT wilczekfrank somecalculablecontributionstoentanglemententropy |