Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension
A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/96724 |
| _version_ | 1811072113568645120 |
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| author | Maghrebi, Mohammad F. Reid, M. T. Homer |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Maghrebi, Mohammad F. Reid, M. T. Homer |
| author_sort | Maghrebi, Mohammad F. |
| collection | MIT |
| description | A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped to classical thermodynamic entropy in D + 1 dimensions. As a specific example, we compute the mutual information both analytically and numerically for a range of separation distances between two bodies in D = 2 dimensions and find a logarithmic correction to the area law at short separations. A key advantage of our method is that it allows the strong subadditivity property to be easily verified. |
| first_indexed | 2024-09-23T09:01:06Z |
| format | Article |
| id | mit-1721.1/96724 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:01:06Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/967242022-09-30T12:50:57Z Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension Maghrebi, Mohammad F. Reid, M. T. Homer Massachusetts Institute of Technology. Department of Mathematics Reid, M. T. Homer A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped to classical thermodynamic entropy in D + 1 dimensions. As a specific example, we compute the mutual information both analytically and numerically for a range of separation distances between two bodies in D = 2 dimensions and find a logarithmic correction to the area law at short separations. A key advantage of our method is that it allows the strong subadditivity property to be easily verified. National Science Foundation (U.S.). Physics Frontiers Centers National Science Foundation (U.S.). Joint Quantum Institute National Science Foundation (U.S.). Physics at the Information Frontier United States. Army Research Office United States. Army Research Laboratory United States. Air Force Office of Scientific Research United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative 2015-04-23T13:24:48Z 2015-04-23T13:24:48Z 2015-04 2014-12 2015-04-16T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/96724 Maghrebi, M. F., and M. T. H. Reid. “Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension.” Physical Review Letters 114, no. 15 (April 2015). © 2015 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.114.151602 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Maghrebi, Mohammad F. Reid, M. T. Homer Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title | Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title_full | Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title_fullStr | Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title_full_unstemmed | Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title_short | Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension |
| title_sort | entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension |
| url | http://hdl.handle.net/1721.1/96724 |
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