The gravity dual of a density matrix
For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS CFT correspondence, if the original state has a dual bulk spacetime with a good classical des...
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| Published in | Classical and quantum gravity Vol. 29; no. 15; pp. 155009 - 16 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bristol
IOP Publishing
07.08.2012
Institute of Physics |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0264-9381 1361-6382 |
| DOI | 10.1088/0264-9381/29/15/155009 |
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| Abstract | For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region. |
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| AbstractList | For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region. |
| Author | Czech, Bart omiej Karczmarek, Joanna L Van Raamsdonk, Mark Nogueira, Fernando |
| Author_xml | – sequence: 1 givenname: Bart omiej surname: Czech fullname: Czech, Bart omiej email: mav@phas.ubc.ca organization: University Department of Physics and Astronomy, of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada – sequence: 2 givenname: Joanna L surname: Karczmarek fullname: Karczmarek, Joanna L organization: University Department of Physics and Astronomy, of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada – sequence: 3 givenname: Fernando surname: Nogueira fullname: Nogueira, Fernando organization: University Department of Physics and Astronomy, of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada – sequence: 4 givenname: Mark surname: Van Raamsdonk fullname: Van Raamsdonk, Mark organization: University Department of Physics and Astronomy, of British Columbia, 6224 Agricultural Road, Vancouver, BC, V6T 1Z1, Canada |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26204117$$DView record in Pascal Francis |
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| Cites_doi | 10.1088/0264-9381/17/24/305 10.1103/PhysRevD.48.3743 10.4310/ATMP.1998.v2.n2.a1 10.1088/0264-9381/28/6/065002 10.1103/PhysRevD.62.044041 10.1142/S0218271810018529 10.1007/s10714-010-1034-0 10.1016/S0370-1573(99)00083-6 10.1023/A:1026654312961 10.1103/PhysRevLett.96.181602 10.1016/S0550-3213(03)00482-6 |
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| References | Freivogel B (7) 2006 13 Pestov L (15) 2005 Van Raamsdonk M (5) 2009 16 17 18 Swingle B (19) 2009 Hubeny V E (14) 2012 Van Raamsdonk M (6) 2011; 28 2 Hubeny V E Rangamani M (11) 2012 3 Bousso R Leichenauer S Rosenhaus V (10) 2012 4 Maldacena J M (1) 1998; 2 8 Gao S (12) 2000; 17 Hubeny V E (9) 2007 |
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| Snippet | For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the... |
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| StartPage | 155009 |
| SubjectTerms | AdS/CFT Bulk density Construction specifications Degrees of freedom Density Exact sciences and technology General relativity and gravitation Gravitation holography Mathematical analysis Physics Proposals Quantum gravity |
| Title | The gravity dual of a density matrix |
| URI | https://iopscience.iop.org/article/10.1088/0264-9381/29/15/155009 https://www.proquest.com/docview/1669879581 |
| Volume | 29 |
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