Modular Hamiltonian for Excited States in Conformal Field Theory
We present a novel replica trick that computes the relative entropy of two arbitrary states in conformal field theory. Our replica trick is based on the analytic continuation of partition functions that break the Z[subscript n] replica symmetry. It provides a method for computing arbitrary matrix el...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110616 https://orcid.org/0000-0003-3446-5933 |
| _version_ | 1826189608495349760 |
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| author | Lashkari, Nima |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Lashkari, Nima |
| author_sort | Lashkari, Nima |
| collection | MIT |
| description | We present a novel replica trick that computes the relative entropy of two arbitrary states in conformal field theory. Our replica trick is based on the analytic continuation of partition functions that break the Z[subscript n] replica symmetry. It provides a method for computing arbitrary matrix elements of the modular Hamiltonian corresponding to excited states in terms of correlation functions. We show that the quantum Fisher information in vacuum can be expressed in terms of two-point functions on the replica geometry. We perform sample calculations in two-dimensional conformal field theories. |
| first_indexed | 2024-09-23T08:18:20Z |
| format | Article |
| id | mit-1721.1/110616 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:18:20Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1106162022-09-23T12:10:20Z Modular Hamiltonian for Excited States in Conformal Field Theory Lashkari, Nima Massachusetts Institute of Technology. Center for Theoretical Physics Lashkari, Nima We present a novel replica trick that computes the relative entropy of two arbitrary states in conformal field theory. Our replica trick is based on the analytic continuation of partition functions that break the Z[subscript n] replica symmetry. It provides a method for computing arbitrary matrix elements of the modular Hamiltonian corresponding to excited states in terms of correlation functions. We show that the quantum Fisher information in vacuum can be expressed in terms of two-point functions on the replica geometry. We perform sample calculations in two-dimensional conformal field theories. 2017-07-11T13:16:46Z 2017-07-11T13:16:46Z 2016-07 2016-05 2016-07-21T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110616 Lashkari, Nima. "Modular Hamiltonian for Excited States in Conformal Field Theory." Physical Review Letters 117, 041601 (July 2016): 1-5 © 2016 American Physical Society https://orcid.org/0000-0003-3446-5933 en http://dx.doi.org/10.1103/PhysRevLett.117.041601 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 | Lashkari, Nima Modular Hamiltonian for Excited States in Conformal Field Theory |
| title | Modular Hamiltonian for Excited States in Conformal Field Theory |
| title_full | Modular Hamiltonian for Excited States in Conformal Field Theory |
| title_fullStr | Modular Hamiltonian for Excited States in Conformal Field Theory |
| title_full_unstemmed | Modular Hamiltonian for Excited States in Conformal Field Theory |
| title_short | Modular Hamiltonian for Excited States in Conformal Field Theory |
| title_sort | modular hamiltonian for excited states in conformal field theory |
| url | http://hdl.handle.net/1721.1/110616 https://orcid.org/0000-0003-3446-5933 |
| work_keys_str_mv | AT lashkarinima modularhamiltonianforexcitedstatesinconformalfieldtheory |