Sangam: A Confluence of Knowledge Streams

Modular Hamiltonian for Excited States in Conformal Field Theory

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dc.contributor Massachusetts Institute of Technology. Center for Theoretical Physics
dc.contributor Lashkari, Nima
dc.creator Lashkari, Nima
dc.date 2017-07-11T13:16:46Z
dc.date 2017-07-11T13:16:46Z
dc.date 2016-07
dc.date 2016-05
dc.date 2016-07-21T22:00:03Z
dc.date.accessioned 2023-03-01T18:12:13Z
dc.date.available 2023-03-01T18:12:13Z
dc.identifier 0031-9007
dc.identifier 1079-7114
dc.identifier http://hdl.handle.net/1721.1/110616
dc.identifier Lashkari, Nima. "Modular Hamiltonian for Excited States in Conformal Field Theory." Physical Review Letters 117, 041601 (July 2016): 1-5 © 2016 American Physical Society
dc.identifier https://orcid.org/0000-0003-3446-5933
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/279141
dc.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.
dc.format application/pdf
dc.language en
dc.publisher American Physical Society
dc.relation http://dx.doi.org/10.1103/PhysRevLett.117.041601
dc.relation Physical Review Letters
dc.rights 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.
dc.rights American Physical Society
dc.source American Physical Society
dc.title Modular Hamiltonian for Excited States in Conformal Field Theory
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


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