Modular Hamiltonian for Excited States in Conformal Field Theory
Name
PhysRevLett.117.041601.pdf
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322.88 KB
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Author(s)
Lashkari, Nima
Date Issued
July 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Lashkari, Nima. "Modular Hamiltonian for Excited States in Conformal Field Theory." Physical Review Letters 117, 041601 (July 2016): 1-5 © 2016 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.117.041601
