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Cited by 66Black Holes and Theoretical PhysicsQuantum many-body systemsAlgebraic structures and combinatorial models

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields

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Sárosi, Gábor, Ugajin, Tomonori·2018·Journal of High Energy Physics
DOI 10.1007/jhep01(2018)012
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Abstract

We study the entanglement entropy and the modular Hamiltonian of slightly excited states reduced to a ball shaped region in generic conformal field theories. We set up a formal expansion in the one point functions of the state in which all orders are explicitly given in terms of integrals of multi-point functions along the vacuum modular flow, without a need for replica index analytic continuation. We show that the quadratic order contributions in this expansion can be calculated in a way expected from holography, namely via the bulk canonical energy for the entanglement entropy, and its variation for the modular Hamiltonian. The bulk fields contributing to the canonical energy are defined via the HKLL procedure. In terms of CFT variables, the contribution of each such bulk field to the modular Hamiltonian is given by the OPE block corresponding to the dual operator integrated along the vacuum modular flow. These results do not rely on assuming large N or other special properties of the CFT and therefore they are purely kinematic.

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Crossref · 10.1007/jhep01(2018)012

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  • This construction of the modular Hamiltonian does not assume that the CFT is holographic.

    “This construction of the modular Hamiltonian doesn't assume that the CFT is holographic.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [133]

  • Sarosi and Ugajin show that their construction relates the quantum Fisher information to the canonical energy of an emergent bulk for any CFT without assuming either the RT/HRT formula in the bulk or the large N limit for the CFT.

    “Sarosi and Ugajin [133] show using the results of [118] (valid for the Rindler wedge) that their construction of the modular Hamiltonian relates the quantum Fisher information to the canonical energy of an emergent bulk for any CFT without assuming either the RT/HRT formula in the bulk or the large N limit for the CFT.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [133]

  • Sarosi and Ugajin have described an explicit CFT construction of the modular Hamiltonian for ball shaped subregions in slightly excited states close to the vacuum.

    “Using the Casini, Huerta and Myers map [109] Sarosi and Ugajin [133] have described an explicit CFT construction of the modular Hamiltonian for ball shaped subregions in slightly excited states close to the vacuum.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [133]

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Authors
Sárosi, G., & Ugajin, T.
Affiliations
  • Vrije Universiteit Brussel (BE)
  • University of California, Santa Barbara (US)
Corresponding author
Sárosi, Gábor
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2018-01
Volume
2018
Issue
1
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep01(2018)012
OpenAlex
W2610776282
Cited by
66
References
81
Citations by year
2026: 3 · 2025: 4 · 2024: 5 · 2023: 7 · 2022: 6 · 2021: 8 · 2020: 7 · 2019: 11 · 2018: 11 · 2017: 4
FWCI
4.90
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • VUBIR (Vrije Universiteit Brussel) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (25915, PHY-25915)
  • Simons Foundation (385592)
  • Belgian Federal Science Policy Office (P7/37)
  • Fonds Wetenschappelijk Onderzoek (G020714N, G.0440.16N)
  • Vrije Universiteit Brussel
  • Yukawa Institute for Theoretical Physics, Kyoto University
  • Vlaamse regering (G044016N, G020714N)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
Keywords
modular Hamiltonian, entanglement entropy, excited states, conformal field theory, holography, one-point functions

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