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Studies of AdS/CFT via Entanglement Entropy

Research Project

Project/Area Number 25287058
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

Takayanagi Tadashi  京都大学, 基礎物理学研究所, 教授 (10432353)

Research Collaborator RYU Shinsei  イリノイ大学, アーバナシャンペーン校, 助教授
SHIBA Noburo  日本学術振興会, 特別研究員(PD)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥19,110,000 (Direct Cost: ¥14,700,000、Indirect Cost: ¥4,410,000)
Fiscal Year 2015: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2014: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2013: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
Keywordsゲージ重力対応 / 超弦理論 / 量子エンタングルメント / 共形場理論 / AdS/CFT対応
Outline of Final Research Achievements

Entanglement entropy measures the amount of quantum entanglement, which is a fundamental property of quantum theory, The gauge/gravity correspondence (AdS/CFT correspondence) tells us that the entanglement entropy is computed as an area of gravitational spacetime. This strongly suggests that a spacetime in a gravitational theory can be interpreted as a collections of bits of quantum entanglement. To study this correspondence, we computed the entanglement entropy for excited state in many examples of quantum systems (especially conformal field theories) by generalizing the replica method. We showed that the dynamics of entanglement entropy is equivalent to that of gravitational theories including Einstein equation.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (55 results)

All 2016 2015 2014 2013 Other

All Int'l Joint Research (4 results) Journal Article (18 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 17 results,  Open Access: 6 results,  Acknowledgement Compliant: 12 results) Presentation (30 results) (of which Int'l Joint Research: 9 results,  Invited: 30 results) Book (1 results) Remarks (1 results) Funded Workshop (1 results)

  • [Int'l Joint Research] ダラム大学/ニューカッスル大学(英国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] タタ研究所(インド)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] 理論物理学研究所/北京大学(中国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Nordita研究所(スウェーデン)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Double-Trace Deformations and Entanglement Entropy in AdS2016

    • Author(s)
      Taiki Miyagawa, Noburo Shiba, Tadashi Takayanagi
    • Journal Title

      Fortschritte der Physik

      Volume: 64 Issue: 1 Pages: 92-105

    • DOI

      10.1002/prop.201500098

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Distance between Quantum States and Gauge-Gravity Duality2015

    • Author(s)
      Masamichi Miyaji, Tokiro Numasawa, Noburo Shiba, Tadashi Takayanagi, Kento Watanabe
    • Journal Title

      Physical Review Letters

      Volume: 115 Issue: 26 Pages: 261602-261606

    • DOI

      10.1103/physrevlett.115.261602

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Continuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State Correspondence2015

    • Author(s)
      Masamichi Miyaji, Tokiro Numasawa, Noburo Shiba, Tadashi Takayanagi, Kento Watanabe
    • Journal Title

      Physical Review Letters

      Volume: 115 Issue: 17 Pages: 171602-171606

    • DOI

      10.1103/physrevlett.115.171602

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Scrambling time from local perturbations of the eternal BTZ black hole2015

    • Author(s)
      Pawel Caputa, Joan Simon, Andrius Stikonas, Tadashi Takayanagi, Kento Watanabe
    • Journal Title

      Journal of High Energy Physics

      Volume: 8 Issue: 8 Pages: 1-36

    • DOI

      10.1007/jhep08(2015)011

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Surface/State Correspondence as a Generalized Holography2015

    • Author(s)
      M. Miyaji and T. Takayanagi
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 7 Issue: 7 Pages: 073B03-073B03

    • DOI

      10.1093/ptep/ptv089

    • NAID

      120005690142

    • Related Report
      2015 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Boundary States as Holographic Duals of Trivial Spacetimes2015

    • Author(s)
      M. Miyaji, S. Ryu, T. Takayanagi and X. Wen
    • Journal Title

      Journal of High Energy Physics

      Volume: 1505 Issue: 5 Pages: 152-152

    • DOI

      10.1007/jhep05(2015)152

    • NAID

      120005669299

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Notes on Entanglement Entropy in String Theory2015

    • Author(s)
      Song He, Tokiro Numasawa, Tadashi Takayanagi, Kento Watanabe
    • Journal Title

      Journal of High Energy Physics

      Volume: 5 Issue: 5 Pages: 1-27

    • DOI

      10.1007/jhep05(2015)106

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Entanglement density and gravitational thermodynamics2015

    • Author(s)
      J. Bhattacharya, V. E. Hubeny, M. Rangamani and T. Takayanagi
    • Journal Title

      Physical Review D

      Volume: 91 Issue: 10 Pages: 106009-106009

    • DOI

      10.1103/physrevd.91.106009

    • NAID

      120005670867

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quantum Entanglement of Localized Excited States at Finite Temperature2015

    • Author(s)
      P. Caputa, J. Simon, A. Stikonas and T. Takayanagi
    • Journal Title

      Journal of High Energy Physics

      Volume: 1501 Issue: 1 Pages: 102-102

    • DOI

      10.1007/jhep01(2015)102

    • NAID

      120005663287

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Quantum dimension as entanglement entropy in two dimensional conformal field theories2014

    • Author(s)
      S. He, T. Numasawa, T. Takayanagi and K. Watanabe
    • Journal Title

      Physical Review D

      Volume: 90 Issue: 4 Pages: 041701-041701

    • DOI

      10.1103/physrevd.90.041701

    • NAID

      120005676650

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy2014

    • Author(s)
      A. Mollabashi, N. Shiba and T. Takayanagi
    • Journal Title

      Journal of High Energy Physics

      Volume: 1404 Issue: 4 Pages: 185-185

    • DOI

      10.1007/jhep04(2014)185

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Entanglement of local operators in large-N conformal field theories2014

    • Author(s)
      A.Pawel Caputa, 野﨑 雅弘, 高柳匡
    • Journal Title

      PTEP

      Volume: 2014 (2014) 9, 093B06 Issue: 9 Pages: 1-36

    • DOI

      10.1093/ptep/ptu122

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Quantum Entanglement of Local Operators in Conformal Field Theories2014

    • Author(s)
      Masahiro Nozaki, Tokiro Numasawa, Tadashi Takayanagi
    • Journal Title

      Physical Review Letters

      Volume: 112 Issue: 11 Pages: 111602-111602

    • DOI

      10.1103/physrevlett.112.111602

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Volume Law for the Entanglement Entropy in Non-local QFTs2014

    • Author(s)
      Noburo Shiba, Tadashi Takayanagi
    • Journal Title

      Journal of High Energy

      Volume: 1402 Issue: 2 Pages: 33-33

    • DOI

      10.1007/jhep02(2014)033

    • NAID

      120005411342

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Entropic Counterpart of Perturbative Einstein Equation2013

    • Author(s)
      J. Bhattacharya, T. Takayanagi
    • Journal Title

      Journal of High Energy Physics

      Volume: 1310 Issue: 10 Pages: 219-219

    • DOI

      10.1007/jhep10(2013)219

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of Entanglement Entropy from Einstein Equation2013

    • Author(s)
      M. Nozaki, T. Numasawa, A. Prudenziati, T. Takayanagi
    • Journal Title

      Physical Review D

      Volume: D88 Issue: 2 Pages: 26012-26012

    • DOI

      10.1103/physrevd.88.026012

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Holographic Local Quenches and Entanglement Density2013

    • Author(s)
      Masahiro Nozaki, Tokiro Numasawa, Tadashi Takayanagi
    • Journal Title

      Journal of High Energy

      Volume: 1305 Issue: 5 Pages: 80-80

    • DOI

      10.1007/jhep05(2013)080

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] AdS plane waves and entanglement entropy2013

    • Author(s)
      K. Narayan, T. Takayanagi and S. Trivedi
    • Journal Title

      Journal of High Energy Physics

      Volume: 51 Issue: 4 Pages: 51-51

    • DOI

      10.1007/jhep04(2013)051

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] Holographic Quantum Teleportation2016

    • Author(s)
      T. Takayanagi
    • Organizer
      Nathan Seiberg Symposium
    • Place of Presentation
      東京大学 カブリIPMU
    • Year and Date
      2016-03-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gravitational Spacetime and Quantum Entanglement2016

    • Author(s)
      T. Takayanagi
    • Organizer
      KEK-PH 2016
    • Place of Presentation
      KEK つくば市
    • Year and Date
      2016-02-09
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Information Metric and Holography2015

    • Author(s)
      T. Takayanagi
    • Organizer
      the 12th Vienna Central European Seminar on Particle Physics and Quantum Field Theory
    • Place of Presentation
      ウィーン(オーストリア)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lectures on Entanglement Entropy and Holography2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Ph.D. school in Niels Bohr Institue
    • Place of Presentation
      ニールスボーア研究所、コペンハーゲン(デンマーク)
    • Year and Date
      2015-10-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gravity Dual of Quantum Information Metric2015

    • Author(s)
      T. Takayanagi
    • Organizer
      KIAS-YITP joint workshop ``Geometry in Gauge Theories and String Theory''
    • Place of Presentation
      韓国高等研究所、ソウル
    • Year and Date
      2015-09-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gravity Dual of Quantum Information Metric2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Quantum Information in Quantum Gravity II
    • Place of Presentation
      ぺりメーター研究所、カナダ
    • Year and Date
      2015-08-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gravity Dual of Information Metric2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Andy Fest ``Black Holes, Holography and Strings ''
    • Place of Presentation
      ハーバード大学、米国
    • Year and Date
      2015-07-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gravity Dual of Information Metric2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Numerical approaches to the holographic principle, quantum gravity and cosmology
    • Place of Presentation
      京都大学基礎物理学研究所、京都市
    • Year and Date
      2015-07-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Surface/State Correspondence as a Generalized Holography2015

    • Author(s)
      T. Takayanagi
    • Organizer
      KITP conference: Closing the entanglement gap: Quantum information, quantum matter, and quantum fields
    • Place of Presentation
      カリフォルニア大学サンタバーバラ校、米国
    • Year and Date
      2015-06-01
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Entanglement Entropy of Locally Excited States2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Simons Symposium on Quantum Entanglement
    • Place of Presentation
      Rio Grande, Puerto Rico, USA
    • Year and Date
      2015-03-15 – 2015-03-21
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A proposal for Surface/State correspondence from quantum entanglement2015

    • Author(s)
      T. Takayanagi
    • Organizer
      Entangle This: Space, Time and Matter
    • Place of Presentation
      IFT, Madrid, Spain
    • Year and Date
      2015-02-16 – 2015-02-20
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Time Evolution of Entanglement Entropy for Locally Excited States2014

    • Author(s)
      T. Takayanagi
    • Organizer
      NCTS Program on Topological Aspects of Quantum Matter
    • Place of Presentation
      Hsinchu, Taiwan
    • Year and Date
      2014-12-08 – 2014-12-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Entanglement Entropy and Spacetime Geometry2014

    • Author(s)
      T. Takayanagi
    • Organizer
      20th European Workshop on String Theory
    • Place of Presentation
      Mainz, Germany
    • Year and Date
      2014-09-22 – 2014-09-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Entanglement Renormalization for General CFTs2014

    • Author(s)
      T. Takayanagi
    • Organizer
      Workshop: `Quantum Information in Quantum Gravity'
    • Place of Presentation
      UBC, Canada
    • Year and Date
      2014-08-18 – 2014-08-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Holographic Spacetimes from Entanglement Renormalization2014

    • Author(s)
      T. Takayanagi
    • Organizer
      YITP Workshop on Quantum Information Physics (YQIP2014)
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2014-08-04 – 2014-08-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Holographic Entanglement between Two Interacting CFTs2014

    • Author(s)
      T. Takayanagi
    • Organizer
      Aspen Summer Workshop: Emergent Spacetime in String Theory
    • Place of Presentation
      Aspen, USA
    • Year and Date
      2014-07-06 – 2014-08-03
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Time evolution of entanglement entropy for local operator excitations in conformal Field Theories2014

    • Author(s)
      T. Takayanagi
    • Organizer
      Conference on Non-equilibrium Phenomena in Condensed Matter and String Theory
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2014-06-30 – 2014-07-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Quantum Entanglement and Local Operators2014

    • Author(s)
      T. Takayanagi
    • Organizer
      Strings 2014
    • Place of Presentation
      Princeton, USA
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Entanglement Entropy and Spacetime2014

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Spring School on Superstring Theory and Related Topics
    • Place of Presentation
      トリエステ、イタリア
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Time Evolution of Entanglement Entropy for Local Operator Excitations in Conformal Field Theories2014

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Aspen Winter Conference: New Perspectives on Thermalization: Condensed Matter, Quantum Information, QCD and String Theory
    • Place of Presentation
      アスペン、米国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Quantum Entanglement and Holography2014

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      8th Asian Winter School
    • Place of Presentation
      プリー、インド
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Quantum Entanglement of Local Operators in Conformal Field Theories2014

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      International Symposium RIKKYO MathPhys 2014
    • Place of Presentation
      立教大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Quantum entanglement and holographic spacetime2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      19th International Symposium on Particle, Strings and Cosmology (PASCOS)
    • Place of Presentation
      台北、台湾
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Excited States and Holographic Entanglement Entropy2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Mathematics and Physics of the Holographic Principle, Isaac Newton Institute for Mathematical Sciences
    • Place of Presentation
      ケンブリッジ、イギリス
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Entanglement Entropy and AdS/CFT2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Arnold Sommerfeld School `Gauge-gravity duality and condensed matter physics'
    • Place of Presentation
      ミュンヘン、ドイツ
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Holographic Entanglement Entropy of Excited States2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Gauge/Gravity Duality 2013, Max Planck Institute for Physics
    • Place of Presentation
      ミュンヘン、ドイツ
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Entanglement Entropy and Gravity/Condensed Matter Correspondence2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      The 20th International Conference on General Relativity and Gravitation (GR20)
    • Place of Presentation
      ワルシャワ、ポーランド
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Holographic Entanglement Entropy of Excited States2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Strings 2013
    • Place of Presentation
      ソウル、韓国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Holographic Entanglement Entropy2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Holography 2013 :Gauge/gravity duality and strongly correlated systems
    • Place of Presentation
      APCTP、ポハン、韓国
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Property of EntanglementEntropy for Excited States2013

    • Author(s)
      Tadashi Takayanagi
    • Organizer
      Workshop: Emergence and Entanglement II
    • Place of Presentation
      Perimeter研究所、カナダ
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] 臨時別冊・数理科学 SGCライブラリ 106 「ホログラフィー原理と量子エンタングルメント」2014

    • Author(s)
      高柳 匡
    • Total Pages
      176
    • Publisher
      サイエンス社
    • Related Report
      2014 Annual Research Report
  • [Remarks] 最近の研究の少しだけ詳しい賞

    • URL

      http://www2.yukawa.kyoto-u.ac.jp/~tadashi.takayanagi/research2.html

    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] School on Strings and Fields2016

    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2016-02-29
    • Related Report
      2015 Annual Research Report

URL: 

Published: 2013-05-21   Modified: 2022-01-31  

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