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Odd entropy and holography

Research Project

Project/Area Number 19K23441
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0203:Particle-, nuclear-, astro-physics, and related fields
Research InstitutionKyoto University

Principal Investigator

Tamaoka Kotaro  京都大学, 基礎物理学研究所, 特定研究員 (30848354)

Project Period (FY) 2019-08-30 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords超弦理論 / 量子情報 / ホログラフィー / AdS/CFT対応 / 量子エンタングルメント
Outline of Research at the Start

本研究では、近年発見されたオッド・エントロピーと呼ばれる量子情報量の(一般的な量子多体系における)物理的意義の理解を目指す。特に、一般の系で成立する普遍的な性質と、系のダイナミクスに依存する性質の差を明らかにする。具体的な対象としては、スピン系(格子模型)や共形場理論などを取り扱う。これらの系での解析を通じて、量子重力理論とホログラフィックに等価な量子多体系の特殊性を定量化することがゴールである。

Outline of Final Research Achievements

The purpose of this study was to clarify the physical significance of the new quantum information theoretic quantity called odd entropy, which was recently discovered by the applicant. As a result, the fundamental properties of the odd entropy, such as the basic relations it satisfies, and its applicability to various physical phenomena (e.g., thermalization, phase transition, decoherence processes, etc.) were clarified. Not only that, the applicant discovered a new quantum information quantity called "pseudo entropy", and conducted similar research.

Academic Significance and Societal Importance of the Research Achievements

オッド・エントロピーは、申請者が超弦理論の文脈から新たに見つけた量子情報量である。本研究は、このオッド・エントロピーがさまざまな物理現象(熱化、相転移現象、デコヒーレンス過程など)の理解へ役立つことを明らかにした。今後も、超弦理論の文脈から見つかった量子情報量たちが、さまざまな物理の基礎研究において応用されることが期待できる。

Report

(3 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • Research Products

    (16 results)

All 2021 2020 2019 Other

All Int'l Joint Research (2 results) Journal Article (8 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Open Access: 6 results) Presentation (6 results) (of which Int'l Joint Research: 2 results,  Invited: 4 results)

  • [Int'l Joint Research] マックス・プランク物理学研究所(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] マックス・プランク物理学研究所(ドイツ)

    • Related Report
      2019 Research-status Report
  • [Journal Article] New holographic generalization of entanglement entropy2021

    • Author(s)
      Nakata Yoshifumi、Takayanagi Tadashi、Taki Yusuke、Tamaoka Kotaro、Wei Zixia
    • Journal Title

      Physical Review D

      Volume: 103 Issue: 2 Pages: 026005-026005

    • DOI

      10.1103/physrevd.103.026005

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pseudo-Entropy in Free Quantum Field Theories2021

    • Author(s)
      Mollabashi Ali、Shiba Noburo、Takayanagi Tadashi、Tamaoka Kotaro、Wei Zixia
    • Journal Title

      Physical Review Letters

      Volume: 126 Issue: 8 Pages: 081601-081601

    • DOI

      10.1103/physrevlett.126.081601

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamics of entanglement wedge cross section from conformal field theories2021

    • Author(s)
      Kusuki Yuya、Tamaoka Kotaro
    • Journal Title

      Physics Letters B

      Volume: 814 Pages: 136105-136105

    • DOI

      10.1016/j.physletb.2021.136105

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Wormholes and holographic decoherence2021

    • Author(s)
      Anegawa Takanori、Iizuka Norihiro、Tamaoka Kotaro、Ugajin Tomonori
    • Journal Title

      Journal of High Energy Physics

      Volume: 03 Issue: 3 Pages: 214-214

    • DOI

      10.1007/jhep03(2021)214

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum Information Measures for Mixed States and Holographic Principle2020

    • Author(s)
      玉岡 幸太郎、梅本 滉嗣
    • Journal Title

      Butsuri

      Volume: 75 Issue: 6 Pages: 335-339

    • DOI

      10.11316/butsuri.75.6_335

    • NAID

      130007925852

    • ISSN
      0029-0181, 2423-8872
    • Year and Date
      2020-06-05
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A field theory study of entanglement wedge cross section: odd entropy2020

    • Author(s)
      Mollabashi Ali、Tamaoka Kotaro
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 8 Pages: 078-078

    • DOI

      10.1007/jhep08(2020)078

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Entanglement wedge cross section from CFT: dynamics of local operator quench2020

    • Author(s)
      Kusuki Yuya、Tamaoka Kotaro
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 2 Pages: 017-017

    • DOI

      10.1007/jhep02(2020)017

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Gravity edges modes and Hayward term2020

    • Author(s)
      Takayanagi Tadashi、Tamaoka Kotaro
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 2 Pages: 167-167

    • DOI

      10.1007/jhep02(2020)167

    • NAID

      120006864518

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Pseudo Entropy in Quantum Many-Body Systems and Holography2021

    • Author(s)
      Kotaro Tamaoka
    • Organizer
      Recent progress in theoretical physics based on quantum information theory
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 混合状態の量子もつれを測る新たな量子情報量の導入2020

    • Author(s)
      玉岡 幸太郎
    • Organizer
      日本物理学会2020年秋季大会 素粒子論領域 日本物理学会若手奨励賞受賞記念講演(招待講演)
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Aspects of Odd Entropy and Holography2020

    • Author(s)
      玉岡 幸太郎
    • Organizer
      日本物理学会2020年秋季大会 素粒子論領域
    • Related Report
      2020 Annual Research Report
  • [Presentation] 混合状態の量子もつれを測る新たな量子情報量の導入2020

    • Author(s)
      玉岡 幸太郎
    • Organizer
      日本物理学会第75回年次大会(2020年)素粒子論領域 日本物理学会若手奨励賞受賞記念講演
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] エントロピーと重力エッジモードの関係について2020

    • Author(s)
      玉岡 幸太郎
    • Organizer
      日本物理学会第75回年次大会(2020年)
    • Related Report
      2019 Research-status Report
  • [Presentation] Odd Entropy and Holography2019

    • Author(s)
      Kotaro Tamaoka
    • Organizer
      Simons Collaboration on It from Qubit Annual Meeting 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2019-09-03   Modified: 2022-01-27  

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