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2018 Fiscal Year Annual Research Report

From Einstein equations to Tensor Networks

Research Project

Project/Area Number 17H06787
Research InstitutionKyoto University

Principal Investigator

キャプタ パウエルピオトル  京都大学, 基礎物理学研究所, 特定研究員 (00801747)

Project Period (FY) 2017-08-25 – 2019-03-31
KeywordsTenros Networks / AdS/CFT / Entanglement Dynamics / Complexity / Quantum Quench / Holography / Conformal Field Theory / Gravity
Outline of Annual Research Achievements

I have managed to finish the milestone II-5 on deformations of the Path Integral Optimisation (Published in JHEP) and explored TTbar deformations. I published the work on the Evolution of Complexity with the group in AEI (PRL) and work on Airy function in quantum gravity with Shinji Hirano (JHEP). Moreover, I managed to compute a new quantity called Entanglement of Purification (PRL). Finally the work with Javier Magan on complexity is in the last stages of the review process.

I also finished milestones I-2 and I-3 and we are planning to submit the work to arXiv in the coming weeks. I am still working on the constraints from Einstein equations on Tensor Networks. I visited Perimeter Institute (instead of Ghent) for discussions on Tensor Networks, Jagiellonian University in Cracow, Poland, to discuss with group of Romulad Janik and CERN to discuss complexity and give a colloquium.

I hosted in Kyoto: Joan Simon from Edinburgh (3 weeks) and we started a project on complexity, a student from AEI, Hugo Camargo (3 weeks) with whom we wrote the article on evolution of Complexity for discussions and Shinji Hirano (3 days) to work on a common project. Finally, I purchased recent books on quantum information and topics related to my proposal. I also bought Sony digital paper (to save the use of paper when making notes), speaker for online seminars that I organize at YITP and small electronics (adapter and PC case).

Research Progress Status

平成30年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

平成30年度が最終年度であるため、記入しない。

  • Research Products

    (14 results)

All 2019 2018 Other

All Int'l Joint Research (5 results) Journal Article (4 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (5 results) (of which Invited: 5 results)

  • [Int'l Joint Research] Albert Einstein Institute, Golm(ドイツ)

    • Country Name
      GERMANY
    • Counterpart Institution
      Albert Einstein Institute, Golm
  • [Int'l Joint Research] Centro Atomico de Bariloche(アルゼンチン)

    • Country Name
      ARGENTINA
    • Counterpart Institution
      Centro Atomico de Bariloche
  • [Int'l Joint Research] University of California Los Angeles(米国)

    • Country Name
      U.S.A.
    • Counterpart Institution
      University of California Los Angeles
  • [Int'l Joint Research] Perimeter Institute(カナダ)

    • Country Name
      CANADA
    • Counterpart Institution
      Perimeter Institute
  • [Int'l Joint Research] WITS University(南アフリカ)

    • Country Name
      SOUTH AFRICA
    • Counterpart Institution
      WITS University
  • [Journal Article] Holographic Entanglement of Purification from Conformal Field Theories2019

    • Author(s)
      Pawel Caputa, Masamichi Miyaji, Tadashi Takayanagi and Koji Umemoto
    • Journal Title

      PHYSICAL REVIEW LETTERS

      Volume: 122 Pages: 111601

    • DOI

      10.1103/PhysRevLett.122.111601

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Complexity as a Novel Probe of Quantum Quenches: Universal Scalings and Purifications2019

    • Author(s)
      Hugo A. Camargo, Pawel Caputa, Diptarka Das, Michal P. Heller and Ro Jefferson
    • Journal Title

      PHYSICAL REVIEW LETTERS

      Volume: 122 Pages: 081601

    • DOI

      10.1103/PhysRevLett.122.081601

  • [Journal Article] Path-Integral Complexity for Perturbed CFTs2018

    • Author(s)
      Arpan Bhattacharyya, Pawel Caputa, Sumit R. Das, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi
    • Journal Title

      Journal of High Energy Physics

      Volume: 07 Pages: 086

    • DOI

      10.1007/JHEP07(2018)086

  • [Journal Article] Airy Function and 4d Quantum Gravity2018

    • Author(s)
      Pawel Caputa and Shinji Hirano
    • Journal Title

      Journal of High Energy Physics

      Volume: 06 Pages: 106

    • DOI

      10.1007/JHEP06(2018)106

  • [Presentation] Quantum Information for Quantum Field Theories: From Black holes to Complexity2019

    • Author(s)
      Pawel Caputa
    • Organizer
      CERN Theory Colloquium
    • Invited
  • [Presentation] Sphere Partition Functions in Cut-off AdS2019

    • Author(s)
      Pawel Caputa
    • Organizer
      Workshop: TTbar and Other Solvable Deformations of Quantum Field Theories, SCGP, Stony Brook, USA
    • Invited
  • [Presentation] From Liouville to Nielsen2018

    • Author(s)
      Pawel Caputa
    • Organizer
      Quantum Information in Quantum Gravity 4, GGI Florence, Italy
    • Invited
  • [Presentation] From Liouville to Nielsen2018

    • Author(s)
      Pawel Caputa
    • Organizer
      New Frontiers in String Theory, Kyoto, Japan
    • Invited
  • [Presentation] Complexity of Path Integrals in 2d Field Theories2018

    • Author(s)
      Pawel Caputa
    • Organizer
      Complexity Workshop 2018, AEI Potsdam, Germany
    • Invited

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Published: 2019-12-27  

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