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Information-theoretic aspects of steady states in isolated quantum systems

Research Project

Project/Area Number 16H06718
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

IKEDA Tatsuhiko  東京大学, 物性研究所, 助教 (60780583)

Project Period (FY) 2016-08-26 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords統計力学 / 量子情報
Outline of Final Research Achievements

I have mainly studied time evolution of two isolated quantum subsystems that are created by coherently splitting a single quantum system. In particular, I have investigated the mechanism of "entanglement prethermalization", which occurs when the quantum entanglement between the subsystems prevents the total system from reaching the thermal equilibrium. I have studied two models, the interacting two harmonic oscillators and the Tomonaga-Luttinger model, and identified the statistical-mechanical ensemble which describes the quasi-stationary state after entanglement prethermalizaiton. The ensemble has turned out to be the generalized Gibbs ensemble, where the nonlocal conserved quantities acting on both subsystems are taken into consideration.

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • Research Products

    (9 results)

All 2018 2017

All Journal Article (4 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 4 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results)

  • [Journal Article] Entanglement prethermalization in the Tomonaga-Luttinger mode2018

    • Author(s)
      Eriko Kaminishi, Takashi Mori, Tatsuhiko N. Ikeda, and Masahito Ueda
    • Journal Title

      Phys. Rev. A 97, 013622

      Volume: A97 Issue: 1 Pages: 1-6

    • DOI

      10.1103/physreva.97.013622

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermalization and prethermalization in isolated quantum systems: a theoretical overview2018

    • Author(s)
      Takashi Mori, Tatsuhiko N. Ikeda, Eriko Kaminishi, Masahito Ueda
    • Journal Title

      Journal of Physics B: Atomic, Molecular and Optical Physics

      Volume: accepted

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exploring the anisotropic Kondo model in and out of equilibrium with alkaline-earth atoms2018

    • Author(s)
      Marton Kanasz-Nagy, Yuto Ashida, Tao Shi, Catalin Pascu Moca, Tatsuhiko N. Ikeda, Simon Folling, J. Ignacio Cirac, Gergely Zarand, Eugene A. Demler
    • Journal Title

      Physical Review B

      Volume: 97 Issue: 15 Pages: 155156-155156

    • DOI

      10.1103/physrevb.97.155156

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Entanglement prethermalization in an interaction quench between two harmonic oscillators2017

    • Author(s)
      Tatsuhiko N. Ikeda, Takashi Mori, Eriko Kaminishi, and Masahito Ueda
    • Journal Title

      Phys. Rev. E

      Volume: 95 Issue: 2 Pages: 022129-022129

    • DOI

      10.1103/physreve.95.022129

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] 孤立量子系の非平衡定常状態に関する最近の話題2017

    • Author(s)
      池田達彦
    • Organizer
      統計物理学懇談会
    • Place of Presentation
      慶應大学日吉キャンパス(神奈川県横浜市)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Hartree-Fock study of the commensurate charge density wave in 1T-TaS2 and its photo-induced dynamics2017

    • Author(s)
      Tatsuhiko N. Ikeda, Kenji Yonemitsu, Hirokazu Tsunetsugu
    • Organizer
      PIPT6- 6th International Conference on Photoinduced Phase Transitions
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hartree-Fock study of the commensurate charge density wave in 1T-TaS2 and its photo-induced dynamics2017

    • Author(s)
      Tatsuhiko N. Ikeda, Kenji Yonemitsu, Hirokazu Tsunetsugu
    • Organizer
      International School and Workshop on Electronic Crystals ECRYS-2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] TaSe2 における電荷密度波の光誘起ダイナミクス2017

    • Author(s)
      池田達彦, 米満賢治, 常次宏一
    • Organizer
      日本物理学会 秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Entanglement pre-thermalization in an interaction quench between two harmonic oscillators2017

    • Author(s)
      Tatsuhiko N. Ikeda, Takashi Mori, Eriko Kaminishi, Masahito Ueda
    • Organizer
      Quantum Thermodynamics: Thermalization and Fluctuations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research

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Published: 2016-09-02   Modified: 2019-03-29  

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