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Nonequilibrium steady states in periodically driven systems

Research Project

Project/Area Number 15K17718
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

Mori Takashi  東京大学, 大学院理学系研究科(理学部), 助教 (00647761)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords周期駆動系 / フロケ理論 / 非平衡 / 統計物理学 / 熱平衡化 / 可積分 / 周期駆動 / 量子開放系 / 孤立量子系
Outline of Final Research Achievements

Periodically driven systems thermally isolated from the environment exhibit remarkable properties that are not easily realized in equilibrium systems. However, the system will ultimately heat up to a high temperature state, which is disordered and featureless. It is not only a practically important problem but a theoretical challenge to understand how fast the heating occurs. This is a typical problem of nonequilibrium statistical physics.
We have shown that the heating becomes exponentially slow in the high frequency regime. Moreover, we studied the effect of the coupling to a thermal environment.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (24 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (1 results) Journal Article (11 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 11 results,  Open Access: 3 results,  Acknowledgement Compliant: 4 results) Presentation (12 results) (of which Int'l Joint Research: 8 results,  Invited: 6 results)

  • [Int'l Joint Research] アウグスブルク大学(ドイツ)

    • Related Report
      2016 Research-status Report
  • [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] Classical ergodicity and quantum eigenstate thermalization: Analysis in fully connected Ising ferromagnets2017

    • Author(s)
      Takashi Mori
    • Journal Title

      Physical Review E

      Volume: 96 Issue: 1 Pages: 012134-012134

    • DOI

      10.1103/physreve.96.012134

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Systematic Construction of Counterexamples to Eigenstate Thermalization Hypothesis2017

    • Author(s)
      Naoto Shiraishi and Takashi Mori
    • Journal Title

      Phys. Rev. Lett

      Volume: 119 Issue: 3 Pages: 030601-030601

    • DOI

      10.1103/physrevlett.119.030601

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermalization without eigenstate thermalization hypothesis after a quantum quench2017

    • Author(s)
      Takashi Mori and Naoto Shiraishi
    • Journal Title

      Phys. Rev. E

      Volume: 96 Issue: 2 Pages: 022153-022153

    • DOI

      10.1103/physreve.96.022153

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 周期駆動下での量子多体系の非平衡緩和過程2017

    • Author(s)
      森貴司、桑原知剛、齊藤圭司
    • Journal Title

      日本物理学会誌

      Volume: 72 Pages: 800-804

    • NAID

      130007431283

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [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 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Effective Floquet-Gibbs states for dissipative quantum systems2016

    • Author(s)
      Tatsuhiko Shirai, Juzar Thingna, Takashi Mori, Sergey Denisov, Peter Hanggi, and Seiji Miyashita
    • Journal Title

      New Journal of Physics

      Volume: 18 Issue: 5 Pages: 053008-053008

    • DOI

      10.1088/1367-2630/18/5/053008

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Macrostate equivalence of two gen- eral ensembles and specic relative entropies2016

    • Author(s)
      Takashi Mori
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 2 Pages: 020101-020101

    • DOI

      10.1103/physreve.94.020101

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Extensive increase of entropy in quantum quench2016

    • Author(s)
      Takashi Mori
    • Journal Title

      Journal of Physics A

      Volume: 49 Issue: 44 Pages: 444003-444003

    • DOI

      10.1088/1751-8113/49/44/444003

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems2016

    • Author(s)
      Tomotaka Kuwahara, Takashi Mori and Keiji Saito
    • Journal Title

      Annals of Physics

      Volume: 367 Pages: 96-124

    • DOI

      10.1016/j.aop.2016.01.012

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems2016

    • Author(s)
      Takashi Mori, Tomotaka Kuwahara, and Keiji Saito
    • Journal Title

      Physical Review Letters

      Volume: 116 Issue: 12 Pages: 120401-120401

    • DOI

      10.1103/physrevlett.116.120401

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] Floquet-Magnus theory and generic transient dynamics in periodically driven many-body quantum systems2017

    • Author(s)
      Takashi Mori
    • Organizer
      14th Granada Seminar
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Construction of translation-invariant nonintegrable models without eigenstate thermalization2017

    • Author(s)
      Takashi Mori
    • Organizer
      Quantum Thermodynamics: Thermalization and Fluctuations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Construction of counterexample to eigenstate thermalization hypothesis2017

    • Author(s)
      Takashi Mori
    • Organizer
      The 4th East Asia Joint Seminars on Statistical Physics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子系のEigenstate thermalization hypothesisと古典系のエルゴード性の関係:全結合Ising模型による解析2017

    • Author(s)
      森貴司
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] アンサンブルの等価性の一般化と第二法則への応用2016

    • Author(s)
      森貴司
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Nonadditivity in the quasi-equilibrium state of a short-range interacting system2016

    • Author(s)
      Takashi Mori
    • Organizer
      Conference on Long-Range Interacting Many Body Systems: from Atomic to Astrophysical Scales
    • Place of Presentation
      Trieste (Italy)
    • Year and Date
      2016-07-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems2016

    • Author(s)
      Takashi Mori
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon (France)
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Rigorous analysis of Floquet-Magnus theory and generic transient dynamics in periodically driven quantum systems2016

    • Author(s)
      Takashi Mori
    • Organizer
      CEMS Topical Meeting on Cold Atoms
    • Place of Presentation
      理化学研究所(埼玉県和光市)
    • Year and Date
      2016-06-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 周期外場によって駆動された量子多体系のエネルギー吸収についての厳密な結果2016

    • Author(s)
      森貴司
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 周期外場によって駆動された量子多体系の準定常性2016

    • Author(s)
      森貴司
    • Organizer
      量子論の諸問題と今後の発展(QMKEK)
    • Place of Presentation
      高エネルギー加速器研究機構(茨城県つくば市)
    • Year and Date
      2016-02-17
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] General scenario of relaxation process in periodically driven quantum systems2015

    • Author(s)
      Takashi Mori
    • Organizer
      KIAS Workshop on Quantum Information and Thermodynamics
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2015-11-25
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quasi-stationary states in periodically driven quantum systems2015

    • Author(s)
      Takashi Mori
    • Organizer
      New Frontiers in Non-equilibrium Physics 2015
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2015-08-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research

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Published: 2015-04-16   Modified: 2019-03-29  

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