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nonequilibrium statistical mechanics and operation of quantum many-body systems

Research Project

Project/Area Number 26800206
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionSeikei University

Principal Investigator

Takaaki Monnai  成蹊大学, 理工学部, 講師 (30514476)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords非平衡 / メゾ系 / 孤立量子系 / 純粋状態 / 熱平衡化 / 冷却原子気体 / 非平衡過程 / 輸送現象 / 非平衡統計力学 / 量子多体系 / 非平衡定常状態
Outline of Final Research Achievements

We explored the nonequilibrium processes of isolated quantum many-body systems in the context of the statistical mechanics. First, we have shown that the probability distribution of work done can be calculated from only a single typical pure state for externally perturbed systems, which are initially prepared in equilibrium. Then, we constructed a class of pure states expressing the nonequilibrium steady state of mesoscopic systems which consist of a finite system interacting with multiple reservoirs on the basis of the scattering approach. Also, we have shown a thermodynamic lower-bound of the deviation from equilibrium in terms of the dissipation and the strength of external perturbation.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (13 results)

All 2016 2015 2014

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 3 results) Presentation (8 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Typical pure states and the analysis of nonequilibrium processes of mesoscopic systems2016

    • Author(s)
      Takaaki Monnai, and Ayumu Sugita
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 05 Issue: 5 Pages: 054004-054004

    • DOI

      10.1088/1742-5468/2016/05/054004

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Typical pure nonequilibrium steady states and irreversibility for quantum transport2016

    • Author(s)
      Takaaki Monnai, and Kazuya Yuasa
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 1 Pages: 012146-012146

    • DOI

      10.1103/physreve.94.012146

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermodynamic Lower Bounds of Deviation from Instantaneous Canonical state2016

    • Author(s)
      Takaaki Monnai
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 4 Pages: 044003-044003

    • DOI

      10.7566/jpsj.85.044003

    • NAID

      40020789678

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Typical Pure Nonequilibrium Steady States2014

    • Author(s)
      Takaaki Monnai and Kazuya Yuasa
    • Journal Title

      Europhysics Letters

      Volume: 107 Issue: 4 Pages: 40006-40006

    • DOI

      10.1209/0295-5075/107/40006

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Typical pure states and nonequilibrium processes in quantum many-body systems2014

    • Author(s)
      T. Monnai, and A. Sugita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 83 Issue: 9 Pages: 094001-094001

    • DOI

      10.7566/jpsj.83.094001

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 非平衡定常状態における量子ゆらぎ定理:可解モデルによる解析2016

    • Author(s)
      諸留昇平, 門内隆明, 湯浅一哉
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Typical pure states and nonequilibrium processes for quantum many-body systems2016

    • Author(s)
      Takaaki Monnai
    • Organizer
      StatPhys 26
    • Place of Presentation
      Centre de Congres de Lyon
    • Year and Date
      2016-07-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ミクロカノニカル状態におけるKMS条件と熱力学極限2015

    • Author(s)
      門内隆明、湯浅一哉
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      関西大学千里山キャンパス
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] Typical pure states and nonequilibrium processes2015

    • Author(s)
      Takaaki Monnai
    • Organizer
      New Frontiers in Nonequilibrium Physics
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2015-08-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Typical pure states and rare events for quantum many-body systems2015

    • Author(s)
      Takaaki Monnai
    • Organizer
      7th International Conference on Unsolved Problems on Noise
    • Place of Presentation
      Barcelona, Casa Convalescència
    • Year and Date
      2015-07-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 孤立量子系における典型的な非平衡定常状態2015

    • Author(s)
      門内隆明、湯浅一哉
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Typical pure states and nonequilibrium processes for a class of quantum many-body systems2015

    • Author(s)
      Takaaki Monnai
    • Organizer
      Workshop on Recent Developments In Non-equilibrium Physics, "Luxembourg out of Equilibrium"
    • Place of Presentation
      ルクセンブルク大学
    • Year and Date
      2015-01-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 典型的純粋状態と量子測定による対称性の破れ2014

    • Author(s)
      門内隆明、湯浅一哉
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-09
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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