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Typical state analysis of non-equilibrium steady states

Research Project

Project/Area Number 18K13466
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionWaseda University (2019-2022)
The University of Tokyo (2018)

Principal Investigator

Shirai Tatsuhiko  早稲田大学, 理工学術院, 講師(任期付) (20816730)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords量子開放系 / 非平衡定常状態 / 緩和ダイナミクス / 量子相転移 / 量子アニーリング / 量子相転移現象 / 輸送現象 / 固有状態熱化仮説 / 散逸エンジニアリング
Outline of Final Research Achievements

I investigated the macroscopic properties of open quantum systems in contact with dissipative environment. First, I revealed the general properties of the non-equilibrium steady states using eigenstate thermalization hypothesis previously employed in the analysis of isolated quantum systems. Next, I studied the relaxation dynamics. I developed theories to determine the relaxation time and describe the transient process.

Academic Significance and Societal Importance of the Research Achievements

量子シミュレーション技術の進展に伴い,散逸を制御することで新奇な現象を実現することが可能となっている.また,量子コンピュータで効率よく計算するためには,計算過程で生じるエラーを抑制するための技術が必要不可欠である.本研究成果は,散逸を受けた量子多体系の一般的な性質を明らかにしたものであり,そうした技術を構築する上で基礎的な知見として重要である.

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (15 results)

All 2023 2022 2021 2020 2019 2018

All Journal Article (5 results) (of which Peer Reviewed: 3 results) Presentation (10 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results)

  • [Journal Article] Symmetrized Liouvillian Gap in Markovian Open Quantum Systems2022

    • Author(s)
      Takashi Mori, Tatsuhiko Shirai
    • Journal Title

      arXiv

      Volume: -

    • Related Report
      2022 Annual Research Report
  • [Journal Article] Tensor network approach to thermalization in open quantum many-body systems2021

    • Author(s)
      Nakano Hayate、Shirai Tatsuhiko、Mori Takashi
    • Journal Title

      Physical Review E

      Volume: 103 Issue: 4

    • DOI

      10.1103/physreve.103.l040102

    • Related Report
      2021 Research-status Report
  • [Journal Article] Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder2021

    • Author(s)
      Shirai Tatsuhiko, Tanaka Shu
    • Journal Title

      Annals of Physics

      Volume: 435 Pages: 168483-168483

    • DOI

      10.1016/j.aop.2021.168483

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Resolving a Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems2020

    • Author(s)
      Mori Takashi、Shirai Tatsuhiko
    • Journal Title

      Physical Review Letters

      Volume: 125 Issue: 23 Pages: 230604-230604

    • DOI

      10.1103/physrevlett.125.230604

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermalization in open many-body systems based on eigenstate thermalization hypothesis2020

    • Author(s)
      Tatsuhiko Shirai, Takashi Mori
    • Journal Title

      Physical Review E

      Volume: 101 Issue: 4 Pages: 042116-042116

    • DOI

      10.1103/physreve.101.042116

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] 量子開放系での演算子拡散による緩和率加速2023

    • Author(s)
      白井達彦
    • Organizer
      日本物理学会2023年春季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 周期外場駆動量子開放系の定常状態に関する理論研究2022

    • Author(s)
      白井達彦
    • Organizer
      日本物理学会第77回年次大会
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Quantum annealing in transverse-field Ising chains with a correlated disorder2021

    • Author(s)
      Tatsuhiko Shirai and Shu Tanaka
    • Organizer
      AQC2021 - Adiabatic Quantum Computing Conference
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] 相関のあるランダムネスをもつ横磁場イジング鎖の動的臨界指数の解析2021

    • Author(s)
      白井達彦,田中宗
    • Organizer
      日本物理学会2021年秋季大会
    • Related Report
      2021 Research-status Report
  • [Presentation] Quantum annealing in a disordered Ising chain with tuned inhomogeneous transverse field2020

    • Author(s)
      Tatsuhiko Shirai, Shu Tanaka
    • Organizer
      Localisatin2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非平衡環境と弱く接した量子多体系の定常状態の性質2020

    • Author(s)
      白井達彦、森貴司
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Thermalization in open many-body systems based on eigenstate thermalization hypothesis2019

    • Author(s)
      Tatsuhiko Shirai, Takashi Mori
    • Organizer
      FSP2019: Frontiers of Statistical Physics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 固有状態熱化仮説の非平衡定常状態への応用2018

    • Author(s)
      白井達彦、森貴司
    • Organizer
      2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Emergence of the Gibbs state in weakly dissipative quantum systems based on the eigenstate thermalization hypothesis2018

    • Author(s)
      Tatsuhiko Shirai, Takashi Mori
    • Organizer
      International Symposium on Frontiers of Quantum Transport in Nano Science
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 非平衡環境と接したマクロ量子系への固有状態熱化仮説の応用2018

    • Author(s)
      白井達彦、森貴司
    • Organizer
      非平衡系の物理学-階層性と普遍性-
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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