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Griffiths singularity in disordered systems by a quench dynamics

Research Project

Project/Area Number 26400402
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionSaitama Medical University

Principal Investigator

Suzuki Sei  埼玉医科大学, 医学部, 講師 (30391999)

Research Collaborator MORITA Satoshi  
OBUCHI Tomoyuki  
TAKAHASHI Kazutaka  
DAS Arnab  
DUTTA Amit  
SHARMA Shraddha  
NAG Tanay  
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsランダム系 / 相転移 / 量子相転移 / スケーリング / クエンチダイナミクス / キッブル・ズーレック機構 / 動的量子相転移 / 開放量子スピン系 / 動的相転移 / 乱れた系 / 厳密解 / 不連続(1次)転移 / 国際情報交換(インド)
Outline of Final Research Achievements

By the present project, we successfully determined the exact location of the ferromagnetic-paramagnetic transition at the zero temperature in the disordered honeycomb lattice Ising model with the controllable disorder strength. We next obtained some universal scaling relations that physical quantities follow in the quench dynamics induced by quenching a parameter slowly near a quantum phase transition, which is a phase transition occurring at zero temperature in the presence of a quantum fluctuation. We also discovered singularities, called as dynamical quantum phase transitions, appearing in the time evolution of the so-called Loschmidt overlap after a sudden change of a parameter in a few non-integrable systems.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (25 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (3 results) Journal Article (9 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 7 results,  Acknowledgement Compliant: 5 results) Presentation (13 results) (of which Int'l Joint Research: 4 results,  Invited: 4 results)

  • [Int'l Joint Research] Indian Institute of Technology Kanpur/IACS(インド)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Indian Institute of Technology Kanpur/IACS(インド)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Indian Institute of Technology Kanpur(インド)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions2017

    • Author(s)
      Obuchi Tomoyuki、Suzuki Sei、Takahashi Kazutaka
    • Journal Title

      Physical Review B

      Volume: 95 Issue: 17 Pages: 174305-174305

    • DOI

      10.1103/physrevb.95.174305

    • NAID

      130007507829

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions2017

    • Author(s)
      Tomoyuki Obuchi, Sei Suzuki, and Kazutaka Takahashi
    • Journal Title

      arXiv:1702.05396

      Volume: -

    • NAID

      130007507829

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Phase Transition of Tow-Dimensional Ising Models on the Honeycomb and Related Lattices with Striped Random Impurities2016

    • Author(s)
      Satoshi Morita and Sei Suzuki
    • Journal Title

      Journal of Statistical Physics

      Volume: 162 Issue: 1 Pages: 123-138

    • DOI

      10.1007/s10955-015-1400-0

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dynamics of decoherence: Universal scaling of the decoherence factor2016

    • Author(s)
      Sei Suzuki, Tanay Nag, and Amit Dutta
    • Journal Title

      Physical Review A

      Volume: 93 Issue: 1 Pages: 012112-012112

    • DOI

      10.1103/physreva.93.012112

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Universal scaling for a quantum discontinuity critical point and quantum quenches2015

    • Author(s)
      Sei Suzuki and Amit Dutta
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 6 Pages: 064419-064419

    • DOI

      10.1103/physrevb.92.064419

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quenches and dynamical phase transitions in a nonintegrable quantum Ising model2015

    • Author(s)
      Shraddha Sharma, Sei Suzuki, and Amit Dutta
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 10 Pages: 104306-104306

    • DOI

      10.1103/physrevb.92.104306

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quo Vadis quantum annealing?2015

    • Author(s)
      Arnab Das and Sei Suzuki
    • Journal Title

      Euro. Phys. J. ST

      Volume: 224 Issue: 1 Pages: 5-13

    • DOI

      10.1140/epjst/e2015-02337-1

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance of quantum annealing in solving optimization problems: a review2015

    • Author(s)
      Sei Suzuki
    • Journal Title

      Euro. Phys. J. ST

      Volume: 224 Issue: 1 Pages: 51-61

    • DOI

      10.1140/epjst/e2015-02342-4

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Recent progress of quantum annealing2015

    • Author(s)
      Sei Suzuki
    • Journal Title

      AIP Conf. Proc.

      Volume: 1648 Pages: 200006-200006

    • DOI

      10.1063/1.4912484

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Presentation] Quantum annealing of an open quantum system2018

    • Author(s)
      Sei Suzuki
    • Organizer
      Conference on Driven Quantum Systems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子クエンチによる量子相転移の検出2018

    • Author(s)
      鈴木正、Asmi Haldar、Arnab Das
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 熱浴と相互作用する系の量子アニーリング2017

    • Author(s)
      鈴木正
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Quantum annealing of an open quantum system2017

    • Author(s)
      Sei Suzuki
    • Organizer
      Adiabatic Quantum Computing Conference 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 開放系の量子アニーリング:環境は量子アニーリングの助けになるか?2017

    • Author(s)
      鈴木正
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 量子クエンチに伴う動的相転移の平均場理論2016

    • Author(s)
      鈴木正、小渕智之、高橋和孝、根来誠
    • 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 Research-status Report
  • [Presentation] Universal scaling for a quantum discontinuity critical point and an adiabatic time evolution2016

    • Author(s)
      Sei Suzuki
    • Organizer
      Workshop on Theory & Practice of Adiabatic Quantum Computers & Quantum Simulation
    • Place of Presentation
      Abdus Salam International Centre for Theoretical Physics (ICTP),イタリア
    • Year and Date
      2016-08-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子スピン系の環境と結合した1スピンのデコヒーレンス2016

    • Author(s)
      鈴木正, Tanay Nag, Amit Dutta
    • 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
      2016-03-21
    • Related Report
      2015 Research-status Report
  • [Presentation] 不連続転移近傍におけるシミュレーティッドアニーリングとキッブル・ズーレック機構2015

    • Author(s)
      鈴木正
    • Organizer
      日本物理学会
    • Place of Presentation
      関西大学(大阪府吹田市)
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Quantum annealing of a disordered Ising chain2015

    • Author(s)
      Sei Suzuki
    • Organizer
      New Horizons of Quantum and Classical Information 2015
    • Place of Presentation
      Tokyo Institute of Technology(東京都目黒区)
    • Year and Date
      2015-08-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 不連続転移における連続的な量子クエンチの普遍的理論2015

    • Author(s)
      鈴木正、Amit Dutta
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Quantum annealing: a base of quantum computation2014

    • Author(s)
      Sei Suzuki
    • Organizer
      International Conference on Numerical Analysis and Applied Mathematics
    • Place of Presentation
      Rodos Palace Hotel, Rhodes, Greece
    • Year and Date
      2014-09-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 絶対零度極限における二次元層状ランダムイジング模型の相境界2014

    • Author(s)
      森田悟史、鈴木正
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(愛知県春日井市)
    • Year and Date
      2014-09-07
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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