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The relation between degree of freedom of spin chains and supersymmetry emerging in their effective field theories

Research Project

Project/Area Number 15K20939
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionThe University of Tokyo

Principal Investigator

Matsui Chihiro  東京大学, 大学院数理科学研究科, 准教授 (60732451)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords可積分系 / 量子スピン鎖 / 超対称性 / 非平衡系 / 非平衡ダイナミクス / XXZスピン鎖 / スピン反転非対称な保存量 / 量子可積分系 / 一次元非平衡系 / 非エルミート表現 / 多状態一次元排他過程 / 可積分量子スピン鎖 / 多状態排他過程
Outline of Final Research Achievements

We aimed to investigate (1) the relation between the degree of freedom in higher-spin integrable spin chains and the supersymmetry emerging in their effective field theories, and (2) various physics related to spin chains. In order to achieve these aims, we worked on the following projects:
We have showed that the hidden supersymmetry behind spin chains corresponds to the supersymmetry of their effective field theories by using the fact that the scattering matrix of an integrable spin chain coincides with that of its effective field theory. We have also discussed non-equilibrium phenomena including the characterizing behavior of classical stochastic processes with multi-degree of freedom associated with higher-spin systems and the steady state of anisotropic spin chain with both ends attached to spin baths.

Academic Significance and Societal Importance of the Research Achievements

有効場理論を用いたスピン鎖の解析は量子一次元物理系の重要な中核を成すが,スピン鎖のような離散系ではサイト数に応じて許される励起状態が異なるため,連続系との対応を議論する際には注意が必要である.本研究成果は,離散系と連続系に共通の励起構造を用いて解析を行なったという点で,両者の対応関係を提示し,離散系における隠れた対称性の理解を前進させるものである.
また,多自由度な古典確率過程やスピン浴に接した量子スピン鎖など,量子スピン鎖に関連した非平衡現象の解明により,量子スピン鎖の可積分性や多自由度への拡張のしやすさが関連する非平衡系における多彩な物理を調べるのに有効であることを示した.

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (33 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (5 results) Journal Article (5 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 3 results,  Open Access: 2 results) Presentation (19 results) (of which Int'l Joint Research: 12 results,  Invited: 7 results) Remarks (4 results)

  • [Int'l Joint Research] University of Bologna(イタリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Ljubljana(Slovenia)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Melbourne(Australia)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] ザールラント大学(ドイツ)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Universitat des Saarlandes(Germany)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields2017

    • Author(s)
      Chihiro Matsui and Tomaz Prosen
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 38 Pages: 385201-385201

    • DOI

      10.1088/1751-8121/aa82db

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Phase coexistence phenomena in an extreme case of the misanthrope process with open boundaries2016

    • Author(s)
      Chikashi Arita and Chihiro Matsui
    • Journal Title

      Europhys. Lett.

      Volume: 114 Issue: 6 Pages: 60012-60012

    • DOI

      10.1209/0295-5075/114/60012

    • NAID

      130006245496

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A power-law growth and decay model with autocorrelation for posting data to social networking services2016

    • Author(s)
      Fujiyama, T., Matsui, C. and Takemura, A.
    • Journal Title

      PLoS ONE

      Volume: 11 Issue: 8 Pages: 8-8

    • DOI

      10.1371/journal.pone.0160592

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry2016

    • Author(s)
      Chihiro Matsui
    • Journal Title

      Nucl. Phys. B

      Volume: 913 Pages: 15-33

    • DOI

      10.1016/j.nuclphysb.2016.09.002

    • NAID

      130006710826

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Boundary Effects on the Supersymmetric Sine-Gordon Model through Light-cone Lattice Regularization2016

    • Author(s)
      Chihiro Matsui
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: unknown Pages: 311-335

    • DOI

      10.1007/978-981-10-2636-2_21

    • ISBN
      9789811026355, 9789811026362
    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Quasilocal charges and non-equilibrium behavior in integrable systems2018

    • Author(s)
      Chihiro Matsui
    • Organizer
      Correlations in Integrable Quantum Many-Body Systems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 可積分系における保存量の準局所性と非平衡現象2018

    • Author(s)
      松井 千尋
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Quasilocal chargers of the XXZ spin chain and integrability of the boundary-driven diffusive system2018

    • Author(s)
      Chihiro Matsui
    • Organizer
      Non-Equilibrium Systems and Special Functions
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] スピン1XXZ鎖におけるスピノン励起と隠れた超対称性2017

    • Author(s)
      松井千尋
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学(大阪・豊中)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Exact solvability of the boundary driven diffusive spin-1/2 XXZ chain with non-diagonal boundary magnetic fields2017

    • Author(s)
      Chihiro Matsui
    • Organizer
      INTEGRABILITY IN LOW-DIMENSIONAL QUANTUM SYSTEMS
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Exact solvability of the boundary driven diffusive spin-1/2 XXZ chain with non-diagonal boundary magnetic fields2017

    • Author(s)
      Chihiro Matsui
    • Organizer
      Workshop on Classical and Quantum Integrable Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hidden supersymmetry behind the Fateev-Zamolodchikov spin chain2017

    • Author(s)
      Chihiro Matsui
    • Organizer
      Fall 2017 Chern-Simons Workshop "Integrability across mathematics and physics"
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 非対角境界磁場付き境界散逸スピン1/2XXZ鎖の可解性2017

    • Author(s)
      松井千尋
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Exact solvability of the boundary driven diffusive spin-1/2 XXZ chain with non-diagonal boundary magnetic fields2017

    • Author(s)
      Chihiro Matsui
    • Organizer
      YITP Workshop "Quantum Thermodynamics: Thermalization and Fluctuations"
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 境界付き人嫌い過程における相共存現象2016

    • Author(s)
      有田親史,松井千尋
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学(石川・金沢)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry2016

    • Author(s)
      Chihiro Matsui
    • Organizer
      New Trends in Low-Dimensional Physics: Quantum Integrability and Applications
    • Place of Presentation
      Beijing (China)
    • Year and Date
      2016-09-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Multi-state extension of the asymmetric simple exclusion process2016

    • Author(s)
      Chihiro Matsui
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon (France)
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multi-state extension of the asymmetric simple exclusion process2016

    • Author(s)
      Chihiro Matsui
    • Organizer
      Workshop on Classical and Quantum Integrable Systems
    • Place of Presentation
      St. Petersburg (Russia)
    • Year and Date
      2016-07-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multi-state extension of the asymmetric simple exclusion process2016

    • Author(s)
      Chihiro Matsui
    • Organizer
      Correlations in Integrable Quantum Many-Body Systems
    • Place of Presentation
      Wuppertal (Germany)
    • Year and Date
      2016-04-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Multi-state extension of the asymmetric simple exclusion process2016

    • Author(s)
      Chihiro Matsui
    • Organizer
      Correlations in Integrable Quantum Many-Body Systems
    • Place of Presentation
      Wuppertal, Germany (Bergische Universitat Wuppertal)
    • Year and Date
      2016-04-11
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 境界付き可積分両氏スピン鎖におけるスピノン励起2016

    • Author(s)
      松井 千尋
    • Organizer
      日本物理学会
    • Place of Presentation
      宮城県仙台市 (東北学院大学)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 可積分高次スピン鎖におけるスピノン励起2015

    • Author(s)
      松井 千尋
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府吹田市 (関西大学)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] Multi-state extension of the asymmetric simple exclusion processes2015

    • Author(s)
      Chihiro Matsui
    • Organizer
      Integrable systems and quantum symmetries
    • Place of Presentation
      Prague, Czech (Brehova 7)
    • Year and Date
      2015-06-23
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Boundary effects on the supersymmetric sine-Gordon model through light-cone regularization2015

    • Author(s)
      Chihiro Matsui
    • Organizer
      XI. International Workshop LIE THEORY AND ITS APPLICATIONS IN PHYSICS
    • Place of Presentation
      Varna, Bulgaria (Pochivna baza BAN)
    • Year and Date
      2015-06-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Remarks] Francesco Ravanini

    • URL

      https://www.unibo.it/sitoweb/francesco.ravanini/en

    • Related Report
      2018 Annual Research Report
  • [Remarks] Professor Tomaz Prosen

    • URL

      http://chaos.fmf.uni-lj.si/?page_id=7

    • Related Report
      2017 Research-status Report
  • [Remarks] Homepage of Dr. Thomas Quella

    • URL

      http://researchers.ms.unimelb.edu.au/~tquella@unimelb/#home

    • Related Report
      2017 Research-status Report
  • [Remarks] Chikashi Arita's Activities @ Saarland University

    • URL

      http://chikashi-arita.webnode.com

    • Related Report
      2016 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2023-03-16  

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