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Study on quantum entanglement and emergent degrees of freedom in strongly-correlated topological phases

Research Project

Project/Area Number 15K05211
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 InstitutionKyoto University

Principal Investigator

Totsuka Keisuke  京都大学, 基礎物理学研究所, 准教授 (80291079)

Research Collaborator Alet F.  Toulouse University
Bois V.  Cergy-Pontoise University
Capponi Sylvain  Toulouse University
DANSHITA Ippei  京都大学, 基礎物理学研究所
Fromholz P.  Cergy-Pontoise University
IMAMURA Yukihisa  京都大学, 基礎物理学研究所
Lecheminant Philippe  Cergy-Pontoise University
Plat X.  Toulouse University
TAKAYOSHI Shintaro  物質材料研究機構
TANAKA Akihiro  物質材料研究機構
TANAKA Shu  京都大学, 基礎物理学研究所
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsトポロジカル相 / 冷却原子気体 / エンタングルメント / SU(N)対称性 / 分数量子ホール効果 / SU(N)冷却原子気体 / 磁化プラトー
Outline of Final Research Achievements

We have summarized the outcome of the Japanese-French collaboration on SU(N) cold fermion systems in these several years in a review article published in Annals of Physics. Also in July of 2016, the Japanese-French team organized a small project-oriented workshop on SU(N) magnetism and started many projects. In 2017, they proposed a realistic way of realizing a new type of symmetry-protected topological (SPT) phases that spontaneously break inversion symmetry in a double-well optical lattice. Together with Takumi Ohta, who is a former student, we investigated dynamical properties of order parameters and entanglement in fermionic SPT phases characterized by emergent Majorana edge modes. Concerning the coupled-wire construction (CWC) of 2,3D topological phases, Immaura and Totsuka succeeded in showing the Chern-Simons gauge theory is correctly reproduced in CWC. They also provided a recipe of constructing generic 2D Abelian topological phases using CWC.

Report

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

    (22 results)

All 2017 2016 2015 Other

All Int'l Joint Research (5 results) Journal Article (9 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 9 results,  Acknowledgement Compliant: 8 results) Presentation (7 results) (of which Int'l Joint Research: 4 results,  Invited: 4 results) Funded Workshop (1 results)

  • [Int'l Joint Research] Cergy-Pontoise大学/Toulouse大学(フランス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Wigner研究所(ハンガリー)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Cergy-Pontoise University/Toulouse university(フランス)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Wigner Institute for Physics(ハンガリー)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Cergy-Pontoise University/Toulouse University(France)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Topological and dynamical properties of a generalized cluster model in one dimension2016

    • Author(s)
      T. Ohta, S. Tanaka, I. Danshita, and K. Totsuka
    • Journal Title

      Physica. Review B

      Volume: 93 Issue: 6905 Pages: 359-360

    • DOI

      10.1038/419359a

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Topological Quantum Phase Transitions in a Majorana Chain with Spatial Modulation2016

    • Author(s)
      T. Ohta and K. Totsuka
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 7 Pages: 074003-074003

    • DOI

      10.7566/jpsj.85.074003

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Density-Matrix Renormalization Group Study of Kitaev-Heisenberg Model on a Triangular Lattice2016

    • Author(s)
      K, Shinjo, S. Sota, S. Yunoki, K. Totsuka, and T. Tohyama
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 85 Issue: 11 Pages: 114710-114710

    • DOI

      10.7566/jpsj.85.114710

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases2016

    • Author(s)
      S. Capponi, P. Lecheminant, and K. Totsuka
    • Journal Title

      Annals of Physics

      Volume: 367 Pages: 50-95

    • DOI

      10.1016/j.aop.2016.01.011

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Topological and dynamical properties of a generalized cluster model in one dimension2016

    • Author(s)
      T. Ohta, S. Tanaka, I. Danshita, and K. Totsuka
    • Journal Title

      Physical Review B

      Volume: 93 Issue: 16 Pages: 165423-165423

    • DOI

      10.1103/physrevb.93.165423

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Symmetry-protected topological order in magnetization plateau states of quantum spin chains2015

    • Author(s)
      Shintaro Takayoshi, Keisuke Totsuka and Akihiro Tanaka
    • Journal Title

      Physical Review B

      Volume: 91 Issue: 15 Pages: 1551361-12

    • DOI

      10.1103/physrevb.91.155136

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Phase Diagram and Sweep Dynamics of a One-Dimensional Generalized Cluster Model2015

    • Author(s)
      O. Takumi, S. Tanaka, I. Danshita, and K. Totsuka
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 84 Issue: 6 Pages: 063001-063001

    • DOI

      10.7566/jpsj.84.063001

    • NAID

      210000133565

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions2015

    • Author(s)
      X. Plat, F. Alet, S. Capponi, and K. Totsuka
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 17

    • DOI

      10.1103/physrevb.92.174402

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Magnetic excitations in an S=1/2 diamond-shaped tetramer compound Cu_2PO_4OH2015

    • Author(s)
      M. Matsuda, S.E. Dissanayake, D.L. Abernathy, K. Totsuka, and A.A. Belik
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 18

    • DOI

      10.1103/physrevb.92.184428

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Symmetry-protected topological phases -- basic concepts and realization2017

    • Author(s)
      Keisuke Totsuka
    • Organizer
      International school on topological science and topological matters
    • Place of Presentation
      Kyoto
    • Year and Date
      2017-02-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] SU(N) cold fermions in a double-well optical potential2017

    • Author(s)
      K. Totsuka
    • Organizer
      Topological properties of wuantum magnetis
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lieb-Schultz-Mattis approach to SU(N)-invariant Mott insulators2017

    • Author(s)
      戸塚圭介
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学
    • Related Report
      2016 Research-status Report
  • [Presentation] Topological Phases of quantum magnets at high fields2016

    • Author(s)
      Keisuke Totsuka
    • Organizer
      Entanglement in strongly correlated systems
    • Place of Presentation
      Benasque science center Pedro Pascual
    • Year and Date
      2016-02-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Topological phases of SU(N) cold fermion systems2016

    • Author(s)
      Keisuke Totsuka
    • Organizer
      Physics of bulk-edge correspondence and its universality
    • Place of Presentation
      Kyoto
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-protected topological phases of SU(N) cold fermion systems2016

    • Author(s)
      Keisuke Totsuka
    • Organizer
      OIST seminar
    • Place of Presentation
      沖縄科学技術大学院大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] SU(N)冷却原子を用いたトポロジカル相の実現2015

    • Author(s)
      戸塚圭介
    • Organizer
      基研研究会「量子制御技術の発展により拓かれる量子情報の新時代」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2015-07-14
    • Related Report
      2015 Research-status Report
  • [Funded Workshop] Exotic states of matter with SU(N) symmetry2016

    • Place of Presentation
      Kyoto
    • Year and Date
      2016-07-04
    • Related Report
      2016 Research-status Report

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

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