• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical physics of singular vertices in quantum graphs

Research Project

Project/Area Number 24540412
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 InstitutionKochi University of Technology

Principal Investigator

ZEN Takuju  高知工科大学, 環境理工学群, 教授 (60227353)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords数理物理 / 量子グラフ / 量子フィルター / 量子異常 / 量子素子 / 数理物理学 / 量子細線 / 単電子素子 / 物性基礎論 / 量子ホロノミー
Outline of Final Research Achievements

We have studied the singular vertex of quantum graphs, which is the basic building block in quantum graph theory. We have performed its mathematical analysis and classification and its physical characterization. In the process, we have established several theorems concerning the modularly permutation symmetric unitary Hermitian matrices. As an application, we have found a model of controllable quantum filter based on quantum graph theory.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (23 results)

All 2015 2014 2013 2012 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results,  Acknowledgement Compliant: 2 results) Presentation (7 results) Book (1 results) Remarks (3 results)

  • [Journal Article] Hermitian unitary matrices with modular permutation symmetry2015

    • Author(s)
      Ondrej Turek, Taksu Cheon
    • Journal Title

      Linear Algebra & its Applications

      Volume: 469 Pages: 569-593

    • DOI

      10.1016/j.laa.2014.12.011

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops2014

    • Author(s)
      Atushi Tanaka, Sang Wook Kim, Taksu Cheon
    • Journal Title

      Phys. Rev. E

      Volume: 89 Issue: 4

    • DOI

      10.1103/physreve.89.042904

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Quantum graph vertices with minimal number of passbands2014

    • Author(s)
      Sergey S. Poghosyan and Taksu Cheon
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 83 Issue: 4 Pages: 044004-044004

    • DOI

      10.7566/jpsj.83.044004

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum holonomy in Lieb-Liniger model2013

    • Author(s)
      Nobuhiro Yonezawa, Atushi Tanaka, Taksu Cheon
    • Journal Title

      Phys. Rev. A

      Volume: 87 Issue: 6

    • DOI

      10.1103/physreva.87.062113

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model2013

    • Author(s)
      Atushi Tanaka, Nobuhiro Yonezawa, Taksu Cheon
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 46 Issue: 31 Pages: 315302-315302

    • DOI

      10.1088/1751-8113/46/31/315302

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum anholonomy with topology change2013

    • Author(s)
      Taksu Cheon, Atushi Tanaka, Ondrej Turek
    • Journal Title

      Acta Polytechnica (Prague)

      Volume: 53 Issue: 5 Pages: 410-415

    • DOI

      10.14311/ap.2013.53.0410

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Potential-controlled filtering in quantum star graphs2013

    • Author(s)
      Ondrej Turek, Taksu Cheon
    • Journal Title

      Ann. of Phys. (NY)

      Volume: 330 Pages: 104-141

    • DOI

      10.1016/j.aop.2012.11.011

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Ondrej Turek, Taksu Cheon2013

    • Author(s)
      Quantum graph as a quantum spectral filter
    • Journal Title

      J. Math. Phys.

      Volume: 54 Issue: 3

    • DOI

      10.1063/1.4795404

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Threshold resonance and controlled filtering in quantum star graphs2012

    • Author(s)
      Ondrej Turek, Taksu Cheon
    • Journal Title

      Europhys. Lett.

      Volume: 98 Issue: 5 Pages: 50005-50005

    • DOI

      10.1209/0295-5075/98/50005

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits2012

    • Author(s)
      Atushi Tanaka, Taksu Cheon and Sang Wook Kim
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: Vol. 45 Issue: 33 Pages: 335305-335305

    • DOI

      10.1088/1751-8113/45/33/335305

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum phenomenology of conjunction fallacy2012

    • Author(s)
      Taksu Cheon, Taiki Takahashi
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 81 Issue: 10 Pages: 104801-104801

    • DOI

      10.1143/jpsj.81.104801

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 全卓樹2012

    • Author(s)
      量子的コンピューティングと量子グーム理論
    • Journal Title

      計測と制御

      Volume: 51 Pages: 396-401

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 量子キックドトップにおける新奇な量子ホロノミーと高次の例外点2014

    • Author(s)
      田中篤司, Sang Wook Kim, 全卓樹
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Reconstruction of quantum information after the measurement2013

    • Author(s)
      Sergey S. Poghosyan, Taksu Cheon
    • Organizer
      Computer Science and Information Technologies (CSIT), 2013
    • Place of Presentation
      Yerevan, Armenia
    • Related Report
      2013 Research-status Report
  • [Presentation] kicked top における固有空間と固有値のアンホロノミー

    • Author(s)
      田中篤司,全卓樹
    • Organizer
      日本物理学会2012年秋期年会
    • Place of Presentation
      横浜国立大
    • Related Report
      2012 Research-status Report
  • [Presentation] 乾燥地植生を記述する反応拡散方程式系における新しい非均一相

    • Author(s)
      松本直樹,木村陽介,谷岡亮輔,全卓樹
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大
    • Related Report
      2012 Research-status Report
  • [Presentation] 乾燥地植生を記述する反応拡散方程式系におけるソリトン解

    • Author(s)
      木村陽介,谷岡亮輔,松本直樹,全卓樹
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大
    • Related Report
      2012 Research-status Report
  • [Presentation] 一次元ボーズ系での固有値・固有空間のアンホロノミー:(I)擬運動量を使ったアンホロノミーの計算

    • Author(s)
      米澤信拓,田中篤司,全卓樹
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大
    • Related Report
      2012 Research-status Report
  • [Presentation] 一次元ボーズ系での固有値・固有空間のアンホロノミー: (II) 隠れた複素縮退点

    • Author(s)
      田中篤司,米澤信拓,全卓樹
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大
    • Related Report
      2012 Research-status Report
  • [Book] エキゾティックな量子:不可思議だけど意外に近しい量子のお話2014

    • Author(s)
      全卓樹
    • Total Pages
      256
    • Publisher
      東京大学出版会
    • Related Report
      2014 Annual Research Report
  • [Remarks] 全卓樹ホームページ@Researchmap

    • URL

      http://researchmap.jp/T_Zen/

    • Related Report
      2014 Annual Research Report
  • [Remarks] 全卓樹ホームページ@Researchmap

    • URL

      http://researchmap.jp/T_Zen

    • Related Report
      2013 Research-status Report
  • [Remarks] 全卓樹ホームページ@Reaserachmap

    • URL

      http://researchmap.jp/T_Zen/

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi