Exotic quantum flux in quantum graph systems with band spectra

• Project/Area Number: 15K05216
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kochi 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): 2015-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 量子グラフ / 帯スペクトル / 量子流束 / 非対称性 / 多体系 / 非線形シュレディンガー方程式 / 量子ホロノミー

Outline of Final Research Achievements

We have found the exotic quantum transport properties in a double-stranded Kronig-Penney model. Asymmetric fluxes between two strands with suddenly alternating localization patterns are observed as the energy is varied. The zero-size limit of the internal lines connecting two strands is examined using quantum graph vertices with four edges. We also consider a two-dimensional Kronig-Penney lattice with two types of alternating layer with δ and δ′ connections, and show the existence of energy bands in which the quantum flux can flow only in selected directions. We have studied the possible applications of exotic quantum flux in single electron quantum devices.

Research Products

• [Journal Article] Spectral Properties of Nonlinear Schr?dinger Equation on a Ring (2017)
  • Author(s): Nakamura Takaaki、Cheon Taksu
  • Journal Title: Journal of the Physical Society of Japan Volume: 86 Issue: 11 Pages: 114001-114001
  • DOI: 10.7566/jpsj.86.114001
  • Peer Reviewed
• [Journal Article] 新奇な量子ホロノミー ― 断熱サイクルで変わらないこと，変わること ― (2017)
  • Author(s): 田中篤司、全卓樹
  • Journal Title: 日本物理学会誌 Volume: 72 Pages: 240-245
  • NAID: 40021156276
  • Peer Reviewed
• [Journal Article] Spiral orbits and oscillations in historical evolution of empires (2017)
  • Author(s): Taksu Cheon, Sergey S. Poghosyan
  • Journal Title: Physica A Volume: 469 Pages: 353-362
  • DOI: 10.1016/j.physa.2016.11.035
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Path topology dependence of adiabatic time evolution (2016)
  • Author(s): Atushi Tanaka, Taksu Cheon
  • Journal Title: Functional Analysis and Operator Theory for Quantum Physics. A Festschrift in Honor of Pavel Exner, eds.J. Dittrich, H. Kovarik, A. Laptev Volume: 12 Pages: 531-542
  • NAID: 130006245509
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Complete population inversion of Bose particles by an adiabatic cycle (2016)
  • Author(s): Atushi Tanaka, Taksu Cheon
  • Journal Title: New J. Phys. Volume: 18 Issue: 4 Pages: 045023-045023
  • DOI: 10.1088/1367-2630/18/4/045023
  • NAID: 130006710724
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Asymmetric quantum transport in a double-stranded Kronig-Penney model (2015)
  • Author(s): Taksu Cheon, Sergey S. Poghosyan
  • Journal Title: J. Phys. Soc. Jpn. Volume: 84 Issue: 6 Pages: 064006-064006
  • DOI: 10.7566/jpsj.84.064006
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Graphical representation of marginal and underlying probabilities in quantum mechanics (2015)
  • Author(s): Taksu Cheon
  • Journal Title: J. Kor. Phys. Soc. Volume: 67 Issue: 5 Pages: 777-784
  • DOI: 10.3938/jkps.67.777
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Bloch vector, disclination and exotic quantum holonomy (2015)
  • Author(s): Atushi Tanaka, Taksu Cheon
  • Journal Title: Phys. Lett. A Volume: 379 Issue: 30-31 Pages: 1693-1698
  • DOI: 10.1016/j.physleta.2015.05.009
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Balancer effects in opinion dynamics (2015)
  • Author(s): Taksu Cheon, Jun Morimoto
  • Journal Title: Atushi Tanaka, Taksu Cheon Volume: 380 Issue: 3 Pages: 429-434
  • DOI: 10.1016/j.physleta.2015.11.012
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] リング上の非線形シュレディンガー方程式のスペクトル構造 (2018)
  • Author(s): 中村孝明, 全卓樹, Perez-Obiol Axel
  • Organizer: 日本物理学会 第73回年次大会（2018）
• [Presentation] Dynamical systems theory of public opinion (2017)
  • Author(s): T. Cheon
  • Organizer: Chaos, and what it can reveal, Hradec Kralove, Czechia
  • Int'l Joint Research / Invited
• [Presentation] Dynamical Galam model (2017)
  • Author(s): T. Cheon
  • Organizer: 4rth Dynamics Days Central Asia, Bukhara, Uzbekistan
  • Int'l Joint Research / Invited
• [Presentation] リング上における非線形方程式固有解の準位交差と反発 (2017)
  • Author(s): 中村 孝明, 川又 将大, 全 卓樹
  • Organizer: 日本物理学会 2017年度秋の分科会
• [Presentation] Quantum vertices: Theory and applications (2016)
  • Author(s): Taksu Cheon
  • Organizer: 3rd Dynamics Days in Central Asia
  • Place of Presentation: Astana, Kazakhstan
  • Year and Date: 2016-09-05
  • Int'l Joint Research / Invited
• [Presentation] Adiabatic cycles in quantum systems with contact interactions (2016)
  • Author(s): Taksu Cheon
  • Organizer: International Workshop Wave dynamics in branched systems and networks
  • Place of Presentation: Tashkent, Uzbekistan
  • Year and Date: 2016-05-25
  • Int'l Joint Research / Invited
• [Presentation] 世論力学拡張ガラムモデルにおける種々のエージェントタイプの効果 (2016)
  • Author(s): 森本潤, 全卓樹
  • Organizer: 日本物理学会 第71回年次大会
  • Place of Presentation: 東北学院大学
  • Year and Date: 2016-03-22
• [Presentation] 世論力学Galam模型の新種エージェントによる安定化について (2015)
  • Author(s): 森本潤, 全卓樹
  • Organizer: 日本物理学会 2015年秋季大会
  • Place of Presentation: 関西大学
  • Year and Date: 2015-09-19
• [Presentation] 新奇な量子ホロノミーの非断熱拡張の例 (2015)
  • Author(s): 田中篤司, 全卓樹
  • Organizer: 日本物理学会 2015年秋季大会
  • Place of Presentation: 関西大学
  • Year and Date: 2015-09-16
• [Book] 量子力学的手法によるシステムと制御 (2017)
  • Author(s): 伊丹 哲郎、松井 伸之 、乾 徳夫、全 卓樹
  • Total Pages: 242
  • Publisher: コロナ社
  • ISBN: 9784339033564
• [Remarks] 全卓樹ホームページ
  • URL: https://researchmap.jp/T_Zen/
• [Remarks] 全卓樹HomePage @ Researchmap
  • URL: http://researchmap.jp/T_Zen/
• [Remarks] 全卓樹ー研究者ーResearchmap
  • URL: http://researchmap.jp/T_Zen/