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Quantum transport in quantum-chaotic systems

Research Project

Project/Area Number 13640391
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionOsaka City University

Principal Investigator

NAKAMURA Katsuhiro  Osaka City University, Applied Physics, Professor, 大学院・工学研究科, 教授 (50140801)

Co-Investigator(Kenkyū-buntansha) TERAI Akira  Osaka City University, Applied Physics, Assistant Professor, 大学院・工学研究科, 助教授 (20192651)
KATO Takeo  Osaka City University, Applied Physics, Lecturer, 大学院・工学研究科, 講師 (80332956)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2001: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywordsconductance / quantum dots / periodic orbit theory / BEC / Macroscopic wave function / tunneling frequency / 同期軌道理論 / カオス / コンダクタンス=ピーク / 準位統計 / フラクタル / コンダクタンスゆらぎ / 半古典理論 / 非線形動力学
Research Abstract

□Quantum transport and quantum chaos in mesoscopic systems :
In the systems showing chaos classically, various interesting problems appear if we apply quantum mechanics to such systems. This gives rise to a birth of the subject of "quantum chaos."
Using mesoscopic or nanoscale electronic devices, we can capture "quantum chaos," namely quantum manifestations of classical chaos. For a long time, people have studied stadium and Sinai billiards as typical examples of dynamical system showing chaos and ergodicity. Such billiards whose size are of nanoscale are now being made at the interface of semiconductor heterojunctions, and experiments on ballistic quantum transport in these quantum dots is in progress. We have applied the periodic orbit theory to quantum transport in classically-chaotic quantum dots and succeeded to explain the fractal conductance fluctuations observed in many experiments.
□Pattern formation and chaos in nonequilibrium ferromagnets and Bose-Einstein condensations :
We are also trying to understand mechanisms underlying the morphological nonequilibrium phase transitions. For instance, we study pattern formations in magnetic thin films in the presence of time-periodic magnetic field by using the fundamental equation (Landau-Lifshitz equation). Since such a study has a quite general and universal feature, we also analyze dynamics of vortices or textures in various Bose-Einstein condensations, too. We have succeeded to explore the effect of nonlinearity on quantum interference and dynamical tunneling in BEC.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (31 results)

All 2004 2003 Other

All Journal Article (10 results) Book (2 results) Publications (19 results)

  • [Journal Article] Negative magnetoresistance beyond weak localization in three-dimensional billiards : Effect of Arnold diffusion2003

    • Author(s)
      J.Ma, R.-K.Yuan, K.Nakamura
    • Journal Title

      Common.Theor.Phys.(Beijing, China) 39

      Pages: 279-284

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Analytic calculation of nonadiabatic transition probabilities from the monodromy of differential equations2003

    • Author(s)
      T.Kato, K.Nakamura, M.Lakshmanan
    • Journal Title

      J.Phys.A 36

      Pages: 5803-5815

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Periodic-orbits picture of fractal magnetoconductance fluctuations in quantum dots2003

    • Author(s)
      A.Budiyono, K.Nakamura
    • Journal Title

      Chaos, Solitons and Fractals 17

      Pages: 89-97

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Smoothed Coulomb blockade peak height fluctuations in a chaotic quantum cavity : semiclassical approach2003

    • Author(s)
      A.Budiyono, K.Nakamura
    • Journal Title

      Phys.Rev.B 67

      Pages: 245321-245325

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Quantum Mechanics of Two Hard Disks within a Circle Billiard2003

    • Author(s)
      N.Nakazono, T.Kato, K.Nakamura
    • Journal Title

      Prog.Theor.Phys. 150(Suppl.)

      Pages: 165-175

    • NAID

      110001196396

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Negative magnetoresistance beyond weak localization in three-dimensional billiards : Effect of Arnold diffusion2003

    • Author(s)
      J.Ma, R.-K.Yuan, K.Nakamura
    • Journal Title

      Commn.Theor.Phys.(Beijing, China) 39

      Pages: 279-284

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Analytic calculation of nonadiabatic transition probabilities from the monodromy of differential equations2003

    • Author(s)
      T Kato, K.Nakamura, M.Lakshmanan
    • Journal Title

      J.Phys.A 36

      Pages: 5803-5815

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Lead induced wave function scarring in weakly-open chaotic quantum dots2003

    • Author(s)
      A.Budiyono, K.Nakamura
    • Journal Title

      J.Phys.Soc.Jpn. 72

      Pages: 1821-1823

    • NAID

      110001954623

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Origin of quasiperiodicity in conductance fluctuations of soft-walled chaotic quantum dots2003

    • Author(s)
      A.Budiyono, K.Nakamura
    • Journal Title

      J.Phys.Soc.Jpn. 72

      Pages: 1595-1598

    • NAID

      110001954581

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Self-affine-like magnetoconductance fluctuations : Quasiperiodicity with Weierstrass-like spectrum2003

    • Author(s)
      A.Budiyono, K.Nakamura
    • Journal Title

      Phys.Rev.B 68

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Book] Quantum Chaos and Quantum Dots2004

    • Author(s)
      K.Nakamura, T.Harayama
    • Total Pages
      212
    • Publisher
      Oxford University Press
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Book] Quantum chaos and quantum dots2004

    • Author(s)
      K.Nakamura, T.Harayama
    • Total Pages
      212
    • Publisher
      Oxford University Press
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Nakamura: "Smoothed coulomb blockade"Physical Review B. 67. 245321-245325 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura: "Lead induced wave function scarring"Journal of Physical Society of Japan. 72. 1821-1823 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura: "Origin of quasi-periodicity"Journal of Physical Society of Japan. 72. 1595-1598 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura: "Self-affine-like magnetoconductance"Physical Review B. 68. 121304(R)-121307(R) (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura: "Quantum mechanics of two hard disks"Progress of Theoretical Physics, Supplement. 150. 165-175 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Kato: "Signature of quantum chaos"Physics Letters A. 322. 324-329 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura: "Quantum Chaos and Quantum Dots"Oxford University Press. 212 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakamura, J.Ma: "Negative MagnetoResistance in Three-Dimensional Quantum Billiards : Role of Arnold Diffusion"J. of Phys. Soc. of Japan. 72巻. 1-4 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Budiyono, K.Nakamura: "Periodic-Orbits Picture of Fractal Magnetoconductance Fluctuations in Quantum Dots"Chaos, Solitons and Fractals. 17巻. 89-97 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Fukuo, K.Nakamura: "Dynamics of Quantized Photon and Electron Field in Semiconductor Multi-Subbands Superlattices"J. of Phys. Soc. of Japan. 71巻. 2891-2897 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Budiyono, K.Nakamura: "Self-Similar Magnetoconductance Fluctuations Induced by Self-Similar Periodic Orbits"J. of Phys. Soc. of Japan. 71巻. 2090-2093 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Tanimoto, T.Kato, K.Nakamura: "Phase Dynamics in SQUID's : Anomalous Diffusion"Phys. Rev. B. 66巻. 012507-012510 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kato: "Correlation effects on Josephson currents through the one-dimensional Josephson arrays"J. Phys. Chem. Solids. 63巻. 1515-1518 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Kato: "Boundary effects on Josephson current through one-dimensional Josephson junction arrays"Phys. Rev. B. 65巻. 132511 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中村勝弘: "量子カオスとビリアード"日本物理学会誌. vol.56, No.4. 233-242 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Nakamura: "Quantum Transport in Quantum Billiards"Fundamental Problems in Quantum Physics(World Scientific). (印刷中).

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Kato: "Local Inhornogeneity Effects on Nucleation Process in a High External Bias"Physical Review B. 64. 134106 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Kato: "Boundary Effects on Josephson Current through one-Dimensional Josephson Junction Array"Physical Review B. (To be published.).

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Kato: "Cornelation Effects of Josephson currents through the one-Dimenisional Josephson Arrays"Journal of Physics and Chemistry of Solids. (To be published).

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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