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2005 Fiscal Year Final Research Report Summary

3-Dimensional Simulation of Quantum Vortex in a Bose-Einstein Condensate

Research Project

Project/Area Number 16540355
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

SASA Narimasa  Japan Atomic Energy Agency, Center for Computational Science and e-System, Researcher, トステム計算科学センター, 研究員 (10360421)

Co-Investigator(Kenkyū-buntansha) MACHIDA Masahiko  Japan Atomic Energy Agency, Center for Computational Science and e-System, Senior Researcher, トステム計算科学センター, 研究主幹 (60360434)
TSUBOTA Makoto  Osaka City University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (10197759)
Project Period (FY) 2004 – 2005
Keywordsatomic, molecular physics / condensed matter physics / computational physics
Research Abstract

1.We directly integrate the 3-D time-dependent Gross-Pitaevskii equation in order to examine how Bose-Einstein condensate (BEC) dynamically changes by a trigger of the rotation. We present unexplored 3-D non-steady dynamics including the surface ripples preceding vortex initiations, the vortex turbulent state and the vortex lattice state.
2.In order to clarify the structure of a single quantized vortex in a superfluid fermion gas near the Feshbach resonance, we numerically solve the generalized Bogoliubov-de Gennes equation in the boson-fermion model. We present detailed properties of single vortex in a superfluid fermion gas.
3.The energy spectrum of superfluid turbulence is studied numerically by solving the Gross-Pitaevskii equation. The obtained energy spectrum is consistent with the Kolmogorov low.

  • Research Products

    (34 results)

All 2005 2004

All Journal Article (34 results)

  • [Journal Article] 3-Dimensional Dynamics of vortices in a Rotating Bose-Eins tein Condensate2005

    • Author(s)
      N.Sasa
    • Journal Title

      J. Low Temp. Phys. 138 ・ 3/4

      Pages: 617

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Coexistence of Vortex Liquid and Solid in Rotating Bose-Einstein Condensate2005

    • Author(s)
      M.Machida
    • Journal Title

      J. Low Temp. Phys. 138・3/4

      Pages: 617

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Three-dimensional dynamics of vortex-lattice formation in Bose-Einstein condensates2005

    • Author(s)
      K.Kasamatsu
    • Journal Title

      Phys. Rev. A 71・6

      Pages: 063616-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 代数的多重格子法による超伝導Ginzburg-Landau方程式の解法2005

    • Author(s)
      佐々成正
    • Journal Title

      日本計算工学会論文集 7

      Pages: 83

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Structure of a Quantized Vortex near the BCS-BEC Crossover in an Atomic Fermi Gas2005

    • Author(s)
      M.Machida
    • Journal Title

      Phys. Rev. Lett 94・14

      Pages: 140401-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Direct numerical simulations for non-equilibrium superconducting dynamics and related neutron detection in MgB22005

    • Author(s)
      M.Machida
    • Journal Title

      Physica C 426-431

      Pages: 169

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Quantum theory for the Josephson phase dynamics in a d-dot2005

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 426-431

      Pages: 1561

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Josephson half-quantized vortices in long square π junctions around d-dot2005

    • Author(s)
      M.Machida
    • Journal Title

      Physica C 426-431

      Pages: 1566

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Kolmogorov Spectrum of Superfluid Turbulence : Numerical Analysis of the Gross-Pitaevskii Equation with a Small-Scale Dissipation2005

    • Author(s)
      M.Kobayashi
    • Journal Title

      Phys. Rev. Lett 94・6

      Pages: 065302-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Kolmogorov Spectrum of Quantum Turbulence2005

    • Author(s)
      M.Kobayashi
    • Journal Title

      J. Phys. Soc. Jpn. 74・12

      Pages: 3248

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 3-Dimensional Dynamics of Vortices in a Rotating Bose-Einstein Condensate2005

    • Author(s)
      N.Sasa, M.Machida, H.Matsumoto
    • Journal Title

      J.Low Temp.Phys. 138

      Pages: 617-622

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Coexistence of Vortex Liquid and Solid in Rotating Bose-Einstein Condensate2005

    • Author(s)
      M.Machida, N.Sasa, H.Matsumoto
    • Journal Title

      J.Low Temp.Phys. 138

      Pages: 623-628

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Three-dimensional dynamics of vortex-lattice formation in Bose-Einstein condensates2005

    • Author(s)
      K.Kasamatsu, M.Machida, N.Sasa, M.Tsubota
    • Journal Title

      Phys.Rev.A 71

      Pages: 063616-1-063616-5

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Application of AMG to the Ginzburg-Landau Equation in Superconductors2005

    • Author(s)
      N.Sasa, S.Yamada, M.Machida, C.Arakawa
    • Journal Title

      Trans.Jpn.Soc.Comp.Eng.Sci. 7

      Pages: 83

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Structure of a Quantized Vortex near the BCS-BEC Crossover in an Atomic Fermi Gas2005

    • Author(s)
      M.Machida, T.Koyama
    • Journal Title

      Phys.Rev.Lett. 94

      Pages: 140401-1-140401-4

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Direct numerical simulations for non-equilibrium superconducting dynamics and related neutron detection in MgB22005

    • Author(s)
      M.Machida, T.Koyama, M.Kato, T.Ishida
    • Journal Title

      Physica C 426-431

      Pages: 169-173

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Quantum theory for the Josephson phase dynamics in a d-dot2005

    • Author(s)
      T.Koyama, M.Machida, M.Kato, T.Ishida
    • Journal Title

      Physica C 426-431

      Pages: 1561-1565

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Josephson half quantized vortices in long square injunctions around d-dot2005

    • Author(s)
      M.Machida, T.Koyama, M.Kato, T.Ishida
    • Journal Title

      Physica C 426-431

      Pages: 1566-1571

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Kolmogorov Spectrum of Superfluid Turbulence: Numerical Analysis of the Gross-Pitaevskii Equation with a Small-Scale Dissipation2005

    • Author(s)
      M.Kobayashi, M.Tsubota
    • Journal Title

      Phys.Rev.Lett. 94

      Pages: 065302-1-065302-4

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Kolmogorov Spectrum of Quantum Turbulence2005

    • Author(s)
      M.Kobayashi, M.Tsubota
    • Journal Title

      J.Phys.Soc.Jpn. 74

      Pages: 3248-3258

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] スプリッティング法による超伝導Ginzburg-Landau方程式の数値解法2004

    • Author(s)
      佐々成正
    • Journal Title

      日本応用数理学会論文誌 14・2

      Pages: 91

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Localized rotating-modes in capacitively coupled intrinsic Josephson junctions : Systematic study of branching structure and collective dynamical instabillity2004

    • Author(s)
      M.Machida
    • Journal Title

      Phys. Rev. B 70・2

      Pages: 024523-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Novel Superfluidity in a Trapped Gas of Fermi Atoms with Repulsive Interaction Loaded on an Optical Lattice2004

    • Author(s)
      M.Machida
    • Journal Title

      Phys. Rev. Lett 93・20

      Pages: 200402-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Vortex dynamics under periodic high-Tc dot arrays embedded in low Tc superconductors2004

    • Author(s)
      M.Machida
    • Journal Title

      Physica C 408-410

      Pages: 587

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Electronic struclure of a half vortex2004

    • Author(s)
      M.Machida
    • Journal Title

      Physica C 412-414

      Pages: 367

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Phase dynamics in a d-dot embedded in a s-wave superconductor2004

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 412-414

      Pages: 358

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Multiple Domain Formation Induced by Modulation Instability in Two-Component Bose-Einstein Condensates2004

    • Author(s)
      K.Kasamatsu
    • Journal Title

      Phys. Rev. Lett 93・10

      Pages: 100402-1

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Splitting Scheme for the Ginzburg-Landau Equation in Superconductors2004

    • Author(s)
      N.Sasa
    • Journal Title

      JSIAM 14

      Pages: 91-98

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Localized rotating-modes in capacitively coupled intrinsic Josephson junctions : Systematic study of branching structure and collective dynamical instability2004

    • Author(s)
      M.Machida, T.Koyama
    • Journal Title

      Phys.Rev.B 70

      Pages: 024523-1-024523-6

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Novel Superfluidity in a Trapped Gas of Fermi Atoms with Repulsive Interaction Loaded on an Optical Lattice2004

    • Author(s)
      M.Machida, S.Yamada, Y.Ohashi, H.Matsumoto
    • Journal Title

      Phys.Rev.Lett. 93

      Pages: 200402-1-200402-4

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Vortex dynamics under periodic high-Tc dot arrays embedded in low Tc superconductors2004

    • Author(s)
      M.Machida, T.Koyama, M.Kato, T.Ishida
    • Journal Title

      Physica C 408-410

      Pages: 587-588

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Electronic structure of a half vortex2004

    • Author(s)
      M.Machida, T.Koyama, M.Kato, T.Ishida
    • Journal Title

      Physica C 412-414

      Pages: 367-371

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Phase dynamics in a d-dot embedded in a s-wave superconductor2004

    • Author(s)
      T.Koyama, M.Machida, M.Kato, T.Ishida
    • Journal Title

      Physica C 412-414

      Pages: 358-361

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Multiple Domain Formation Induced by Modulation Instability in Two-Component Bose-Einstein Condensates2004

    • Author(s)
      K.Kasamatsu, M.Tsubota
    • Journal Title

      Phys.Rev.Lett. 93

      Pages: 100402-1-100402-4

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2007-12-13  

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