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Theoretical study on the Quantum Statistical Aspects of BEC

Research Project

Project/Area Number 11216204
Research Category

Grant-in-Aid for Scientific Research on Priority Areas

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionTokyo Institute of Technology (2000-2002)
Hiroshima University (1999)

Principal Investigator

UEDA Masahito  Tokyo Institute of Technology, Department of Physics, Professor, 理工学研究科, 教授 (70271070)

Co-Investigator(Kenkyū-buntansha) ADACHI Satoshi  Tokyo Institute of Technology, Department of Physics, Assistant, 理工学研究科, 助手 (90211698)
MACHIDA Kazushige  Okayama University, Department of Physics, Professor, 理学部, 教授 (50025491)
OHMI Tetsuo  Kyoto University, Department of Physics, Professor, 大学院・理学研究科, 教授 (70025435)
SAITO Hiroki  Tokyo Institute of Technology, Department of Physics, Research Associate, 理工学研究科, 研究員 (60334497)
斎藤 弘樹  東京工業大学, 大学院・理工学研究科, 研究員
谷口 伸彦  広島大学, 工学部, 助手 (70227221)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥19,600,000 (Direct Cost: ¥19,600,000)
Fiscal Year 2002: ¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 2001: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2000: ¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 1999: ¥6,800,000 (Direct Cost: ¥6,800,000)
KeywordsBEC / ATTRACTIVE INTERACTUION / VECTORIAL ORDER PARAMETER / QUANTUM VORTEX / MULTI-COMPONENT CONDNSATE / NONLINEAR INTERACTION / PATTERN FORMATION / ボースアインシュタイン凝縮 / ベクトル的秩序変数 / 非線形相互作用 / ボース・アインシュタイン凝縮 / ボーズ凝縮 / スピン自由度 / 量子渦状態 / ボゴリウボフ理論 / 合的ボーズ凝縮 / 量子ホール転移 / 渦糸の融解
Research Abstract

The A4 group consisted of theoreticians working on the physics of BEC. (1) Ueda's group studied on the physics of BEC under attractive interaction. The state of the attractive BEC is at best a metastable state and eventually collapses. They studied the mechanism of the BEC collapsing and found that a BEC near the critical temperature grows macroscopic quantum tunneling, and then the BEC collapses. The found also the quantization of circulation that was guaranteed in a repulsive BEC was only partially satisfied in an attractive BEC. The quantization of circulation is know as a signature of superfluidity. The breakdown of the quantization in an attractive BEC adds new insight on the fundamental properties of BEC. They studied also the dynamics of BEC when the interaction is switched from repulsive to attractive. Their findings are (i) when a large BEC is switched from repulsive to attractive interaction, various nonlinear pattern (shell structure, layered structure,....) is expected to appear. (ii) They studied the dynamics of vortex generated when the interaction is repulsive. They found various dynamical instabilities that was a function of the interaction strength. The instabilities cause fracture of the vortex, and the vortex collapses. (iii) They showed in an attractive BEC two-dimensional bright is stabilized if the sign and amplitude of the interaction potential is modulated. Ohmi and Machida studied on me phase separation of multi-state BEC, dynamics of the phase transition, a new method of generating vortices, and on the stability of vortices.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (50 results)

All Other

All Publications (50 results)

  • [Publications] H.Saito, M.Ueda: "Intermittent Implosion and Pattern Formation of Trapped Bose-Einstein Condensates with Attractive Interaction"Phys.Rev.Lett.. 86. 1406-1409 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Hyouguchi, S.Adachi, M.Ueda: "Divergence-free WKB method"Phys.Rev.Lett.. 88. 170404-1-170404-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Saito, M.Ueda: "Split instability of a Vortex in an attractive Bose-Einstein condensate"Phys.Rev.Lett.. 89. 190402-1-190402-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Machida, T.Ohmi: "Phenomenological Theory of Ferromagetic Superconductivity"Phys.Rev.Lett.. 86. 850-853 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Mizushima, K.Machida, T.Kita, Mermin-Ho: "Vortex in Ferromagnetic Spinor Bose-Einstein Condensates"Phys.Rev.Lett.. 89. 030401-1-030401-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Saito, M.Ueda: "Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate"Phys.Rev.Lett.. 90. 040403-1-040403-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Koashi and M. Ueda: "Reversing Measurement and Probabilistic Quantum Error Correction"Pays. Rev. Lett.. 82. 2598-2601 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Ueda and A J. Leggett: "Ground-State Properties of a Rotating Bose-Einstein Condensate with Attractive Interaction"Phys. Rev. Lett.. 83. 1489-1493 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Koashi and M. Ueda: "Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Bose-Einstein Condensates"Phys. Rev. Lett.. 84. 1066-1069 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H. Saito and M. Ueda: "Intermittent implosion and Pattern Formation of Trapped Bose-Einstein Condensates with Attractive Interaction"Phys. Rev. Lett.. 86. 1406-1409 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Hyouguchi, S. Adachi, and M. Ueda: "Divergence-free WKB method"Phys. Rev. Lett.. 88. 170404(1)-17040(44) (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H. Saito and M Ueda: "Split instability of a Vortex in an attractive Bose-Einstein condensate"Phys. Rev. Lett.. 89. 190402(1)-190402(4) (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H. Saito and M.. Ueda: "Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate"Phys. Rev. Lett.. 90. 040403 (1)-040403(4) (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Machida and T.Ohmi: "Phenomenological Theory of Ferromagetic Superconductivity"Phys. Rev. Lett.. 86. 850-853 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Mizushima, K. Machida, and T. Kita: "Mermin-Ho Votex in Ferromagnetic Spinor Bose-Einstein Condensates"Phys. Rev. Lett.. 89. 030401 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Hyouguchi, S.Adachi, M.Ueda: "Divergence-free WKB method"Physical Review Letters. Vol.88・17. 170404(1)-170404(4) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Saito, M.Ueda: "Split instability of a vortex in an attractive Bose-Einstein condensate"Physical Review Letters. Vol.89・19. 190402(1)-190402(4) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Saito, M.Ueda: "Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate"Physical Review Letters. Vol.90・4. 040403(1)-040403(4) (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Mizushima, K.Machida, T.Kita: "Spinor Bose-Einstein condensates with many vorticies"Physical Review A. Vol.66. 061601(1)-061601(4) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Mizushima, K.Machida, T.Kita: "Mermin-Ho vortex in ferromagnetic spinor Bose-Einstein condensates"Physical Review Letters. Vol.89. 030401(1)-030401(4) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Ogawa, M.Mottonen, M.Nakahara, T.Ohmi, H.Shimada: "Method to create a vortex in a Bose-Einstein condensates"Physical Review A. Vol.66. 013617(1)-013617(7) (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 上田正仁, 大見哲臣, 町田一成, その他(勝本信吾編集): "パリティブックス「レーザー冷却が開く原子波の世界」"丸善出版. 165 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Saito, M.Ueda: "Power laws and collapsing dynamics of trapped Bose-Einstein condensates with attractive interaction"Phys.Rev.A.. Vol.63. 043601 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Nakajima, M.Ueda: "Low-lying excitations from the yrast line of weakly interacting trapped bosons"Phys.Rev.A. Vol.63. 044104 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Ueda, T.Nakajima: "Operator-algebraic approach to the yrast spectrum of weakly interacting trapped bosons"Phys.Rev.A. Vol.64. 063609 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Tubota, K.Kasamatsu, M.Ueda: "Vortex lattice formation in a rotating Bose-Einstein condensate"Phys.Rev.A. Vol.64. 023603 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Machida, T.Ohmi: "Phenomenological Theory of Ferromagetic Superconductivity"Phys.Rev.Lett.. Vol.86. 850-853 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Isoshima, K.Machida, T.Ohmi: "Quantum Vortex in a Spinor Bose-Einstein Condensete"J.Phys.Soc.Jpn.. 70. 1604-1610 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Nakahara, T.Isoshima, K.machida, S.Ogawa, T.Ohmi: "Simple method to create a vortex in Bose -Einstein condensate of alkali atoms"Physica B. 284-288. 17-18 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Isoshima, T.Ohmi, K.Machida: "Doble phase transitions in magnetized spinor Bose-Einstein condensation"J.Phys.Soc.Jpn.. 69. 3864-3869 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Isoshima, M.Nakahara, T.Ohmi, K.Machida: "Creatin of a persistent current and vortex in a Bose-Einstein condensate of alkalimetal atoms"Phys.Rev.A. 61. 063610,1-063610,10 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Mizushima, T.Isoshima, K.Machida: "Vortex phase diagram in Bose-Einstein condensate"Phys.Rev.A. 64. 043610,1-043610,10 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Koashi and M.Ueda: "Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Bose -Einstein Condensates"Phys.Rev.Lett.. Vol.84. 1066-1069 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Ueda: "Many-Body Theory of Dilute Bose-Einstein Condensates with Internal Degrees of Freedom"Phys.Rev.A. Vol.63. 013601-013604 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Saito and M.Ueda: "Intermittent Implosion and Shell-Structure Formation of Trapped Bose-Einstein Condensates with Attractive Interaction"Phys.Rev.Lett.. Vol.86. 1406-1409 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Machida and T.Ohmi: "Phenomenological Theory of Ferromagetic Superconductivity"Phys.Rev.Lett.. 86. 850-853 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Ichioka,M.Takigawa,and K.Machida: "Vortex Structure in Sperconducting Stripe States"J.Phys.Soc.Jpn. 70・1. 33-36 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Isoshima,T.Ohmi, and K.machida: "Double Phase Transitions in Magnetized Spinor Bose-Einstein Condensation"J.Phys.Soc.Jpn.. 69・12. 3864-3869 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.G.Lebed,K.Machida and M.Ozaki: "Triplet Electron Pairing and Anisotropic Spin Superconductivity in Organic Supercondnctors (TMTSF) 2X"Phys.Rev.B. 62・2. R795-R798 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Takigawa,M.Ichioka and K.Machida.: "Site-Selective Nuclear Magnetic Rexation Time in a Superconducting Vortex state."J.Phys.Soc.Jpn.. 69・12. 3943-3954 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Isoshima,M.Nakahara,T.Ohmi and K.Machida: "Creation of a Persistent Current and Vortex in a Bose-Einstein Condensate of Alkali-Metal Atoms."Phys.Rev.A. 61・6. 063610-1-10 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Machida and T.Ohmi: "Orbital Pairing Form and Topology of Triplet Superconductivity in Upt_3"Physica B. 280. 172-173 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Nakahara,T.Isoshima,K.Machida,S.Ogawa and T.Ohmi: "A Simple Method to Create a Vortex in Bose-Einstein Condensate of Alkali Atoms"Physica B. 284-288. 17-18 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] O.Ishikawa,R.Ishiguro,K.Fukuda,Y.Sasaki,T.Takagi,T.Ohmi,T.Mizusaki,A.Marchenkov,J.C.Davis and R.E.Pachard: "NMR Measurement of Superfluid ^3He-A in Cylindrical Cell under Rotation."Physuca B. 284-288. 288-289 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Ueda: "Ground-state properties of rotating Boso-Einstein condensates with attractive interaction"Physical Review Letter. 83. 1489-1493 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Koashi: "Exact eigenstates and magnetic response of spin-1 and spin-2 Bose-Einstein condensates"Physical Review Letters. 84. 1066-1069 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Machida: "Orbital symmetry of a triplet pairing in a heavy fermion supercondactor UPt3"J.Phys.Soc.Jpn.. 68. 3364-3371 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Furukawa: "Paramagnon and size effects for Tc in superfluid 3He films"J.Phys.Soc.Jpn.. 68. 3931-3935 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Isoshima: "Spin-domain formation in spinor Bose-Einstein condensation"Physical Review A. 60. 4857-4863 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Hasegawa: "Spin-triplet superconductivity with line nodes in Sr2Ru04"J.Phys.Soc.Jpn.. 69. 336-339 (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2018-03-28  

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