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2002 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 1999 – 2002
KeywordsBEC / ATTRACTIVE INTERACTUION / VECTORIAL ORDER PARAMETER / QUANTUM VORTEX / MULTI-COMPONENT CONDNSATE / NONLINEAR INTERACTION / PATTERN FORMATION
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.

  • Research Products

    (15 results)

All Other

All Publications (15 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2004-04-14  

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