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Formulation of Bose-Einstein condensation of neutral atoms based on thermal field theory

Research Project

Project/Area Number 17540364
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 InstitutionWaseda University

Principal Investigator

YAMANAKA Yoshiya  Waseda University, 理工学術院, 教授 (10174757)

Co-Investigator(Kenkyū-buntansha) 奥村 雅彦  独立行政法人日本原子力研究開発機構, 特定課題推進員 (20386600)
峰 真如  早稲田大学, 理工学術院, 助手 (80434306)
Co-Investigator(Renkei-kenkyūsha) OKUMURA Masahiko  日本原子力研究開発機構, システム科学計算センター, 特定課題推進員 (20386600)
MINE Makoto  早稲田大学, 理工学術院, 助手 (80434306)
KOBAYASHI Keita  早稲田大学, 理工学術院, 助手 (00468860)
Project Period (FY) 2005 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,660,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywords場の量子論 / 物性基礎論 / ボース・アインシュタイン凝縮 / 数理物性 / ボーズ・アインシュタイン凝縮 / 数理物理
Research Abstract

近年の冷却中性原子系ではすベての原子が一番低いエネルギー状態に集まり全体として巨視的な量子状態となるBose-Einstein凝縮体が実験で実現されている。この系は理論計算と直接比較できるものであり、量子多体系の基礎理論を様々な面での検証の機会を与えている。我々は、量子力学ではなく現時点で究極の理論と考えられている場の量子論の立場に徹して理論的研究を行い、矛盾ない理論を構築している。

Report

(5 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (54 results)

All 2009 2008 2007 2006 2005 Other

All Journal Article (28 results) (of which Peer Reviewed: 16 results) Presentation (24 results) Book (2 results)

  • [Journal Article] Nonequilibrium TFD for systems of trapped cold atoms2009

    • Author(s)
      山中由也, 奥村雅彦, 峰真如, 須永 知夏, 中村祐介
    • Journal Title

      素粒子論研究 116

    • Related Report
      2008 Final Research Report
  • [Journal Article] 高次量子渦をもったBECの動的不安定性の場の理論的記述と状態表現の吟味2009

    • Author(s)
      須永知夏, 峰真如. 三竿和也, 山中由也
    • Journal Title

      素粒子論研究 116

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Nonequilibrium TFD for systems of trapped cold atoms2009

    • Author(s)
      山中由也, 奥村雅彦, 峰真如, 須永知夏, 中村祐介
    • Journal Title

      素粒子論研究 116

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices2008

    • Author(s)
      Keita Kobayashi, Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Annals of Physics 323

      Pages: 1247-1270

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Condition for Emergence of Complex Eigenvalues in the Bogoliubov-de Gennes Equations2008

    • Author(s)
      Yusuke Nakamura, Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Physical Review A 77

      Pages: 43601-43601

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum field theoretical analysis on unstable behavior of Bose-Einstein condensates in optical lattic es2008

    • Author(s)
      K. Kobayashi, M. Mine, M. Okumura, Y. Yamanaka
    • Journal Title

      Ann. Phys. 323

      Pages: 1247-1270

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Condition for Emergence of Complex Eigenvalues in the Bogoliubov-de Gennes Equations2008

    • Author(s)
      Y. Nakamura, M. Mine, M. Okumura, Y. Yamanaka
    • Journal Title

      Phys. Rev. A 77

      Pages: 43601-16

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quantum Field Theoretical Description of Unstable Behavior of Trapped Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations2007

    • Author(s)
      Makoto Mine, Masahiko Okumura, Tomoka Sunaga, Yoshiya Yamanaka
    • Journal Title

      Annals of Physics 322

      Pages: 2327-2349

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Condition for the Existence of Complex Modes in a Trapped Bose-Einstein Condensate with a Highly Quantized Vortex2007

    • Author(s)
      Eriko Fukuyama, Makoto Mine, Masahiko Okumura, Tomoka Sunaga, Yoshiya Yamanaka
    • Journal Title

      Physical Review A 76

      Pages: 43608-43608

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum field theoretical description of unstable behavior of trapped Bose-Einstein condensates with complex eigenvalues of Bogoliubov-de Gennes equations2007

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga, and Y.Yamanaka
    • Journal Title

      Ann.Phys. 322

      Pages: 2327-2349

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Condition for the existence of complex modes in a trapped Bose-Einstein condensate with a highly quantized vortex2007

    • Author(s)
      E.Fukuyama, M.Mine, T.Sunaga, M.Okumura.and Y.Yamanaka
    • Journal Title

      Phvs.Rev.A 76

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2007

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga and Y.Yamanaka
    • Journal Title

      J.Low Temp.Phys. 148

      Pages: 331-336

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Condition for Existence of Complex Modes in Trapped Bose-Einstein Condensate with a Highly Quantized Vortex2007

    • Author(s)
      T.Sunaga, E.Fukuyama, M.Mine, M.Okumura and Y.Yamanaka
    • Journal Title

      J.Low Temp.Phys. 148

      Pages: 381-386

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Qauntum Field Theoretical Description of Unstable Behavior of a Bose-Einstein Condensate with a Highly Quantized Vortex in a Hamonic Potential2007

    • Author(s)
      M.Okumura, M.Mine, T.Sunaga, Y.Yamanaka
    • Journal Title

      Laser Physics 17

      Pages: 211-214

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Goldstone Theorem, Hugenholtz-Pines Theorem and Ward-Takahashi Relation in Finite Volume Bose-Einstein Condensed Gases2006

    • Author(s)
      Hiroaki Enomoto, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Annals of Physics 321

      Pages: 1892-1917

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Unitarily Inequivalent Vacua in Bose-Einstein Condensation of Trapped Gases2006

    • Author(s)
      Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Physica A 365

      Pages: 429-445

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effect of the Zero-Mode on the Response of a Trapped Bose-Condensed Gas2006

    • Author(s)
      Makoto Mine, Tomoi Koide, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Progress of Theoretical Physics 115

      Pages: 683-700

    • NAID

      110004757915

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Relation between generalized Bogoliubov and Bogoliubov-de Gennes approaches including Nambu-Goldstone mode2005

    • Author(s)
      Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      J. Math. Phys. 46

      Pages: 42307-42307

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article]

    • Author(s)
      K.Kobayashi, M.Mine, M.Okumura, and Y.Yamanaka
    • Journal Title

      Ann.Phys. (掲載決定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Condition for Emergence of Complex Eigenvalues in the Bogoliubov-de Gennes Equations

    • Author(s)
      Y.Nakamura, M.Mine, M.Okumura, and Y.Yamanaka
    • Journal Title

      Phys.Rev.A (掲載決定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 1

    • Author(s)
      小林 恵太, 峰 真如, 奥村 雅彦, 山中 由也
    • Journal Title

      (掲載決定)

    • Related Report
      2007 Annual Research Report
  • [Journal Article] 解析的手法によるBose-Einstein Condensateにおける複素モード出現条件

    • Author(s)
      中村 祐介, 峰 真如, 奥村 雅彦, 山中 由也
    • Journal Title

      (掲載決定)

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga, Y.Yamanaka
    • Journal Title

      Annals of Physics (To be published)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Quantum Field Theoretical Description of Dynamical Instability of Trapped Bose-Einstein Condensates

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga, Y.Yamanaka
    • Journal Title

      Journal of Low Temperature Physics (To be published)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The Condition for Existence of Complex Modes in Trapped Bose-Einstein Condensate with a Highly Quantized Vortex

    • Author(s)
      T.Sunaga, E.Fukuyama, M.Mine, M.Okumura, Y.Yamanaka
    • Journal Title

      Journal of Low Temperature Physics (To be published)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Unitarily inequivalent vacua in Bose-Einstein condensation of trapped gases

    • Author(s)
      Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Physica A (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Goldstone theorem, Hugenholtz-Pines theorem and Ward-Takahashi relation in finite volume Bose-Einstein condensed gases

    • Author(s)
      Hiroaki Enomoto, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Annals of Physics (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Effect of zero-mode on response of trapped Bose-condensed Gas

    • Author(s)
      Makoto Mine, Tomoi Koide, Masahiko Okumura, Yoshiya Yamanaka
    • Journal Title

      Pros.Theor.Phys. (掲載決定)

    • NAID

      110004757915

    • Related Report
      2005 Annual Research Report
  • [Presentation] 非平衡Thermo Field Dynamicsに基づく冷却原子気体系の量子Boltzmann方程式2009

    • Author(s)
      中村祐介, 須永知夏, 峰真如, 奥村雅彦, 山中由也
    • Organizer
      2009年年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Final Research Report
  • [Presentation] 高次量子渦を持つ2成分BECにおける動的不安定性2009

    • Author(s)
      竹井郁夫, 峰真如, 小林恵太, 須永知夏, 山中由也
    • Organizer
      2009年年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Final Research Report
  • [Presentation] 非平衡Thermo Field Dynamicsに基づく冷却原子気体系の量子Boltzmann方程式2009

    • Author(s)
      中村祐介, 須永知夏, 峰真如, 奥村雅彦, 山中由也
    • Organizer
      日本物理学会2009年年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高次量子渦を持つ2成分BECにおける動的不安定性2009

    • Author(s)
      竹井郁夫, 峰真如, 小林恵太, 須永知夏, 山中由也
    • Organizer
      日本物理学会2009年年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] ボーズ凝縮体における高次量子渦崩壊の解析的記述2008

    • Author(s)
      小林恵太, 中村祐介, 峰真如, 山中由也
    • Organizer
      2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] ボーズ凝縮体における高次量子渦崩壊の解析的記述2008

    • Author(s)
      小林恵太, 中村祐介, 峰真如, 山中由也
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高次量子渦をもったBECの動的不安定性における量子揺らぎ効果2008

    • Author(s)
      須永知夏, 峰真如, 三竿和也, 山中由也
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] Nonequilibrium TFD for systems of trapped cold atoms2008

    • Author(s)
      山中由也, 奥村雅彦, 峰真如, 須永知夏, 中村祐介
    • Organizer
      熱場の量子論とその応用
    • Place of Presentation
      京都大学
    • Year and Date
      2008-09-04
    • Related Report
      2008 Final Research Report
  • [Presentation] Quantum Fluctuation Effect in Dynamical Instability of Bose-Einstein Condensate with a Highly Quantized Vortex2008

    • Author(s)
      T. Sunaga, M. Mine, K. Misao, Y. Yamanaka
    • Organizer
      The 21st International Conference on Atomic Physics
    • Place of Presentation
      Connecticut大学
    • Year and Date
      2008-07-31
    • Related Report
      2008 Final Research Report
  • [Presentation] Condition for Dynamical Instability of a Trapped Bose-Einstein Condensate with a Highly Quantized Vortex2008

    • Author(s)
      M. Mine, E. Fukuyama, T. Sunaga, M. Okumura, and Y. Yamanaka
    • Organizer
      The 21st International Conference on Atomic Physics
    • Place of Presentation
      Connecticut大学
    • Year and Date
      2008-07-31
    • Related Report
      2008 Final Research Report
  • [Presentation] Condition for Dynamical Instability of a Trapped Bose-Einstein Condensate with a Highly Quantized Vort ex2008

    • Author(s)
      M. Mine, E. Fukuyama, T. Sunaga, M. Ok umura, Y. Yamanaka
    • Organizer
      The 21st International Conference on Atomic Physics
    • Place of Presentation
      Connectiout大学
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quantum Fluctuation Effect in Dynamical Instability of Bose&#8211Einstein Condensate with a Highly Quantized Vortex2008

    • Author(s)
      T. Sunaga, M. Mine, K. Misao, Y. Yamanaka
    • Organizer
      The 21st International Conference on Atomic Physics
    • Place of Presentation
      Connecticut大学
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Condition for the existence of complex modes in a trapped Bose-Einstein condensate with a highly quantized vortex2008

    • Author(s)
      M.Mine, E.Fukuyama, T.Sunaga, M.Okumura, and Y.Yamanaka
    • Organizer
      APS March Meeting 2008
    • Place of Presentation
      New Orleans, USA
    • Year and Date
      2008-03-11
    • Related Report
      2007 Annual Research Report
  • [Presentation] Analysis on the Condition of the Emergence of Complex Eigenvalues in the BdG Equation2008

    • Author(s)
      Y. Nakamura, M. Mine, M. Okumura, and Y. Yamanaka
    • Organizer
      Ultracold NanoMatter 2008
    • Place of Presentation
      York大学
    • Year and Date
      2008-02-14
    • Related Report
      2008 Final Research Report
  • [Presentation] Quantum Fieid Theoretical Description of Dynamical instability of Trapped Bose-Einstein Condensates2008

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga, and Y.Yamanaka
    • Organizer
      Ultracold NanoMatter 2008
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2008-02-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Unstable Behavior of a BEC in an Optical Lattice-Quantum Field Theoretical Approach2008

    • Author(s)
      K.Kobayashi, M.Mine, M.Okumura, and Y.Yamanaka
    • Organizer
      Ultracold NanoMatter 2008
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2008-02-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] On the Condition of the Emergence of Complex Eigenvalues in the BdG Equation2008

    • Author(s)
      Y.Nakamura, M.Mine, M.Okumura, and Y.Yamanaka
    • Organizer
      Ultracold NanoMatter 2008
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2008-02-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] 12007

    • Author(s)
      小林 恵太, 峰 真如, 奥村 雅彦, 山中 由也
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] ogoliubov-de Gennes方程式における複素固有値出現条件の解析2007

    • Author(s)
      中村 祐介, 峰 真如, 奥村 雅彦, 山中 由也
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 12007

    • Author(s)
      T.Sunaga, E.Fukuyama, M.Mine, M.Okumura, and Y.Yamanaka
    • Place of Presentation
      早稲田大学
    • Year and Date
      2007-09-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] 12007

    • Author(s)
      M.Mine, M.Okumura, T.Sunaga, and Y.Yamanaka
    • Place of Presentation
      London, UK
    • Year and Date
      2007-09-12
    • Related Report
      2007 Annual Research Report
  • [Presentation]2007

    • Author(s)
      小林 恵太, 峰 真如, 奥村 雅彦, 山中 由也
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-09-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] 解析的手法によるBose-Einstein Condensateにおける複素モード出現条件2007

    • Author(s)
      中村 祐介, 峰 真如, 奥村 雅彦, 山中 由也
    • Organizer
      基研研究会「熱場の量子論とその応用」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-09-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Bogoliubov-de Gennes Approach with Complex Eigenmodes and Physical States2006

    • Author(s)
      M. Mine, M. Okumura, T. Sunaga and Y. Yamanaka
    • Organizer
      CDAMOP2006
    • Place of Presentation
      Delhi大学
    • Year and Date
      2006-03-22
    • Related Report
      2008 Final Research Report
  • [Book] 複雑系叢書5複雑さと法則2006

    • Author(s)
      早稲田大学複雑系高等学術研究所(編)
    • Total Pages
      221
    • Publisher
      共立出版
    • Related Report
      2008 Final Research Report
  • [Book] 複雑さと法則(複雑系叢書 5)2006

    • Author(s)
      早稲田大学複雑系高等」学術研究所 編
    • Publisher
      共立出版
    • Related Report
      2006 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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