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Theoretical study of Bose-Einstein condensates using a new self-consistent perturbation expansion

Research Project

Project/Area Number 22540356
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics II
Research InstitutionHokkaido University

Principal Investigator

KITA Takafumi  北海道大学, 大学院・理学研究院, 准教授 (20186224)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsボーズ-アインシュタイン凝縮 / 自発的対称性の破れ / 場の量子論 / ボーズ・アインシュタイン凝縮 / グリーン関数 / ボゴリュボフ励起 / 超流動 / 超伝導 / BCS-BECクロスオーバー / ゴールドストーンの定理 / 南部-ゴールドストーン・ボゾン / 自己無撞着摂動展開 / 保存近似 / 密度揺らぎ
Research Abstract

A new self-consistent perturbation expansion, which was developed recently by the principal investigator, has been used to clarify basic properties of a single-component Bose-Einstein condensate. A widely accepted viewpoint on the elementary excitations of the system is that the single- and two-particle excitations are identical and described by the gapless excitation of the Bogoliubov theory. We have found, however, that the two excitations are different from each other. It is also found that the well-known expression on the ground-state energy of a dilute Bose gas by Lee, Huang and Yang should be modified due to a new class of Feynman diagrams for the self-energy.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (33 results)

All 2013 2012 2011 2010 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results) Presentation (18 results) (of which Invited: 1 results) Remarks (3 results)

  • [Journal Article] Ground-State Energy and Condensate Density of a Dilute Bose Gas Revisited2013

    • Author(s)
      T. Kita
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 82

    • NAID

      40019665160

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Ground-State Energy and Condensate Density of a Dilute Bose Gas Revisited2013

    • Author(s)
      Kazumasa TSUTSUI and Takafumi KITA
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 82 Issue: 6 Pages: 063001-063001

    • DOI

      10.7566/jpsj.82.063001

    • NAID

      40019665160

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Studying Superfluid Transition of a Dilute Bose Gas by Conserving Approximations2012

    • Author(s)
      T. Kita
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 81

    • NAID

      40019484044

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Studying Superfluid Transition of a Dilute Bose Gas by Conserving Approximations2012

    • Author(s)
      Kazumasa TSUTSUI and Takafumi KITA
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 81 Issue: 11 Pages: 114002-114002

    • DOI

      10.1143/jpsj.81.114002

    • NAID

      40019484044

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-Consistent Approximations for Superconductivity beyond the Bardee-Cooper-Schrieffer Theory2011

    • Author(s)
      T. Kita
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 80

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Properties of Nambu-Goldstone Bosons in a Single-Component Bose-Einstein Condensate2011

    • Author(s)
      T. Kita
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 80

    • NAID

      40018947229

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Properties of Nambu-Goldstone Bosons in a Single-Component Bose-Einstein Condensate2011

    • Author(s)
      T.Kita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 80 Issue: 8 Pages: 84-606

    • DOI

      10.1143/jpsj.80.084606

    • NAID

      40018947229

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-Consistent Approximations for Superconductivity beyond the Bardeen-Cooper-Schrieffer Theory2011

    • Author(s)
      T.Kita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 80 Issue: 12 Pages: 124-704

    • DOI

      10.1143/jpsj.80.124704

    • NAID

      40019137453

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact Results on the Two-Particle Green's Function of a Bose-Einstein Condensate2010

    • Author(s)
      T. Kita
    • Journal Title

      Phys. Rev. B

      Volume: 81

    • NAID

      120002169310

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Introduction to Nonequilibrium Statistical Mechanics with Quantum Field Theory2010

    • Author(s)
      T. Kita
    • Journal Title

      Prog. Theor. Phys

      Volume: 123 Pages: 581-658

    • NAID

      110007612417

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Introduction to Nonequilibrium Statistical Mechanics with Quantum Field Theory2010

    • Author(s)
      T.Kita
    • Journal Title

      Progress of Theoretical Physics

      Volume: 123 Pages: 581-658

    • NAID

      110007612417

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact results on the two-particle Green's function of a Bose-Einstein condensate2010

    • Author(s)
      T.Kita
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 81

    • NAID

      120002169310

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] BEC相の数値的研究2013

    • Author(s)
      筒井和政、北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-28
    • Related Report
      2012 Final Research Report
  • [Presentation] ボーズ・アインシュタイン凝縮相の数値計算2013

    • Author(s)
      筒井和政,北孝文
    • Organizer
      日本物理学会2013年年次大会
    • Place of Presentation
      広島大学 (東広島市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Excitations in Bose-Einstein condensates revisited, Ninth International Conference on New Theories2012

    • Author(s)
      T . Kita
    • Organizer
      Discoveries and Applications of Superconductors and Related Materials
    • Place of Presentation
      イタリア共和国フラスカ
    • Year and Date
      2012-09-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 自己無撞着摂動展開によるBEC転移の研究2012

    • Author(s)
      筒井和政、北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-18
    • Related Report
      2012 Final Research Report
  • [Presentation] ボゴリュボフ・モードとHe のフォノン-ロトン曲線2012

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-27
    • Related Report
      2012 Final Research Report
  • [Presentation] ボゴリュボフ・モードと^4Heのフォノン・ロトン曲線2012

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学(西宮市)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 自己無撞着摂動展開によるBEC転移の研究2012

    • Author(s)
      筒井和政,北孝文
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学 (横浜市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Excitations in Bose-Einstein condensates revisited2012

    • Author(s)
      Takafumi KITA
    • Organizer
      Ninth International Conference on New Theories, Discoveries and Applications of Superconductors and Related Materials
    • Place of Presentation
      Grand Hotel Villa Tuscolana (Italy)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] FLEX近似の超伝導状態への拡張2011

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-23
    • Related Report
      2012 Final Research Report
  • [Presentation] FLEX近似の超伝導状態への拡張2011

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学(富山市)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] ボーズ-アインシュタイン凝縮理論の基礎を再考する2011

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-22
    • Related Report
      2012 Final Research Report
  • [Presentation] ボーズ・アインシュタイン凝縮理論の基礎を再考する2011

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学(富山市)
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] 場の量子論によるボーズ-アインシュタイン凝縮相の非平衡統計力学2011

    • Author(s)
      北孝文
    • Organizer
      基研研究会2011
    • Place of Presentation
      京都大学
    • Year and Date
      2011-08-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 場の量子論によるボーズ・アインシュタイン凝縮相の非平衡統計力学2011

    • Author(s)
      北孝文
    • Organizer
      京大基研研究会「非平衡系の物理-ミクロとマクロの架け橋」
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2011-08-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] A new self-consistent perturbation expansion for Bose-Einstein condensates satisfying conservation laws and Goldstone';s theorem2011

    • Author(s)
      T. Kita
    • Organizer
      APS March Meeting 2011
    • Place of Presentation
      アメリカ合衆国テキサス州ダラス,ダラスコンベンションセンター
    • Year and Date
      2011-03-25
    • Related Report
      2012 Final Research Report
  • [Presentation] A new self-consistent perturbation expansion for Bose-Einstein condensates satisfying conservation laws and Goldstone' ;s theorem2011

    • Author(s)
      T.Kita
    • Organizer
      American Physical Society March Meeting 2011
    • Place of Presentation
      アメリカ合衆国テキサス州ダラス
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] BECにおけるGoldstoneの定理と南部-Goldstoneボゾンの性質2010

    • Author(s)
      北孝文
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
    • Related Report
      2012 Final Research Report
  • [Presentation] BECにおけるGoldstoneの定理と南部-Goldstoneボゾンの性質2010

    • Author(s)
      北孝文
    • Organizer
      日本物理学会2010年秋の分科会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://phys.sci.hokudai.ac.jp/~kita/index.html

    • Related Report
      2012 Final Research Report
  • [Remarks]

    • URL

      http://phys.sci.hokudai.ac.ip/~kita/index.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://phys.sci.hokudai.ac.jp/~kita/index.html

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2020-05-15  

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