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2012 Fiscal Year Final Research Report

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

Research Project

  • PDF
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
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
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.

  • Research Products

    (16 results)

All 2013 2012 2011 2010 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (9 results) Remarks (1 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 Pages: 1163001(1-4)

    • 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 Pages: 114002(1-5)

    • 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 Pages: 124704(1-13)

    • 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 Pages: 084606(1-8)

    • 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 Pages: 214513(1-5)

    • 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

    • 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [Remarks]

    • URL

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

URL: 

Published: 2014-08-29  

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