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

2008 Fiscal Year Final Research Report

• Project/Area Number: 17540364
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Waseda University
• Principal Investigator: YAMANAKA Yoshiya Waseda University, 理工学術院, 教授 (10174757)
• 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
• 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

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。

Research Products

• [Journal Article] Nonequilibrium TFD for systems of trapped cold atoms (2009)
  • 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 Pages: F75-F77
• [Journal Article] Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices (2008)
  • Author(s): Keita Kobayashi, Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: Annals of Physics 323 Pages: 1247-1270
  • Peer Reviewed
• [Journal Article] Condition for Emergence of Complex Eigenvalues in the Bogoliubov-de Gennes Equations (2008)
  • Author(s): Yusuke Nakamura, Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: Physical Review A 77 Pages: 043601
  • Peer Reviewed
• [Journal Article] Quantum Field Theoretical Description of Unstable Behavior of Trapped Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations (2007)
  • Author(s): Makoto Mine, Masahiko Okumura, Tomoka Sunaga, Yoshiya Yamanaka
  • Journal Title: Annals of Physics 322 Pages: 2327-2349
  • Peer Reviewed
• [Journal Article] Condition for the Existence of Complex Modes in a Trapped Bose-Einstein Condensate with a Highly Quantized Vortex (2007)
  • Author(s): Eriko Fukuyama, Makoto Mine, Masahiko Okumura, Tomoka Sunaga, Yoshiya Yamanaka
  • Journal Title: Physical Review A 76 Pages: 043608
  • Peer Reviewed
• [Journal Article] Goldstone Theorem, Hugenholtz-Pines Theorem and Ward-Takahashi Relation in Finite Volume Bose-Einstein Condensed Gases (2006)
  • Author(s): Hiroaki Enomoto, Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: Annals of Physics 321 Pages: 1892-1917
  • Peer Reviewed
• [Journal Article] Unitarily Inequivalent Vacua in Bose-Einstein Condensation of Trapped Gases (2006)
  • Author(s): Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: Physica A 365 Pages: 429-445
  • Peer Reviewed
• [Journal Article] Effect of the Zero-Mode on the Response of a Trapped Bose-Condensed Gas (2006)
  • Author(s): Makoto Mine, Tomoi Koide, Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: Progress of Theoretical Physics 115 Pages: 683-700
  • Peer Reviewed
• [Journal Article] Relation between generalized Bogoliubov and Bogoliubov-de Gennes approaches including Nambu-Goldstone mode (2005)
  • Author(s): Makoto Mine, Masahiko Okumura, Yoshiya Yamanaka
  • Journal Title: J. Math. Phys. 46 Pages: 042307
  • Peer Reviewed
• [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
• [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
• [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
• [Presentation] Nonequilibrium TFD for systems of trapped cold atoms (2008)
  • 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
• [Presentation] Quantum Fluctuation Effect in Dynamical Instability of Bose-Einstein Condensate with a Highly Quantized Vortex (2008)
  • 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
• [Presentation] Condition for Dynamical Instability of a Trapped Bose-Einstein Condensate with a Highly Quantized Vortex (2008)
  • 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
• [Presentation] Analysis on the Condition of the Emergence of Complex Eigenvalues in the BdG Equation (2008)
  • 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
• [Presentation] Bogoliubov-de Gennes Approach with Complex Eigenmodes and Physical States (2006)
  • 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
• [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(85-145)
  • Publisher: 共立出版