Quantitative study on anisotropic superfluidity and Majorana fermions in ultracold Fermi gases

• Project/Area Number: 20740233
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Atomic/Molecular/Quantum electronics
• Research Institution: Okayama University
• Principal Investigator: MIZUSHIMA Takeshi 岡山大学, 大学院・自然科学研究科, 助教 (50379707)
• Project Period (FY): 2008 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 冷却原子 / 異方的超流動 / マヨラナ粒子 / トポロジカル相転移 / 量子渦 / ボース凝縮 / 超流動 / 量子エレクトロニクス

Research Abstract

We have clarified the microscopic structure of topological superfluid phase in Fermi gases, based on the fully microscopic theory. The property of Majorana zero modes in the vicinity of topological phase transition and the splitting due to their tunneling have been discussed. For fast and efficient calculation, we have improved the numerical scheme using the Krylov subspace iteration method and the finite element method with the discrete variable representation.

Research Products

• [Journal Article] Textures of spin-orbit coupled F=2 spinor Bose-Einstein condensates (2011)
  • Author(s): 川上拓人, 水島健, 町田一成
  • Journal Title: Phys. Rev. A Volume: 84 Pages: 11607-11607
• [Journal Article] Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids (2011)
  • Author(s): 川上拓人, 水島健, 町田一成
  • Journal Title: J. Phys. Soc. Jpn Volume: 80 Pages: 44603-44603
  • NAID: 40018787418
• [Journal Article] Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids (2011)
  • Author(s): Takuto Kawakami
  • Journal Title: Journal of the Physical Society of Japan Volume: 80 Issue: 4 Pages: 044603-044603
  • DOI: 10.1143/jpsj.80.044603
  • Peer Reviewed
• [Journal Article] Textures of F=2 spinor Bose-Einstein condensates with spin-orbit coupling (2011)
  • Author(s): Takuto Kawakami, et al
  • Journal Title: Physical Review A Volume: 84 Issue: 1
  • DOI: 10.1103/physreva.84.011607
  • Peer Reviewed
• [Journal Article] スピン3重項p波超流動研究の新展開-アンドレーエフ束縛状態とその多面性 (2011)
  • Author(s): 水島健
  • Journal Title: 物性研究 Volume: 97 Pages: 149-192
• [Journal Article] 超伝導、並びに超流動における量子渦の物理 (2011)
  • Author(s): 水島健
  • Journal Title: 物性研究 Volume: 97 Pages: 1082-1096
• [Journal Article] Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices (2010)
  • Author(s): 水島健, 町田一成
  • Journal Title: Physical Review A Volume: 82
• [Journal Article] Vortex structures and zero energy states in the BCS-to-BECevolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健, 町田一成
  • Journal Title: Physical Review A Volume: 81
• [Journal Article] Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices (2010)
  • Author(s): 水島健, 町田一成
  • Journal Title: Physical Review A82
• [Journal Article] Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健, 町田一成
  • Journal Title: Physical Review A81
• [Journal Article] Vortex structures and zero-energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健
  • Journal Title: Phycal Review A Volume: 81
  • Peer Reviewed
• [Journal Article] Spin textures in a condensate with large dipole moments (2010)
  • Author(s): Jukka A.M., Huhtamaki
  • Journal Title: Phycal Roview A Volume: 81
  • Peer Reviewed
• [Journal Article] Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices (2010)
  • Author(s): 水島健
  • Journal Title: Phycal Review A Volume: 82
  • Peer Reviewed
• [Journal Article] Skyrmion lattice and intrinsic angular momentum effect in the A phase of superfluid 3He under rotation (2010)
  • Author(s): 市岡優典
  • Journal Title: Phycal Review B Volume: 82
  • Peer Reviewed
• [Journal Article] Majorana edge modes of superfluid 3He A phase in a slab (2010)
  • Author(s): 堤康雅
  • Journal Title: Journal of the Physical Society of Japan Volume: 79
  • Peer Reviewed
• [Journal Article] Rotating bipolar Spin-1 Bose-Einstein Condensates (2010)
  • Author(s): Tapio P.Simula
  • Journal Title: Journal of the Physical Society of Japan Volume: 80
  • Peer Reviewed
• [Journal Article] Effects of Majorana Edge Fermions on Dynamical Spin Susceptibility in Topological Superfluid 3He-B (2010)
  • Author(s): 水島健
  • Journal Title: Journal of Lox Temperature Physics Volume: 162 Pages: 204-211
  • Peer Reviewed
• [Journal Article] Majorana edge modes of superfluid 3He A- and B-phases (2010)
  • Author(s): 堤康雅
  • Journal Title: Journal of Low Temperature Physics Volume: 162 Pages: 196-203
  • Peer Reviewed
• [Journal Article] Textures and exotic vortices in neutral Fermion superfluids (2010)
  • Author(s): 町田一成
  • Journal Title: Jounal of Low temperature of Physics 158 Pages: 377383-377383
  • Peer Reviewed
• [Journal Article] Dynamical instabilities of coreless vortices in F=2 spinor Bose-Einstein condensates (2010)
  • Author(s): 高橋雅裕
  • Journal Title: Jounal of Low temperature of Physics 158 Pages: 5864-5864
  • Peer Reviewed
• [Journal Article] p波超流動体の量子渦に潜むマヨラナ型準粒子 (2009)
  • Author(s): 水島健, 市岡優典, 町田一成
  • Journal Title: 日本物理学会誌 Volume: 64 Pages: 836-840
• [Journal Article] p波超流動体の量子渦に潜むマヨラナ型準粒子 (2009)
  • Author(s): 水島健, 市岡優典, 町田一成
  • Journal Title: 日本物理学会誌 642 Pages: 836-840
• [Journal Article] p波超流動体の量子渦に潜むマヨラナ型準粒子 (2009)
  • Author(s): 水島健
  • Journal Title: 日本物理学会誌 64 Pages: 836840-836840
  • Peer Reviewed
• [Journal Article] Vortex-splitting and phase-separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates (2009)
  • Author(s): M. Takahashi
  • Journal Title: Physical Review A 79
  • Peer Reviewed
• [Journal Article] Effective field theory for spinor dipolar Bose Einstein condensates (2009)
  • Author(s): M. Takahashi
  • Journal Title: The European Physical Journal B (Online First) Pages: 1-10
  • Peer Reviewed
• [Journal Article] Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance (2008)
  • Author(s): 水島健, 市岡優典, 町田一成
  • Journal Title: Physical Review Letters Volume: 101
• [Journal Article] Majorana Bound State in Rotating Superfluid 3He-A of Parallel Plates (2008)
  • Author(s): 堤康雅, 川上拓人, 水島健, 市岡優典, 町田一成
  • Journal Title: Physical Review Letters Volume: 101
• [Journal Article] Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance (2008)
  • Author(s): 水島健, 市岡優典, 町田一成
  • Journal Title: Physical Review Letters 101
• [Journal Article] Majorana Bound State in Rotating Superfluid 3He-A of Parallel Plates (2008)
  • Author(s): 堤康雅, 川上拓人, 水島健, 市岡優典, 町田一成
  • Journal Title: Physical Review Letters 101
• [Journal Article] Magnetization profile and core-level spectroscopy in a multiply quantized vortex of imbalanced Fermi superfluids (2008)
  • Author(s): K. M. Suzuki
  • Journal Title: Physical Review A 77
  • Peer Reviewed
• [Journal Article] Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates (2008)
  • Author(s): T. P. Simula
  • Journal Title: Physical Review Letters 101
  • Peer Reviewed
• [Journal Article] Majorana Bound State in Rotating Superfluid 3He-A between Parallel Plates (2008)
  • Author(s): Y. Tsutsumi
  • Journal Title: Physical Review Letters 101
  • Peer Reviewed
• [Journal Article] Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance (2008)
  • Author(s): T. Mizushima
  • Journal Title: Physical Review Letters 101
  • Peer Reviewed
• [Journal Article] Vortex waves in trapped Bose-Einstein condensates (2008)
  • Author(s): T. P. Simula
  • Journal Title: Physical Review A 78
  • Peer Reviewed
• [Presentation] Surface Majorana fermions and field-induced topological phase transition in superfluid 3He-B (2012)
  • Author(s): 水島健
  • Organizer: Microkelvin 2012
  • Place of Presentation: スロバキア
• [Presentation] Role of the order parameter manifold on surface Majorana fermions and spin susceptibility of superfluid 3He-B (2012)
  • Author(s): 水島健
  • Organizer: APSMarch Meeting 2012
  • Place of Presentation: ボストン
• [Presentation] Surface Andreev Bound States in Topological Superfluid ^3He-B (2012)
  • Author(s): 水島健
  • Organizer: ISSP短期研究会:量子凝縮系におけるdefectとtopology
  • Place of Presentation: 東京大学物性研究所(千葉県)(招待講演)
• [Presentation] Bose-Einstein Condensates in Non-Abelian Gauge Fields (2012)
  • Author(s): 水島健
  • Organizer: Ultracold Gases : Superfluidity and Strong Correlations
  • Place of Presentation: 東京理科大学(東京都)(招待講演)
• [Presentation] Role of the order parameter manifold on surface Majorana fermions and spin susceptibilities of superfluid ^3He-B (2012)
  • Author(s): 水島健
  • Organizer: APS March Meeting 2012
  • Place of Presentation: Boston, U.S.A.
• [Presentation] Surface Majorana fermions and field-induced topological phase transition in superfluid ^3He-B (2012)
  • Author(s): 水島健
  • Organizer: Microkelvin 2012
  • Place of Presentation: Smolenice, Slovakia(招待講演)
• [Presentation] 量子極限にあるカイラルp波超伝導体の渦芯近傍における奇周波数クーパー対 (2012)
  • Author(s): 水島健
  • Organizer: 日本物理学会2012年年次大会
  • Place of Presentation: 関西学院大学(兵庫県)
• [Presentation] 超流動体における量子渦の内部構造とマヨラナフェルミオン (2012)
  • Author(s): 水島健
  • Organizer: 日本物理学会2012年年次大会
  • Place of Presentation: 関西学院大学(兵庫県)(招待講演)
• [Presentation] 超流動体、並びに超伝導体における量子渦の物理 (2011)
  • Author(s): 水島健
  • Organizer: 第56回物性若手夏の学校(サブゼミ講師)
  • Place of Presentation: 山梨県
  • Year and Date: 2011-08-04
• [Presentation] Surface and Vortex Bound States in Topological Superconductors and Superfluids (2011)
  • Author(s): 水島健
  • Organizer: International Workshop for Young Researchers on Topological Quantum Phenomena
  • Place of Presentation: 滋賀県
• [Presentation] Textures of spin-orbit coupled F=2 spinor Bose-Einstein condensates (2011)
  • Author(s): 水島健
  • Place of Presentation: スペイン
• [Presentation] Majorana Fermions Bound at Vortices and Surface of Superfluid 3He (2011)
  • Author(s): 水島健
  • Organizer: 26th International Confernece on Low Temperature Physics
  • Place of Presentation: 北京
• [Presentation] BCS-BEC Evolution and Majorana Zero Modes in p-wave Resonant Fermi Gases (2011)
  • Author(s): 水島健
  • Organizer: Conference on Research Frontiers in Ultra-Cold Atomic and Molecular Gases
  • Place of Presentation: インド
• [Presentation] ^3He超流動体の半整数量子渦 (2011)
  • Author(s): 水島健
  • Organizer: 新学術領域「トポロジカル量子現象」第5回集中連携研究会
  • Place of Presentation: 大阪市立大学(大阪府)
• [Presentation] 超伝導、並びに超伝導における量子渦の物理 (2011)
  • Author(s): 水島健
  • Organizer: 第56回物性若手夏の学校
  • Place of Presentation: ホテルエバーグリーン富士(山梨県)(招待講演)
• [Presentation] Majorana fermions bound at vortices and surfaces in superfluid ^3He (2011)
  • Author(s): 水島健
  • Organizer: 26th International Conference on Low Temperature Physics
  • Place of Presentation: Beijing, China(招待講演)
• [Presentation] A-B phase transition and edge states in superfluid ^3He under magnetic fields (2011)
  • Author(s): 水島健
  • Organizer: 26th International Conference on Low Temperature Physics
  • Place of Presentation: Beijing, China
• [Presentation] 超流動体^3Heにおける表面アンドレーエフ束縛状態 (2011)
  • Author(s): 水島健
  • Organizer: 新学術領域「トポロジカル量子現象」第7回集中連携研究会
  • Place of Presentation: 名古屋大学(愛知県)
• [Presentation] Textures of spin-orbit coupled F=2 spinor Bose-Einstein condensates (2011)
  • Author(s): 水島健
  • Organizer: Bose-Einstein Condensation : Frontiers in Quantum Gases
  • Place of Presentation: Sant Feliu de Guixols, Spain
• [Presentation] 超流動3Heの表面束縛状態に対する磁場と双極子相互作用の効果 (2011)
  • Author(s): 水島健
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学(富山県)
• [Presentation] 冷却原子気体におけるエキゾチック超流動相の実現 (2011)
  • Author(s): 水島健
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学(富山県)(招待講演)
• [Presentation] Surface and Vortex Bound Sstates in Topological Superconductors and Superfluids (2011)
  • Author(s): 水島健
  • Organizer: International Workshop for Young Researchers on Topological Quantum Phenomena
  • Place of Presentation: ラフォーレ琵琶湖(滋賀県)(招待講演)
• [Presentation] Role of the order parameter manifold on surface Majorana fermions in topological superfluid ^3He-B (2011)
  • Author(s): 水島健
  • Organizer: 新学術領域「トポロジカル量子現象」第2回領域研究会
  • Place of Presentation: 岡山大学(岡山県)
• [Presentation] BCS-BEC Evolution and Majorana Zero Modes in p-wave Resonant Fermi Gases (2011)
  • Author(s): 水島健
  • Organizer: Conference on Research frontiers in Ultra-Cold Atomic and Molecular Gases
  • Place of Presentation: Goa, India
• [Presentation] 磁場中の超流動3HeにおけるA-B転移と表面束縛状態 (2011)
  • Author(s): 水島健
  • Organizer: 日本物理学会第66回年次大会
  • Place of Presentation: 新潟県
• [Presentation] 冷却原子気体における異方的超流動とマヨラナ準粒子 (2011)
  • Author(s): 水島健
  • Organizer: 日本物理学会第66回年次大会
  • Place of Presentation: 新潟県
• [Presentation] Majorana fermions in spin-polarized chiral p-wave superfluids with plural vortices (2010)
  • Author(s): 水島健
  • Organizer: International Symposium on Physics of New Quantum Phases in Superclean Materials
  • Place of Presentation: 横浜
  • Year and Date: 2010-03-10
• [Presentation] Surface Andreev bound states and thermodynamic quantities in 3He B-phase (2010)
  • Author(s): 水島健
  • Organizer: International Symposium on Physics of New Quantum Phases in Superclean Materials
  • Place of Presentation: 横浜
  • Year and Date: 2010-03-10
• [Presentation] BCS-BEC Evolution and Majorana Zero Modes in p-Wave Resonant Fermi Gases (2010)
  • Author(s): 水島健
  • Organizer: 22nd International Conference on Atomic Physics(ICAP2010)
  • Place of Presentation: オーストラリア
• [Presentation] Majorana zero modes in the BCS-BEC evolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健
  • Organizer: The International Workshop on Ultracold Fermi Gas : Superfluidity and Strong-Correlation(USS-2010)
  • Place of Presentation: 東京
• [Presentation] Majorana zero modes in the BCS-BEC evolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健
  • Organizer: The International Workshop on Ultracold Fermi Gas : Sunerfluiditv and Strong-Correlation(USS-2010)
  • Place of Presentation: 東京
• [Presentation] Majorana zero modes in the BCS-BSC cvolution of p-wave resonant Fermi gases (2010)
  • Author(s): 水島健
  • Organizer: The International Workshop on Ultracold Formi Gas : Superfluidity and Strong-Correlation (USS-2010)
  • Place of Presentation: 東京都
• [Presentation] BCS-BEC Evolution and Majorana Zero Modes in p-Wave Rosonant Fermi Gases (2010)
  • Author(s): 水島健
  • Organizer: 22nd International Conferonce on Atomic Physics (ICAP2010)
  • Place of Presentation: Cairns, Australia
• [Presentation] Effects of Majorana Edge Fermions on Dynanical Spin Susceptibility in Topological Superfluid 3He-B (2010)
  • Author(s): 水島健
  • Organizer: International Symposium on Quantum Fluids and Solids (QFS2010)
  • Place of Presentation: Grenoble, France
• [Presentation] スピン3重項p波超流動体におけるマヨラナ型準粒子 (2010)
  • Author(s): 水島健
  • Organizer: 第4回物性科学領域横断研究会(7領域合同研究会)
  • Place of Presentation: 東京都
• [Presentation] Majorana Formions in Spin-Triplet Superfluids (2010)
  • Author(s): 水島健
  • Organizer: 新学術領域研究「対称性の破れた凝縮系におけるトポロジカル量子現象」第1回領域研究会
  • Place of Presentation: 京都府
• [Presentation] 3Heマヨラナモードとフェルミ気体 (2009)
  • Author(s): 水島健
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25
• [Presentation] What are Majorana fermions? (2009)
  • Author(s): 水島健
  • Organizer: Novel Spin Pairing 2009 (NSP2009)
  • Place of Presentation: 京都大学
  • Year and Date: 2009-09-13
• [Presentation] Zero energy Majorana fermions topologically protected against vortex interaction in p-wave superfluids (2009)
  • Author(s): 水島健
  • Organizer: Bose-Einstein Condensation : Frontiers in Quantum Gases
  • Place of Presentation: スペイン
  • Year and Date: 2009-09-05
• [Presentation] Zero energy Majorana fermions in fermi gases near a p-wave feshbach resonance (2009)
  • Author(s): 水島健
  • Organizer: he 19th International Conference on Laser Spectroscopy
  • Place of Presentation: 北海道
  • Year and Date: 2009-06-07
• [Presentation] What are Majorana fermions? (2009)
  • Author(s): 水島健
  • Organizer: Novel Spin Pairing 2009(NSP2009)
  • Place of Presentation: 京都
• [Presentation] 3Heマヨラナモードとフェルミ気体 (2009)
  • Author(s): 水島健
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本
• [Presentation] What are Majorana fermions (2009)
  • Author(s): 水島健
  • Organizer: Novel Spin Pairing 2009(NSP2009)
  • Place of Presentation: 京都
• [Presentation] 超流動3He及び中性フェルミ気体におけるマヨラナ状態 (2008)
  • Author(s): 水島健
  • Organizer: スーパークリーン特定・研究成果報告会'08
  • Place of Presentation: 奈良県新公会堂
  • Year and Date: 2008-12-19
• [Presentation] Role of the Majorana fermion and the edge mode in chiral superfluidity near a p-wave Feshbach resonance (2008)
  • Author(s): 水島健
  • Organizer: Frontiers of Degenerate Quantum Gases
  • Place of Presentation: 北京(中国)
  • Year and Date: 2008-10-20
• [Presentation] p波フェッシュバッハ共鳴を持つフェルミ原子気体における超流動状態と固有角運動量 (2008)
  • Author(s): 水島健
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-22
• [Presentation] フェッシュバッハ共鳴制御で実現する新しい超流動状態 (2008)
  • Author(s): 水島健
  • Organizer: スーパークリーン特定・若手夏の学校
  • Place of Presentation: 熱川ハイツ
  • Year and Date: 2008-09-02
• [Presentation] Role of the Majorana fermion and the edge mode in chiral superfluidity near a p-wave Feshbach resonance (2008)
  • Author(s): 水島健
  • Organizer: ULT 2008-Frontiers of Low Temperature Physics
  • Place of Presentation: London UK
  • Year and Date: 2008-08-19
• [Presentation] Chiral Paired Superfluid in a Two-Dimensional Fermi Gas with p-Wave Feshbach Resonance (2008)
  • Author(s): 水島健
  • Organizer: 25th International Conference on Low Temperature Physics
  • Place of Presentation: Amsterdam, Netherlands
  • Year and Date: 2008-08-06
• [Presentation] p波フェッシュバッハ共鳴により実現される異方的超流動状態 (2008)
  • Author(s): 水島健
  • Organizer: 基研研究会「不均一超伝導超流動状態と量子物理」
  • Place of Presentation: 京都大学
  • Year and Date: 2008-08-02
• [Presentation] p波共鳴近傍における回転するフェルミ原子気体の渦格子構造とマヨラナ状態 (2008)
  • Author(s): 水島健
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2008-03-29