Theoretical and numerical studies of quantum turbulence

• Project/Area Number: 26400366
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Condensed matter physics II
• Research Institution: Osaka City University
• Principal Investigator: TSUBOTA Makoto 大阪市立大学, 大学院理学研究科, 教授 (10197759)
• Research Collaborator: YANO Hideo ; FUJIMOTO Kazuya ; NAKATSUJI Ai ; YUI Satoshi ; IKAWA Shinichi
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: 量子乱流 / 量子渦 / 超流動ヘリウム / 原子気体ボース・アインシュタイン凝縮 / 古典乱流 / coflow / ボースグラス / 対数型速度分布 / 低温物性 / ボース・アインシュタイン凝縮

Outline of Final Research Achievements

We study analytically and numerically quantum turbulence (QT) in superfluid helium and atomic Bose-Einstein condensates (BECs). 1. Superfluid helium: 1-1. We study QT created by a vibrating sphere and find anisotropy of the vortex tangle. 1-2. We study inhomogeneous QT in thermal counterflow in a square channel. 1-3. We find logarithmic velocity profile of QT in a channel. 1-4. We study coflow where superfluid and normal fluid flow toward the same direction. This system was found to have an attractor into which vortices are attracted by mutual friction. 2. Atomic BEC: 2-1. We study spin-superflow coupled turbulence in spinor BECs. The power law of each energy spectrum is analytically obtained and confirmed numerically. 2-2. Bogoriubov wave turbulence is studied. The power laws of the correlation function are obtained from the weak wave turbulence theory, and confirmed numerically. 2-3. We find direct and inverse cascades of spin wave turbulence in spinor BEC.

Research Products

• [Int'l Joint Research] 国立台湾師範大学(台湾)
• [Journal Article] Quantum crystallography of Rydberg-dressed Bose gases on a square lattice (2017)
  • Author(s): Che-hsiu Hsueh, Wen-Chin Wu, Makoto Tsubota
  • Journal Title: Physical Review A Volume: 95 Issue: 1
  • DOI: 10.1103/physreva.95.013631
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Coflow turbulence of superfluid 4He in a square channel: Vortices trapped on a cylindrical attractor (2016)
  • Author(s): Shinichi Ikawa, makoto Tsubota
  • Journal Title: Physical Review B Volume: 93 Issue: 18
  • DOI: 10.1103/physrevb.93.184508
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Quantum Turbulence in Coflow of Superfluid 4He (2016)
  • Author(s): S.Ikawa, M. Tsubota
  • Journal Title: Journal of Low Temperature Physics Volume: 183 Issue: 3-4 Pages: 230-237
  • DOI: 10.1007/s10909-016-1578-9
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Direct and inverse cascades of spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates (2016)
  • Author(s): Kazuya Fujimoto, Makoto Tsubota
  • Journal Title: Physical Review A Volume: 93 Issue: 3 Pages: 033620-033620
  • DOI: 10.1103/physreva.93.033620
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Counterflow quantum turbulence of He-II in a square channel: Numerical analysis with nonuniform flows of the normal fluid (2015)
  • Author(s): Satoshi Yui, Makoto Tsubota
  • Journal Title: Physical Review B Volume: 91 Issue: 18
  • DOI: 10.1103/physrevb.91.184504
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Logarithmic velocity profile of quantum turbulence of superfluid 4He (2015)
  • Author(s): Satoshi Yui, Kazuya Fujimoto, Makoto Tsubota
  • Journal Title: Physical Review B Volume: 92 Issue: 22
  • DOI: 10.1103/physrevb.92.224513
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Bogoliubov-wave turbulence in Bose-Einstein condensates (2015)
  • Author(s): Kazuya Fujimoto, Makoto Tsubota
  • Journal Title: Physical Review A Volume: 91 Issue: 5
  • DOI: 10.1103/physreva.91.053620
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Statistics of vortex loops emitted from quantum turbulence driven by an oscillating sphere (2014)
  • Author(s): A. Nakatsuji*, M. Tsubota, H. Yano
  • Journal Title: Physical Review B Volume: 89 Issue: 17
  • DOI: 10.1103/physrevb.89.174520
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Spin-superflow turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates (2014)
  • Author(s): Kazuya Fujimoto and Makoto Tsubota
  • Journal Title: Physical Review A Volume: 90 Issue: 1
  • DOI: 10.1103/physreva.90.013629
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Topics of glasses in atomic Bose-Einstein condensates (2017)
  • Author(s): Makoto Tsubota
  • Organizer: Glasses and Related Nonequilibrium Systems
  • Place of Presentation: 大阪大学(大阪府豊中市待兼山町)
  • Year and Date: 2017-03-21
  • Int'l Joint Research / Invited
• [Presentation] Quantum Turbulence in Bose-Einstein Condensates (2016)
  • Author(s): Makoto Tsubota
  • Organizer: Topological Effects in Ultra-Cold Atoms
  • Place of Presentation: Federal University of Rio Grande do Norte, Brazil
  • Year and Date: 2016-11-14
  • Int'l Joint Research / Invited
• [Presentation] Inhomogeneous quantum turbulence in a channel (2016)
  • Author(s): M. Tsubota, S. Yui,and S. Ikawa
  • Organizer: QFS2016: Internatinal Conference on Quantum Fluids and Solids
  • Place of Presentation: Prague, Czech Republic
  • Year and Date: 2016-08-10
  • Int'l Joint Research
• [Presentation] Inhomogeneous quantum turbulence and the dynamics of quantized vortices (2016)
  • Author(s): Makoto Tsubota
  • Organizer: Dynamics of Electron Vortex and Spin Vortex
  • Place of Presentation: 豊田理研(名古屋市西区則武新町)
  • Year and Date: 2016-07-01
  • Int'l Joint Research / Invited
• [Presentation] Inhomogeneous quantum turbulence in a channel (2016)
  • Author(s): Makoto Tsubota
  • Organizer: New Challenges in Mathematical Modelling and Numerical Simulation of Superfluids
  • Place of Presentation: Marseille, France
  • Year and Date: 2016-06-27
  • Int'l Joint Research / Invited
• [Presentation] Numerical simulation of quantum turbulence in superfluid helium -Inhomogeneous quantum turbulence- (2016)
  • Author(s): Makoto Tsubota
  • Organizer: Helicity,Structures and Singularity in Fluid and Plasma Dynamics"
  • Place of Presentation: Venice, Italy
  • Year and Date: 2016-04-11
  • Int'l Joint Research / Invited
• [Presentation] 非一様量子乱流 (2016)
  • Author(s): 坪田誠
  • Organizer: 日本物理学会
  • Place of Presentation: 東北学院大学(宮城県仙台市）
  • Year and Date: 2016-03-19
  • Invited
• [Presentation] Numerical simulation of quantum turbulence (2016)
  • Author(s): 坪田誠
  • Organizer: アメリカ物理学会 March meeting 2016
  • Place of Presentation: アメリカ、ボルチモア
  • Year and Date: 2016-03-14
  • Int'l Joint Research / Invited
• [Presentation] Quantum Hydrodynamics and Turbulence in Atomic Bose-Einstein Condensates (2016)
  • Author(s): 坪田誠
  • Organizer: Workshop on Computation of Quantum Systems in Cold-mtter Physics and Chemistry
  • Place of Presentation: カナダ、トロント
  • Year and Date: 2016-02-22
  • Int'l Joint Research / Invited
• [Presentation] Inhomogeneous Quantum Turbulence in Thermal Counterflow (2015)
  • Author(s): 坪田誠
  • Organizer: International conference on Quantum Fluids and Solids 2015
  • Place of Presentation: アメリカ、ナイアガラ
  • Year and Date: 2015-08-09
  • Int'l Joint Research / Invited
• [Presentation] Quantum hydrodynamics and turbulence in atomic Bose-Einstein condensates (2015)
  • Author(s): 坪田誠
  • Organizer: Hybrid Photonics an Materials 2015
  • Place of Presentation: ギリシャ、サントリーニ
  • Year and Date: 2015-05-27
  • Int'l Joint Research / Invited
• [Presentation] Quantum Hydrodynamics and Turbulence in Atomic Bose-Einstein Condensates (2015)
  • Author(s): Makoto Tsubota
  • Organizer: 4th International Conference on Current Developments in Atomic, Molecular, Optical and Nano Physics with Applications
  • Place of Presentation: Delhi, India
  • Year and Date: 2015-03-11 – 2015-03-14
  • Invited
• [Presentation] Quantum hydrodynamics and turbulence in atomic Bose-Einstein condensates (2014)
  • Author(s): Makoto Tsubota
  • Organizer: Quo vadis BEC,
  • Place of Presentation: Bad Honnef, Germany
  • Year and Date: 2014-12-16 – 2014-12-20
  • Invited
• [Presentation] Quantum Hydrodynamics and Turbulence in Atomic Bose-Einstein Condensates (2014)
  • Author(s): Makoto Tsubota
  • Organizer: Laser Science
  • Place of Presentation: Tucson, America
  • Year and Date: 2014-10-19 – 2014-10-23
  • Invited
• [Presentation] Quantum Hydrodunamics and Turbulence in Atomic Bose-Einstein Condensates (2014)
  • Author(s): Makoto Tsubota
  • Organizer: Qunatum Gases, Fluid and Solids,
  • Place of Presentation: Sao Carlos, Brazil
  • Year and Date: 2014-08-14 – 2014-08-17
  • Invited