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Quantum Fermi-Pasta-Ulam recurrence in ultracold atomic gases

Research Project

Project/Area Number 22840051
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Atomic/Molecular/Quantum electronics
Research InstitutionThe Institute of Physical and Chemical Research

Principal Investigator

DANSHITA Ippei  The Institute of Physical and Chemical Research, 柚木計算物性物理研究室, 基礎科学特別研究員 (90586950)

Project Period (FY) 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥1,625,000 (Direct Cost: ¥1,250,000、Indirect Cost: ¥375,000)
Fiscal Year 2010: ¥1,625,000 (Direct Cost: ¥1,250,000、Indirect Cost: ¥375,000)
Keywordsフェルミ・パスタ・ウラムの再帰現象 / 冷却原子気体 / 光格子 / ボース・アインシュタイン凝縮 / エルゴード性 / 非線形シュレーディンガー方程式 / ボース・ハバード模型 / Fermi-Pasta-Ulamの再起現象 / Bose-Einstein凝縮 / Bose-Hubbard模型 / Time-evolving block decimation / 量子揺らぎ
Research Abstract

The Fermi-Pasta-Ulam recurrence has been a foundation of the nonlinear physics in the sense that the pursuit of the understanding of the FPU recurrence led to the discovery of "solitons" and the development of chaos theory. Nevertheless, experimental observation of the FPU recurrence is very rare. In this work, we proposed that the FPU recurrence can be actually observed in experiments with one-dimensional Bose gases confined into an optical lattice. Moreover, we showed that strong quantum fluctuations cause significant damping of the FPU oscillation.

Report

(2 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • Research Products

    (18 results)

All 2011 2010 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (13 results) Remarks (1 results)

  • [Journal Article] Stability of superflow in supersolid phases of lattice bosons with dipole-dipole interaction2011

    • Author(s)
      D.Yamamoto, I.Danshita
    • Journal Title

      Journal of Physics : Conference Series 273

      Pages: 12020-12020

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability of superflow in supersolid phases of lattice bosons with dipole-dipole interaction2011

    • Author(s)
      D.Yamamoto, I.Danshita
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 273 Pages: 12020-12020

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Accurate numerical verification of the instanton method for macroscopic quantum tunneling : dynamics of phase slips2010

    • Author(s)
      I.Danshita, A.Polkovnikov
    • Journal Title

      Physical Review B 82

      Pages: 94304-94304

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Accurate numerical verification of the instanton method for macroscopic quantum tunneling : Dynamics of phase slips2010

    • Author(s)
      I.Danshita, A.Polkovnikov
    • Journal Title

      Physical Review B

      Volume: 82 Pages: 94304-94304

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 光格子中のボース気体におけるFermi-Pasta-Ulamの再帰現象に対する量子効果2011

    • Author(s)
      段下一平,R.Hipolito, V.Oganesyan, A.Polkovnikov
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      岡山大学(岡山)
    • Year and Date
      2011-03-26
    • Related Report
      2010 Final Research Report
  • [Presentation] 光格子中のボース気体におけるFermi-Pasta-Ulamの再起現象に対する量子効果2011

    • Author(s)
      段下一平, R.Hipolito, V.Oganesyan, A.Polkovnikov
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟市、新潟大学
    • Year and Date
      2011-03-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantum effects on Fermi-Pasta-Ulam recurrence in ultracold lattice bosons2011

    • Author(s)
      I.Danshita, R.Hipolito, V.Oganesyan, A.Polkovnkov
    • Organizer
      American Physical Society March Meeting
    • Place of Presentation
      Dallas Texas, USA
    • Year and Date
      2011-03-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Quantum effects on Fermi-Pasta-Ulam recurrence in ultracold lattice bosons2011

    • Author(s)
      I.Danshita, R.Hipolito, V.Oganesyan, A.Polkovnikov
    • Organizer
      American Physical Society March Meeting
    • Place of Presentation
      米国Texas州Dallas市
    • Year and Date
      2011-03-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability and critical velocity of dipolar bosons in a moving optical lattice2011

    • Author(s)
      I.Danshita, D.Yamamoto
    • Organizer
      ERATO Macroscopic quantum control conference on ultracold atoms and molecules
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2011-01-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Stability and critical velocity of dipolar bosons in a moving optical lattice2011

    • Author(s)
      I.Danshita, D.Yamamoto
    • Organizer
      ERATO Macroscopic Quantum Control Conference on Ultracold Atoms and Molecules
    • Place of Presentation
      東京、東京大学
    • Year and Date
      2011-01-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Transport and macroscopic quantum tunneling of one-dimensional Bose gases in an optical lattice2010

    • Author(s)
      I.Danshita, C.W.Clark, A.Polkovnikov
    • Organizer
      New Development of Numerical Simulations in Low-Dimensional Quantum Systems : From Density Matrix Renormalization Group to Tensor Network Formulations
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2010-10-28
    • Related Report
      2010 Final Research Report
  • [Presentation] Transport and macroscopic quantum tunneling of one-dimensional Bosegases in an optical lattice2010

    • Author(s)
      I.Danshita, C.W.Clark, A.Polkovnikov
    • Organizer
      New Development of Numerical Simulations in Low-Dimensional Quantum Systems : From Density Matrix Renormalization Group to Tensor Network Formulations
    • Place of Presentation
      京都市、京都大学
    • Year and Date
      2010-10-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 一次元ボース・ハバード系における超流動-絶縁体転移とインスタントンの関係2010

    • Author(s)
      段下一平,A.Polkovnikov
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      大阪府立大学(堺)
    • Year and Date
      2010-09-26
    • Related Report
      2010 Final Research Report
  • [Presentation] 一次元ボース・ハバード系における超流動-絶縁体転移とインスタントンの関係2010

    • Author(s)
      段下一平, A.Polkovnikov
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      堺市、大阪府立大学
    • Year and Date
      2010-09-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 光格子中における一次元ボース気体の超流動2010

    • Author(s)
      段下一平
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      大阪府立大学(堺)(招待講演)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 光格子中における一次元ボース気体の超流動2010

    • Author(s)
      段下一平
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      堺市、大阪府立大学(招待講演)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Macroscopic quantum tunneling dynamics in one-dimensional Bose gases2010

    • Author(s)
      I.Danshita, A.Polkovnikov
    • Organizer
      International Workshop on Density Matrix Renormalization Group and Other Advances in Numerical Renormalization Group
    • Place of Presentation
      中国北京市、中国人民大学
    • Year and Date
      2010-08-30
    • Related Report
      2010 Annual Research Report
  • [Remarks] ホームページ等

    • Related Report
      2010 Final Research Report

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Published: 2010-08-27   Modified: 2016-04-21  

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